# p2S08 - Math 141 Practice 2 1. Find the point of...

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Unformatted text preview: Math 141 Practice 2 1. Find the point of intersection of the lines whose equations are 4x + 2y = 12 and 3x + 9y =39. A) (5,-4) B) (10, 1) C) (1,4) D) (2,2) 2. Graph the constraint inequalities for a linear programming problem shown below. Which feasible region shown is correct? 2 x + 3y::5 12 x~ O,y~ 0 8. ",4) ~ .,0) b. ",0) Co ,,~ d. 12,D) ,.~ ,,')1 ;~ C3,D) 3. Write the constraint inequalities for this situation: Kim and Lynn produce pottery vases and bowls. A vase requires 35 oz. of clay and 5 oz. of glaze. A bowl requires 20 oz. of clay and 10 oz. of glaze. There are 500 oz. of clay available and 200 oz. of glaze available. The profit on one vase is \$5 and the profit on one bowl is \$4. A) 35x + 5y::5 5, 20 x + 10y::5 4, x ~ O,y ~ 0 B) 35x + 5y::5 500, 20 x + lOy::5 200, x ~ O,y ~ 0 C) 35x + 20y ::5 500, 5 x + lOy::5 200, x ~ 0, y ~ 0 D) 35x + 20y ::5 \$5, 5 x + lOy::5 \$4, x ~ 0, y ~ 0 Page I 4. The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = 2x + y. (2,4) (D,D) A) B) C) D) (0,2) (2,4) (4, 1) (3,0) 5. Find an initial solution using the Northwest Comer Rule and compute its total transportation cost. Shop1 Shop 2 Shop 3 2 Bakery 1 1 3 5 4 1 Bakery 2 5 6 rim conditions 3 3 5 6. Suppose you invest in an account that pays 6% interest, compounded quarterly. You would like your investment to grow to \$8000 in 14 years. How much would you have to invest in order for this to happen? A) \$2125 B) \$2290 C) \$2650 D) \$3475 7. What is the APY for 6% compounded weekly? A) 6.00% B) 6.09% C) 6.18% D) 7.25% Page 2 8. A man cuts back on his latte habit and instead makes \$20 deposits each month into a savings account earning 6% interest compounded monthly. He continues these deposits for eight years. How much will the account be worth after eight years? A) \$1920 B) \$2457 C) \$2941 D) \$3250 9. A car was purchased in 1985 for \$15,000. Its value in current dollars depreciates steadily at a rate of 13% per year. What will the car's value be at the beginning of 2003? A) \$1187.25 B) \$1223.03 C) \$1314.58 D) \$1551.05 10. John bought a house in 1947 for \$19,000 and sold it in 1997. If the 1947 CPI is 22.3 and the 1997 CPI is 160.5, how much would the house be worth in 1997 dollars? A) \$115,157 B) \$101,086 C) \$94,921 D) \$25,356 11. Five years after paying \$8000 for some shares of a risky stock, you sell the shares for \$4500 (at a loss). Compute the annual returrn to the nearest percent. A) -9% B) -11% C) -14% D) -18% 12. A GreatCity municipal bond with face value \$100 currently trades at 107.5 points and yields 6.8%. What is the coupon rate? A) 6.8% B) 7.31% C) 7.5% D) 5.1% Page 3 13. Ellie takes out a conventional loan to purchase a car. The interest rate is 7.5% compounded monthly and Ellie has four years to repay the \$12,000 she borrowed. What are Ellie's monthly payments? A) \$95.46 B) \$139.33 C) \$169.53 D) \$290.15 14. Suppose you are married filing separately with two dependent children, and you had a taxable income of \$38,600 in 2006. Assuming you are not entitled to a tax credit for either child, how much income tax did you pay? A) \$9,650 B) \$15,002.5 C) \$6,207.5 D) other amount 15. Pat invested in her employer's stock program in 1981. The annual yiel...