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

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 0/44

Due: Tuesday, December 7, 2010 22:00 EST

About this Assignment

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Question
Points
1 2 3 4 5 6 7 8 9 10
0/1 0/4 0/8 0/4 0/20 0/2 0/2 0/1 0/1 0/1
Total
0/44

Description

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.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. –/1 points Notes Question: TEAFM2 1.1.032.
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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) =

2. –/4 points Notes Question: TEAFM2 1.5.002.
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Find the best-fitting straight line to the given set of data, using the method of least squares. Find the correlation coefficient. (Round your answers to four decimal places.)
(-1, 1), (1, 1), (3, 2)
y =
Enter a number.
x +
Enter a number.
r =
Enter a number.


Graph the data on a scatter diagram and then graph this straight line.

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3. –/8 points Notes Question: TEAFM2 2.1.042.
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Matrix L is a 1 cross 5 matrix, matrix M is a 5 cross 5 matrix, matrix N is a 1 cross 1 matrix, and matrix P is a 5 cross 1 matrix. Find the dimensions of the sums below, if they exist. (If an answer does not exist, enter DNE.)
(a) L + M
Enter a number.
 cross
Enter a number.

(b) L + PT
Enter an exact number.
 cross
Enter an exact number.

(c) M + N
Enter a number.
 cross
Enter a number.

(d) N + N
Enter an exact number.
 cross
Enter an exact number.


4. –/4 points Notes Question: TEAFM2 2.3.012.
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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 =
 
 
Enter an exact number.
Enter an exact number.
Enter an exact number.
Enter an exact number.
 
 


5. –/20 points Notes Question: TEAFM2 2.4.020.
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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
Enter a number.
 		 
Enter a number.
 		 
Enter a number.
 		 
Enter a number.
Enter a number.
 		 
Enter a number.
 		 
Enter a number.
 		 
Enter a number.
Enter a number.
 		 
Enter a number.
 		 
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(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 how much energy, textiles, transportation and chemicals need to be produced to meet internal and external demands. (Round your answers to the nearest integer.)
energy  
Enter a number.
 units
textiles  
Enter a number.
 units
transportation  
Enter a number.
 units
chemicals  
Enter a number.
 units


6. –/2 points Notes Question: TEAFM2 4.1.024.
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Find the indicated sets with A, B, and Universal Set defined below. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
Universal Set = {1,2,3,4,5,6,7,8,9,10}
A = {1,2,3,4,5}
B = {4,5,6,7,8}
(a) AC = {
Enter a mathematical expression or equation with exact values.
}

(b) AC intersect B = {
Enter a mathematical expression or equation with exact values.
}


7. –/2 points Notes Question: TEAFM2 4.7.002.
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Find P(F | B) and P(E | A) using the tree diagram. (Round your answers to three decimal places.)
P(F | B)  
Enter a number.
P(E | A)  
Enter a number.
Maple Generated Plot


8. –/1 points Notes Question: TEAFM2 5.1.002.
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Evaluate the given expression.
P(8, 5)
Enter an exact number.

9. –/1 points Notes Question: TEAFM2 5.2.036.
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A coin is flipped six times in succession. In how many ways can at least four heads occur?
Enter an exact number.

10. –/1 points Notes Question: TEAFM2 5.4.038.
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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
Enter a number.
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