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Economics, section 1, Fall 2019
My Assignments

Camm, et al - Business Analytics 4/e (Homework)

James Finch

Economics, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 27 / 77

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving... ()

Ask Your Teacher Extension Requests Print Assignment

Question

Points

1	2	3	4	5	6	7	8	9	10
5/6	0/2	1/9	12/13	1/1	1/6	6/9	0/7	1/12	–/12

Total

27/77 (35.1%)

Instructions

Camm/Cochran/Fry/Ohlmann's best-selling Business Analytics, 4th Edition, published by Cengage Learning, covers the full range of analytics, from descriptive and predictive to prescriptive analytics. Step-by-step instructions demonstrate how to use Excel, Tableau, R, and JMP Pro for more advanced analytics concepts. You have the freedom to select your preferred method for teaching concepts using any of today's software choices. Extensive solutions to problems and cases save significant grading time while allowing you to ensure students are mastering the material. In addition, an all new WebAssign online course management system will allow you to customize material while strengthening each student's understanding of the concepts.

Question 1 features multiple question types and guides students through the process of interpreting values.

Question 2 links to an Excel data file.

Question 3 contains links to instructions for using R and uses grading that is consistent with R output.

Question 4 utilizes special grading to accept a simple linear regression model and guides students through a hypothesis test of the regression parameters.

Question 5 is representative of a test bank question offered.

Question 6 contains a Master It.

Question 7 features grading for a mathematical model and an answer blank format that mimics an Excel spreadsheet.

Question 8 exemplifies use of a simulation model run in Excel. Subsequent confidence intervals are then graded based on the values from their simulation. The solution, which can be visible after students submit responses, displays an Excel spreadsheet and the necessary formulas and instructions needed to run the simulation.

Question 9 allows students to input the appropriate objective function and constraints for a linear programming question and accepts alternative optima as an ordered list.

Question 10 demonstrates how answer blanks can be overlaid onto an image for a seamless experience that mimics textbook presentation. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 5/6 points | Previous Answers CammBA4 2.E.024. My Notes

Five observations taken for two variables follow.

x_i	4	6	11	3	16
y_i	50	60	40	70	20

(a)

Develop a scatter chart with x on the horizontal axis.

A scatter chart has a horizontal axis labeled "x" with values from 0 to 20 and a vertical axis labeled "y" with values from 0 to 80. The scatter chart has 5 points. The points are scattered from 3 to 16 on the horizontal axis centered at 8 and from 43 to 58 on the vertical axis centered at 51.2.

(b)

What does the scatter chart developed in part (a) indicate about the relationship between the two variables?

The scatter chart indicates that there is

a negative

relationship between the two variables.

(c)

Compute the sample covariance.

-97.5

Based on the sample covariance, what can be said about the relationship between the two variables?

There is a strong positive linear relationship between the two variables. There is a strong negative linear relationship between the two variables. There is no relationship between the two variables. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. correct

There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance.

(d)

Compute the sample correlation coefficient. (Round your answer to three decimal places.)

-0.933

Based on the sample correlation coefficient, what can be said about the relationship between the two variables?

There is a strong positive linear relationship between the two variables. correct

There is a strong negative linear relationship between the two variables. There is no relationship between the two variables. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient. There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.

Solution or Explanation

Note: We are displaying rounded intermediate values for practical purposes. However, the calculations are made using the unrounded values.

(a)

(b)

negative relationship

(c/d)

Values

Spreadsheet Solution
	A	B	C	D	E
1	x	y	x_i − x	y_i − y	(x_i − x)(y_i − y)
2	4	50	−4	2	−8
3	6	60	−2	12	−24
4	11	40	3	−8	−24
5	3	70	−5	22	−110
6	16	20	8	−28	−224
7
8	x =	8
9	y =	48
10
11	s_xy =	−97.5
12	Covariance:	−97.5
13
14	s_x =	5.431
15	s_y =	19.235
16
17	r_xy =	−0.933
18	Correlation Coefficient:	−0.933
19

Formulas

Formulas
	A	B	C	D	E
1	x	y	x_i − x	y_i − y	(x_i − x)(y_i − y)
2	4	50	=A2−$B$8	=B2−$B$9	=C2*D2
3	6	60	=A3−$B$8	=B3−$B$9	=C3*D3
4	11	40	=A4−$B$8	=B4−$B$9	=C4*D4
5	3	70	=A5−$B$8	=B5−$B$9	=C5*D5
6	16	20	=A6−$B$8	=B6−$B$9	=C6*D6
7
8	x =	=AVERAGE(A2:A6)
9	y =	=AVERAGE(B2:B6)
10
11	s_xy =	=SUM(E2:E6)/4
12	Covariance:	=COVARIANCE.S (A2:A6,B2:B6)
13
14	s_x =	=STDEV.S(A2:A6)
15	s_y =	=STDEV.S(B2:B6)
16
17	r_xy =	=B11/(B14*B15)
18	Correlation Coefficient:	=CORREL(A2:A6,B2:B6)
19

The negative value of the covariance suggests a negative linear relationship between the two variables. Because the value of the covariance depends on the units of measurement for x and y, it cannot be used to measure the strength of the linear relationship between the two variables. The sample correlation coefficient is not affected by the units of measurement therefore r = −0.933 indicates that there is a strong negative linear relationship between the two variables.

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2. 0/2 points | Previous Answers CammBA4 3.E.015.alt. My Notes

DATAfile: NewAuto

An automotive company is considering the introduction of a new model of sports car that will be available in four-cylinder and six-cylinder engine types. A sample of customers who were interested in this new model were asked to indicate their preference for an engine type for the new model of automobile. The customers were also asked to indicate their preference for exterior color from four choices: red, black, green, and white. Consider the following data regarding the customer responses.

	Four Cylinders	Six Cylinders
Red	143	857
Black	200	800
Green	321	679
White	420	580

(a)

Construct a clustered-column chart with exterior color as the horizontal variable.

A clustered-column chart has a horizontal axis labeled "Exterior Color" and a vertical axis labeled "Frequency" with values from 0 to 860. The clustered-column chart with 4 groups of columns is given. Each group consists of at most 2 individual columns. A description of the groups of columns is as follows. The group labels are given first, followed by each of the labels for the individual columns and their respective approximate heights.
red:
four cylinders: 580,

six cylinders: 420

black:
four cylinders: 679,

six cylinders: 321

green:
four cylinders: 800,

six cylinders: 200

white:
four cylinders: 857,

six cylinders: 143

(b)

What can we infer from the clustered-column chart in part (a)? (Select all that apply.)

Customers preferred the six cylinder engine type regardless of which exterior color they preferred. The company may sell very few red models with a four cylinder engine type, but they may have a better chance of selling white models with a four cylinder engine type. The company may sell very few white models with a four cylinder engine type, but they may have a better chance of selling red models with a four cylinder engine type. The number of customers who prefer a four cylinder engine type is increasing while the number who prefer a six cylinder engine type is decreasing. The number of customers who prefer a four cylinder engine type is decreasing while the number who prefer a six cylinder engine type is increasing. Customers preferred the four cylinder engine type regardless of which exterior color they preferred.

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3. 1/9 points | Previous Answers CammBA4 5.E.013.R. My Notes

4. 12/13 points | Previous Answers CammBA4 7.E.003. My Notes

DATAfile: Jensen

Jensen Tire & Auto is deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars).

Weekly Usage (hours)	Annual Maintenance Expense
13	17.0
10	22.0
20	30.0
28	37.0
32	47.0
17	30.5
24	32.5
31	39.0
40	51.5
38	40.0

(a)

Develop a scatter chart with weekly usage hours as the independent variable. What does the scatter chart indicate about the relationship between weekly usage and annual maintenance expense (in hundreds of dollars)?

The scatter chart indicates there may be no noticeable linear relationship between weekly usage and annual maintenance expense. correct

The scatter chart indicates there may be a positive linear relationship between weekly usage and annual maintenance expense. The scatter chart indicates there may be a negative linear relationship between weekly usage and annual maintenance expense.

(b)

Use the data to develop an estimated regression equation that could be used to predict the annual maintenance expense in hundreds of dollars (y) for a given number of hours of weekly usage (x). What is the estimated regression model? (Round your numerical values to four decimal places.)

ŷ =

.9534x+10.528

$webMathematica generated answer key$

(d)

How much of the variation in the sample values of annual maintenance expense (in %) does the model you estimated in part (b) explain? (Round your answer to one decimal place.)

85.6

(e)

If the maintenance contract costs $3,300 per year, would you recommend purchasing it? Why or why not? (Round your answers to two decimal places.)

The mean weekly usage in our sample is 25.3 hours per week. The expected expense of a machine being used 25.3 hours per week is $

34.65

hundred. Since this expected expense is than the cost of the maintenance contract, the maintenance contract

advisable.

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5. 1/1 points | Previous Answers CammBA4 7.TB.015. My Notes

What is the difference between the observed value of the dependent variable and the value predicted using the estimated regression equation?

residual variance standard error prediction interval

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6. 1/6 points | Previous Answers CammBA4 8.E.011.MI. My Notes

7. 6/9 points | Previous Answers CammBA4 10.E.001. My Notes

Cox Electric makes electronic components and has estimated the following for a new design of one of its products.

Fixed Cost = $11,000
Material Cost per Unit = $0.17
Labor Cost per Unit = $0.12
Revenue per Unit = $0.68

Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue.

(a)

Build an influence diagram that illustrates how to calculate profit.

An influence diagram with nine nodes labeled "Production Volume," "Labor Cost per Unit," "Revenue per Unit," "Profit," "Total Variable Cost," "Material Cost per Unit," "Fixed Cost," "Total Cost," and "Total Revenue," respectively is shown. The list below gives each node along with a list of the nodes to which an arrow beginning at that node points.
"Production Volume" points to "Total Variable Cost"

"Labor Cost per Unit" points to "Total Variable Cost"

"Revenue per Unit" points to "Total Variable Cost" and "Material Cost per Unit"

"Profit" points to "Material Cost per Unit"

"Total Variable Cost" points to "Total Cost"

"Material Cost per Unit", points to "Total Revenue"

"Fixed Cost" points to "Total Cost"

"Total Cost" points to "Total Revenue"

"Total Revenue" points to nothing

An influence diagram with nine nodes labeled "Material Cost per Unit," "Production Volume," "Labor Cost per Unit," "Fixed Cost," "Total Variable Cost," "Total Revenue," "Revenue per Unit," "Total Cost," and "Profit," respectively is shown. The list below gives each node along with a list of the nodes to which an arrow beginning at that node points.
"Material Cost per Unit" points to "Total Variable Cost"

"Production Volume" points to "Total Variable Cost"

"Labor Cost per Unit" points to "Total Variable Cost" and "Total Revenue"

"Fixed Cost" points to "Total Revenue"

"Total Variable Cost" points to "Total Cost"

"Total Revenue", points to "Profit"

"Revenue per Unit" points to "Total Cost"

"Total Cost" points to "Profit"

"Profit" points to nothing

An influence diagram with nine nodes labeled "Material Cost per Unit," "Labor Cost per Unit," "Production Volume," "Revenue per Unit," "Total Variable Cost," "Total Revenue," "Fixed Cost," "Total Cost," and "Profit," respectively is shown. The list below gives each node along with a list of the nodes to which an arrow beginning at that node points.
"Material Cost per Unit" points to "Total Variable Cost"

"Labor Cost per Unit" points to "Total Variable Cost"

"Production Volume" points to "Total Variable Cost" and "Total Revenue"

"Revenue per Unit" points to "Total Revenue"

"Total Variable Cost" points to "Total Cost"

"Total Revenue", points to "Profit"

"Fixed Cost" points to "Total Cost"

"Total Cost" points to "Profit"

"Profit" points to nothing

An influence diagram with nine nodes labeled "Material Cost per Unit," "Labor Cost per Unit," "Total Revenue," "Revenue per Unit," "Total Variable Cost," "Production Volume," "Total Cost," "Fixed Cost," and "Profit," respectively is shown. The list below gives each node along with a list of the nodes to which an arrow beginning at that node points.
"Material Cost per Unit" points to "Total Variable Cost"

"Labor Cost per Unit" points to "Total Variable Cost"

"Total Revenue" points to "Total Variable Cost" and "Production Volume"

"Revenue per Unit" points to "Production Volume"

"Total Variable Cost" points to "Fixed Cost"

"Production Volume", points to "Profit"

"Total Cost" points to "Fixed Cost"

"Fixed Cost" points to "Profit"

"Profit" points to nothing

(b)

Using mathematical notation similar to that used for Nowlin Plastics, give a mathematical model for calculating profit. (Write your answer in terms of the following variables q = Production Volume (quantity produced), R = Revenue Per Unit, FC = the Fixed Costs of Production, MC = Material Cost per Unit, LC = Labor Cost per Unit, and P(q) = Total Profit for producing (and selling) q units.)

P(q) =

h·LC

(c)

Implement your model from part (b) in Excel using the principles of good spreadsheet design.

	A	B
1	Cox Electric Breakeven Analysis
2
3	Parameters
4	Revenue per Unit	$0.68
5	Fixed Costs	$11,000.00
6	Materials Cost per Unit	$0.17
7	Labor Cost per Unit	$0.12
8
9
10	Model
11	Production Volume
12
13	Total Revenue
14
15	Materials Cost
16	Labor Cost
17	Fixed Cost
18	Total Cost
19
20	Profit
21

(d)

If Cox Electric makes 14,000 units of the new product, what is the resulting profit (in dollars)?

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8. 0/7 points | Previous Answers CammBA4 11.E.004. My Notes

The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows.

Procurement Cost ($)	Probability	Labor Cost ($)	Probability	Transportation Cost ($)	Probability
10	0.25	20	0.10	3	0.75
11	0.40	22	0.20	5	0.25
12	0.35	24	0.40
		25	0.30

(a)

Construct a simulation model to estimate the average profit (in $) per unit and the variance of the profit per unit. (Use at least 1,000 trials. Round your answer to two decimal places.)

average $

6.90

variance

3.79

What is a 95% confidence interval (in $) around this average? (Round your answers to two decimal places.)

6.78

to $

7.02

(b)

Management believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability that the profit per unit will be less than $5. (Use at least 1,000 trials. Round your answer to three decimal places.)

0.091

What is a 95% confidence interval around this proportion? (Round your answers to three decimal places.)

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9. 1/12 points | Previous Answers CammBA4 12.E.008. My Notes

Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following.

Battery Pack	Production Quantity
PT-100	201,000
PT-200	102,000
PT-300	148,000

Photon Technologies can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of differences in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows.

Product	Philippines	Mexico
PT-100	$0.95	$0.98
PT-200	$0.98	$1.06
PT-300	$1.34	$1.15

The PT-100 and PT-200 battery packs are produced using similar production equipment available at both plants. However, each plant has a limited capacity for the total number of PT-100 and PT-200 battery packs produced. The combined PT-100 and PT-200 production capacities are 175,000 units at the Philippines plant and 160,000 units at the Mexico plant. The PT-300 production capacities are 75,000 units at the Philippines plant and 100,000 units at the Mexico plant. The cost of shipping from the Philippines plant is $0.18 per unit, and the cost of shipping from the Mexico plant is $0.10 per unit.

(a)

Develop a linear program that Photon Technologies can use to determine how many units of each battery pack to produce at each plant to minimize the total production and shipping cost (in dollars) associated with the new contract. (Assume P₁ = number of PT-100 battery packs produced at the Philippines plant, P₂ = number of PT-200 battery packs produced at the Philippines plant, P₃ = number of PT-300 battery packs produced at the Philippines plant, M₁ = number of PT-100 battery packs produced at the Mexico plant, M₂ = number of PT-200 battery packs produced at the Mexico plant, M₃ = number of PT-300 battery packs produced at the Mexico plant.)

Min

$webMathematica generated answer key$

s.t. PT-100 Production

P1+M1≥201,000

$webMathematica generated answer key$ PT-200 Production

M2+P2=102000

$webMathematica generated answer key$ PT-300 Production

$webMathematica generated answer key$ Combined PT-100 and PT-200 Production Mexico Plant

$webMathematica generated answer key$ Combined PT-100 and PT-200 Production Philippines Plant

$webMathematica generated answer key$ PT-300 Production Mexico Plant

$webMathematica generated answer key$ PT-300 Production Philippines Plant

$webMathematica generated answer key$

M₁, M₂, M₃, P₁, P₂, P₃ ≥ 0

(b)

Solve the linear program developed in part (a) to determine the optimal production plan.

(M₁, M₂, M₃, P₁, P₂, P₃) =

$webMathematica generated answer key$

What is total cost of the production plan (in dollars). (Round your answer to the nearest dollar.)

535,410

(c)

Use sensitivity analysis to determine how much the production and/or shipping cost per unit (in dollars per unit) would have to change to produce additional units of the PT-100 in the Philippines plant.

It would have to decrease by more than $

0.05

per unit.

(d)

Use sensitivity analysis to determine how much the production and/or shipping cost per unit (in dollars per unit) would have to change to produce additional units of the PT-200 in the Mexico plant.

It would have to decrease by more than $

0.05

per unit.

Solution or Explanation

(a)

Min		1.13P1 + 1.16P2 + 1.52P3 + 1.08M1 + 1.16M2 + 1.25M3
st
		P1 + M1 = 201,000
		P2 + M2 = 102,000
		P3 + M3 = 148,000
		M1 + M2 ≤ 175,000
		P1 + P2 ≤ 160,000
		M3 ≤ 100,000
		P3 ≤ 75,000
		P1, P2, P3, M1, M2, M3 ≥ 0

(b)

Values

Spreadsheet Solution
	A	B	C	D
1		Quantity Demanded
2	PT-100	201,000
3	PT-200	102,000
4	PT-300	148,000
5
6		Capacities
7		Philipines	Mexico
8	PT-100 + PT-200	175,000	160,000
9	PT-300	75,000	100,000
10
11		Production Costs
12		Philipines	Mexico
13	PT-100	$0.95	$0.98
14	PT-200	$0.98	$1.06
15	PT-300	$1.34	$1.15
16
17		Shipping Costs
18		Philipines	Mexico
19		$0.18	$0.10
20
21		Total Costs
22		Philipines	Mexico
23	PT-100	$1.13	$1.08
24	PT-200	$1.16	$1.16
25	PT-300	$1.52	$1.25
26
27	Model
28		Quantities Produced
29		Philipines	Mexico	Total
30	PT-100	41,000	160,000	201,000
31	PT-200	102,000	0	102,000
32	PT-300	48,000	100,000	148,000
33	Total	191,000	260,000
34
35	PT-100 + PT-200	143,000	160,000
36	PT-300	48,000	100,000
37
38	Total Cost	$535,410
39

Formulas

Formulas—(See the Instructions tab for more details on using the Solver.)
	A	B	C	D
1		Quantity Demanded
2	PT-100	201,000
3	PT-200	102,000
4	PT-300	148,000
5
6		Capacities
7		Philipines	Mexico
8	PT-100 + PT-200	175,000	160,000
9	PT-300	75,000	100,000
10
11		Production Costs
12		Philipines	Mexico
13	PT-100	$0.95	$0.98
14	PT-200	$0.98	$1.06
15	PT-300	$1.34	$1.15
16
17		Shipping Costs
18		Philipines	Mexico
19		$0.18	$0.10
20
21		Total Costs
22		Philipines	Mexico
23	PT-100	=B13+$B$19	=C13+$C$19
24	PT-200	=B14+$B$19	=C14+$C$19
25	PT-300	=B15+$B$19	=C15+$C$19
26
27	Model
28		Quantities Produced
29		Philipines	Mexico	Total
30	PT-100			=SUM(B30:C30)
31	PT-200			=SUM(B31:C31)
32	PT-300			=SUM(B32:C32)
33	Total	=SUM(B30:B32)	=SUM(C30:C32)
34
35	PT-100 + PT-200	=SUM(B30:B31)	=SUM(C30:C31)
36	PT-300	=B32	=C32
37
38	Total Cost	=SUMPRODUCT(B23:C25, B30:C32)
39

Instructions

Click the Data tab in the Ribbon.
Click Solver in the Analyze group.
When the Solver Parameters dialog box appears: enter $B$38 in the Set Objective: box. Select Min for the To: option. Enter $B$30:$C$32 in the By Changing Variable Cells: box.
Click the Add button. When the Add Constraint dialog box appears, enter $D$30:$D$32 in the left-hand box under Cell Reference:, select = from the dropdown button, enter $B$2:$B$4 in the Constraint: box, and click Add.
When the Add Constraint dialog box appears, enter $B$35:$C$36 in the left-hand box under Cell Reference:, select <= from the dropdown button, enter $B$8:$C$9 in the Constraint: box, and click OK.
Select the checkbox for Make Unconstrained Variables Non-Negative.
From the drop-down menu for Select a Solving Method:, choose Simplex LP.
Click Solve.
When the Solver Results dialog box appears, select Keep Solver Solution, select Sensitivity, and click OK.

A screenshot of Excel is shown. A dialog box labeled "Solver Parameters" is shown.
The text $B$38 is in the text entry box labeled "Set Objective:."

The text $B$30:$C$32 is in the text entry box labeled "By Changing Variable Cells:."

A box labeled "Subject to the Constraints:" has buttons labeled "Add," "Change," "Delete," "Reset All," and "Load/Save" next to it. The text $D$30:$D$32 = $B$2:$B$4 is entered into the box on the first line and the text $B$35:$C$36 <= $B$8:$C$9 is entered into the box on the second line.

A group of radio buttons is labeled "To:" and has buttons labeled "Max", "Min", and "Value of:". The radio button labeled "Min" is selected.

A checkbox labeled "Make Unconstrained Variables Non-Negative" is selected.

A dropdown list labeled "Select a Solving Method:" has the option Simplex LP selected and a button labeled "Options" next to it.

A button labeled "Solve" near the bottom of the dialog box is highlighted.

(c)

Using the sensitivity analysis we find the range of optimality for the objective function coefficient for P₁ is a lower limit of $1.13 − $.05 = $1.08. Thus, the production and/or shipping cost would have to decrease by more than 5 cents per unit.

(d)

Using the sensitivity analysis we find the range of optimality for the objective function coefficient for M₂ is a lower limit of $1.16 − $.05 = $1.11. Thus, the production and/or shipping cost could have to decrease by more than 5 cents per unit.

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10. –/12 points CammBA4 15.E.012. My Notes

Home My Assignments Extension Request

1	2	3	4	5	6
1/1	1/1	1/1	0/1	1/1	1/1
1/100	1/100	3/100	3/100	2/100	1/100

1	2
0/1	0/1
4/100	3/100

1	2	3	4	5	6	7	8	9
–/1	–/1	–/1	–/1	–/1	–/1	0/1	1/1	0/1
0/100	0/100	0/100	0/100	0/100	0/100	1/100	1/100	1/100

1	2	3	4	5	6
0/1	1/1	–/1	–/1	0/1	–/1
2/100	2/100	0/100	0/100	1/100	0/100

1	2	3	4	5	6	7	8	9
0/1	0/1	1/1	1/1	1/1	1/1	1/1	1/1	0/1
2/100	1/100	1/100	1/100	1/100	1/100	1/100	1/100	1/100