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Tomastik & Epstein-Applied Finite Math: Brief 2/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 44

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

Last Saved : n/a Saving...  ()

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–/1 –/4 –/8 –/4 –/20 2/2 –/2 –/1 1/1 –/1
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3/44 (6.8%)

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    Here are some textbook questions from Applied Finite Mathematics: Brief 2/e by Edmond C. Tomastik and Janice L. Epstein published by Brooks/Cole Publishing. Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice.

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1. –/1 points TEAFM2 1.1.032. My Notes
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Assume that the linear cost and revenue models apply. An item costs $10 to make. If fixed costs are $3500 and profits are $1200 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.)
R(x) =
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2. –/4 points TEAFM2 1.5.002. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
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–/4
 
Find the best-fitting straight line to the given set of data, using the method of least squares. Find the correlation coefficient r. (Round your answers to four decimal places.)
(-1, 1), (1, 1), (3, 2)
y =  x +
r = 


Graph the data on a scatter diagram and then graph this straight line.
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3. –/8 points TEAFM2 2.1.042. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
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–/8
 
Matrix L is a 1 ⨯ 5 matrix, matrix M is a 5 ⨯ 5 matrix, matrix N is a 1 ⨯ 1 matrix, and matrix P is a 5 ⨯ 1 matrix. Find the dimensions of the sums below, if they exist. (If an answer does not exist, enter DNE.)
(a) L + M
⨯

(b) L + PT
⨯

(c) M + N
⨯

(d) N + N
⨯
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4. –/4 points TEAFM2 2.3.012. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
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–/4
 
Find the inverse of the matrix A, if it exists. (If an answer does not exist, enter DNE.)
A = matrix(2,2,[1,6,1,7]
A−1 =
 
 
 
 
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5. –/20 points TEAFM2 2.4.020. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
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–/20
 
An economy has four sectors: energy (E), textiles (TX), transportation (TR), and chemicals (C). Energy requires 0.10 unit of itself, 0.65 unit of transportation, and 0.10 unit of chemicals. Textiles requires 0.30 unit of energy, 0.15 unit of itself, 0.20 unit of transportation, and 0.20 unit of chemicals. Transportation requires 0.40 unit of energy, 0.10 unit of itself, and 0.25 unit of chemicals. Chemicals requires 0.10 unit of energy, 0.15 unit of textiles, 0.05 unit of transportation, and 0.35 unit of itself.
(a) Determine the input-output matrix A.
 
A =
 
 
E
TX
TR
C
 
 
E  TX  TR  C
        
        
        
        
 


(b) Suppose the external demand for energy is 75000 units, for textiles is 70000 units, for transportation is 10000 units, and for chemicals is 75000 units. Find the production matrix. (Round your answers to the nearest integer.)
 
 
 
 
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6. 2/2 points  |  Previous Answers TEAFM2 4.1.024. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/50 2/50
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2/2
 
Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
U = {1,2,3,4,5,6,7,8,9,10}
A = {1,2,3,4,5}
B = {4,5,6,7,8}
(a) AC = { Correct: Your answer is correct. }

(b) AC ∩ B = { Correct: Your answer is correct. }
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7. –/2 points TEAFM2 4.7.002. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
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–/2
 
Find P(F | B) and P(E | A) using the tree diagram. (Round your answers to three decimal places.)
P(F | B)  
P(E | A)  
Maple Generated Plot
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8. –/1 points TEAFM2 5.1.002. My Notes
Question Part
Points
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1
–/1
0/50
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–/1
 
Evaluate the given expression.
P(8, 5)
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9. 1/1 points  |  Previous Answers TEAFM2 5.2.036. My Notes
Question Part
Points
Submissions Used
1
1/1
1/50
Total
1/1
 
A coin is flipped six times in succession. In how many ways can at least four heads occur?
Correct: Your answer is correct. ways
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10. –/1 points TEAFM2 5.4.038. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
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–/1
 
A company finds that one out of three workers it hires turns out to be unsatisfactory. Assume that the satisfactory performance of any hired worker is independent of that of any other hired workers. If the company hires 17 people, what is the probability that the following number of people will turn out to be satisfactory? (Round your answer to six decimal places.)
at most 5
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