141-meyer-07spex02

141-meyer-07spex02 - Senna Math 141 Exam 2 Version ' wa:...

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Unformatted text preview: Senna Math 141 Exam 2 Version ' wa: dflUAkK ] $1 1. Graph the constraint inequalities for a linear programming problem shown below. Which feasible region shown is correct? 2 x + By S 12 x 2 0, y 2 0 g a. h. (0’6? (0,4) 116,0} (0,03 (0,0; 4,0; c. . d. am am 1 m3 “em 1 (0,0) (0,0) \ 2. Write the constraint inequalities for this situation: A cheeseburger requires 5 oz. of meat and 0.7 oz. of cheese while a superburger requires 7 oz. of meat and 0.6 oz. of 'cheese. The burger stand has 350 oz. of meat and 42 oz. of cheese available. The profit on a cheeseburger is 10 cents and the profit on a superburger is 40 cents. A) 5x+ 7y.<_ 350,0.7x+0.6y$42,x20.y20 B) 5x+0.7ys 10, 7x+0.6ys40,x20,y20 C) 5x+7ys10,0.7x+0.6ys40,x20,y20 D) 70x+50ys350,60x+70ys42,x20,y20 3. Suppose the feasible region has four corners, at these points: {0, 0), (5, 0}, (0, 4), and (2: 3). If the profit formula is $2): + $35!. what is the maximum profit possible? A) $12 B) $13 C) $14 D) $15 t 4. Find an initial solution using the Northwest Corner Rule and compute its cost. Shopl Shop 2 Shop 3 a . N p) Bakery 1 3 1 s V 3 Bakery 2 l O 5 4 7 2 4 . 4 rim conditions 5. Find a legal cycle involving field (BakeryZ, Sh0pl) Shop 1 Shop 2 Shop Bakery1 3 \ 1 C9 C23 Bakery2 0 1 5 N. 4 2' 2 4 4 4 [\J rim conditions 6. Given the assignment below, compute the indicator value for the field (BakeryZ, Shopl) ‘ Shop I Shop 2 Shop " 1 Bakery] 3 ‘ 2 Bakery2 O 1 5 4 3 4 2 4 g rim conditions Q N U) N.) A) -6 B) 4 C) -4 D) 3 7. Transport as many units of bread through (BakeryZ, Shopl) as possible and compute the improvement in the total transportation cost. ' Shop 1 Shop 2 V Shop 3 Bakeryl 3 l - 2 3 Bakery2 O 1 5 . ' 4 Q <2» 3 5 4 l rim conditions Make changes to the relevant fields. 8. You make a bank deposit of $2000 at an APR of 5.6% compounded monthly. Determine the accumulated balance after 4 years. A) 2467.06 B) 2500.84 C) 2448.00 D) other 9, What is the APY for 9.6% compounded daily? A) 9.6% B) 10.1% C) 12.2% D) 13.0% 10. Tara has $85 deducted from her paycheck at the end of each month and put into a savings account earning 9% interest compounded monthly. She continues these deposits for ten years. How much is the account worth at the end of the ten years? A) $208 B) $2496 C) $16,450 D) $21,150 ll. Three years after buying 200 shares of XYZ stack for $25 per share , you sell the stock for $8500. Compute the total and annual returns. A) total return: 3500, annual return: H6667 B) total return: 70% , annual return: 19.3% C) total return: 59%, annual return: l9.6% D) other U.) U an (IO «1 12. 13. 14. 15. 16. A $1,000 Treasury bond with a coupon rate of 5.5% has a market value of $1100. Calculate the current yield of the. bond. A) 55 B) 60.5 C) 5% D) other Betty bought a house in 1987 for $99,000 and sold it in 2001. If the 1987 CPI is 113.6 and the 2001 CPI is 177.1, how much would the house be worth in 2001 dollars? A) $165,157 B) $154,339 C) $134,921 D) $102,356 Suppose a student loan has an interest rate of 7% compounded monthly with monthly payments and the borrower has ten years to repay. If $12,000 is borrowed, what are the monthly payments? A) $95.46 B) $139.33 C) $169.53 D) $290.15 For a 30 year mortgage, the interest portion of the monthly payment is highest in: A) Year 1 B) Year 30 C) same for all months Robert's taxable income is $58,850. He files as a head of household. What is his income tax? A) $15,889.5 B) $5,778 C) $10,895.5 D) other Page 4 l7. . l8. 19. Below are the numbers of accidents occurring at a certain corner on 15 consecutive days. Find the five-number summary of the data. 5,2,2,6,7,2,0,1,3,6,3 5 7 Given the set of data below, find the standard deviation. 25, '16, 50, 19, 42, 37 A) 6.07 B) 13.58 C) 184.3 D) 921.5 The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What range of years contains 68% of all battery shelf lives? A) 2 to 5 years B) 2.5 to 4.5 years C) 2.83 to 4.17 years D) 2.75 to 4.25 The scores of students on a standardized test form a normal distribution with a mean of 3:00 and a standard deviation of 40. What are the lower- and upper-quartile scores for this test? A) 280 and 320 B) 273 and 327 C) 260 and 340 D) 150 and 450 ...
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This note was uploaded on 08/08/2008 for the course MATH 141 taught by Professor Meyer during the Fall '07 term at Wisconsin.

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141-meyer-07spex02 - Senna Math 141 Exam 2 Version ' wa:...

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