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Unformatted text preview: Math 141 Exam 2
Version 1 Name: Lecture (circle one):
1:20pm 2:25pm 1. Write the resource constraints for this situation: A small stereo manufacturer makes a
receiver and a CD player. Each receiver takes 8 hours to assemble and 1 hour to test and
ship. Each CD player takes 15 hours to assemble and 2 hours to test and ship. The
proﬁt on each receiver is $30 and the proﬁt on each CD player is $50. There are 160
hours available in the assembly department and 22 hours available in the testing and
shipping department. A) 8x+lyS30,15x+2y$50,x20,y20
B) 8x+1y$160,15x+2y322,x20,y20
C) 8x+15y$30, lx+2y$50,x20,y20
D) 8x+15y$160,1x+2y$22,x20,y20 2. Graph the constraint inequalities for a linear programming problem shown below.
Which feasible region shown is correct? lx+4y$8 a. b.
,1
1 (4,0)
(0,0)
c. (1
£0.81
(0.4
(1,0) (2,0)
«1,01 , (0.0) Page 1 3. The graph of the feasible region for a mixture problem is shown below. Find the point
that maximizes the proﬁt function P = x + 4y. A) (0,9)
B) (6, 7)
C) (7, 3)
D) (6, 0) 4. The simplex algorithm always gives optimal solutions to linear programming problems.
A) True
B) False 5. Find an initial solution using the Northwest Corner Rule and compute its total
transportation cost. Shopl Shop 2 Shop 3
Bakery 1 3 1 2
5
Bakery 2 1 5 4
6
3 5 3 rim conditions 6. An optimal solution for a linear programming problem will always occur at a corner
point of the feasible region.
A) True
B) False Page 2 10. 11. What is the APY for 9.6% compounded daily?
A) 9.6% B) 1 0. l % C) 12.2% D) 13.0% . Merrie borrowed $1000 from her parents, agreeing to pay them back when she graduated from college in ﬁve years. If she paid interest compounded quarterly at 5%,
how much would she owe at the end of the ﬁve years? A) $1050 B) $1282 C) $1503 D) $ 158 1 Five years after buying 300 shares of ABC stock for $25 per share, you sell all for a total
of $9500. What are the total and annual returns? A) total return = 26.7%, annual return = 5.3% B) total return = 126.7%, annual return = 25.3% C) total return = 26.7%, annual return = 4.84% D) total return = 126.7%, annual return = 104.84% Juanita has $100 deducted from her paycheck at the end of each month and put into a savings account earning 11% interest compounded monthly. She continues these deposits for ﬁve years. How much is the account worth at the end of the five years?
A) $7952 B) $9827 C) $ 1 0,450 D) $1 1,150 A $100 Treasury bond with a coupon rate of 5.5% has a market value of $97. Calculate
the current yield of the bond. A) $5.50 B) 5.67% C) $105.50 D) 8.5% Page 3 12. 13. 14; 15. 16. Javier bought a house in 1974 for $49,000 and sold it in 1997. If the 1974 CPI is 49.3
and the 19972CPI is 160.5, how much would the house be worth in 1997 dollars? A) $159,523 B) $123,086 C) $95,157 D) $65,456 The average annual inﬂation rate over the next 5 years is projected to be about 3.4%.
What is the present value of $1 in 2012? A) 84 cents B) 85 cents C) 86 cents D) 87 cents Karana takes out a conventional loan to purchase a car. The interest rate is 6.4%
compounded monthly and Karana has ten years to repay the $27,000 she borrowed.
What are Karana's monthly payments? A) $3 85.07 B) $305.21 C) $186.49 D) $1 71 .48 For a 30 year mortgage, the interest portion of the monthly payment is lowest in:
A) year 1 ' B) the interest portion is the same for each month C) year 30  D) this depends on the interest rate Suppose you are single, and you had a taxable income from wages of $42,600 in 2006.
How much income tax did you pay? ' A) $10750 B) $16002.50 C) $2875.50 D) $7207.50 Page 4 17. Below are the lengths (in minutes) of phone calls made on an 800 line to a business on 18. 19. 20. one day. Find the ﬁvenumber summary for this data. 14, 6,12,19, 2, 35, 5, 4, 3, 7, 5, 8 A) 5, 8, 14, 15.5, 20
B) 2,4, 7, 14, 35
C) 2,4,6,12,19
D) 2,4.5,6.5, 13,35 The length of students' college careers at Anytown University is known to be normally
distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years.
What is the lower quartile for the length of students' careers at Anytown University?
A) 4.83 years B) 3.75 years C) 4.33 years D) 2.75 years The annual income of residents in a county is $42,000 with a standard deviation of
$10,000. Between what two values do 95% of the incomes of county residents lie?
A) $40,000 and $44,000
B) $22,000 and $62,000
C) $32,000 and $52,000
D) $30,000 and $50,000 Given the set of data below, ﬁnd the variance. 2, 4, 4, 5, 6, 9
A) 2.366
B) 4.5
C) 5.6
D) 7 Page 5 ...
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 Fall '07
 Meyer
 Linear Programming, Optimization, linear programming problem, Simplex algorithm, feasible region

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