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Question : If the average cost per unit overbar(C)(x) to produce x units of plywood is given : 2151521

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the asymptotes of the function.

1) y = (5/x - 3)

A) Vertical asymptote at x = 3; horizontal asymptote at y = 0

B) Vertical asymptote at x = 3; horizontal asymptote at y = 5

C) Vertical asymptote at x = -3; horizontal asymptote at y = 0

D) Vertical asymptote at x = -3; no horizontal asymptote

2) y = (-8/x - 3)

A) Vertical asymptote at x = 3; horizontal asymptote at y = 0

B) Vertical asymptote at x = -3; horizontal asymptote at y = -8

C) Vertical asymptote at x = 3; horizontal asymptote at y = -8

D) Vertical asymptote at x = -3; horizontal asymptote at y = 0

3) y = (4/7 - 9x)

A) Vertical asymptote at x = 0; horizontal asymptote at y = (7/9)

B) Vertical asymptote at x = (7/9) horizontal asymptote at y = 0

C) Vertical asymptote at x = (7/9); horizontal asymptote at y = 4

D) Vertical asymptote at x = 4; horizontal asymptote at y = (7/9)

4) y = (5x/x + 9)

A) Vertical asymptote at x = -9; horizontal asymptote at y = 5

B) Vertical asymptote at x = -9; no horizontal asymptote

C) Vertical asymptote at x = 9; horizontal asymptote at y = 5

D) Vertical asymptote at x = 5; horizontal asymptote at y = -9

5) y = (x + 6/x - 10)

A) Vertical asymptote at x = 10; horizontal asymptote at y = x

B) Vertical asymptote at x = -10; horizontal asymptote at y = 1

C) Vertical asymptote at x = -10; horizontal asymptote at y = 0

D) Vertical asymptote at x = 10; horizontal asymptote at y = 1

6) y = (5x + 5/x + 1)

A) Vertical asymptote at x = 1; horizontal asymptote at y = 5

B) Vertical asymptote at x = -1; horizontal asymptote at y = 5

C) Vertical asymptote at x = -1; horizontal asymptote at y = - 1

D) Vertical asymptote at x = 5; horizontal asymptote y = -1

7) y = (-5x + 5/2 - 2x)

A) Vertical asymptote at x = 1; horizontal asymptote at y = 5

B) Vertical asymptote at x = - (5/2); horizontal asymptote at y = 1

C) Vertical asymptote at x = 1; horizontal asymptote at y = (5/2)

D) Vertical asymptote at x = 1; horizontal asymptote at y = - (5/2)

8) y = (x^{2} - 1/x - 1)

A) Vertical asymptote at x = -1; no horizontal asymptote

B) Vertical asymptote at x = 1; no horizontal asymptote

C) No vertical asymptote; horizontal asymptote at y = 1

D) No asymptotes; hole at x = 1

Graph the rational function.

9) y = (1/x + 4)

A)

B)

C)

D)

10) y = (-1/x + 3)

A)

B)

C)

D)

11) y = (2/3 - 2x)

A)

B)

C)

D)

12) y = (2x/x + 4)

A)

B)

C)

D)

13) y = (x + 1/x + 2)

A)

B)

C)

D)

14) y = (-3 - 4x/4x + 5)

A)

B)

C)

D)

15) f(x) = (x^{2} - 9/x - 3)

A)

B)

C)

D)

16) y = (x^{2} + 7x + 6/x + 1)

A)

B)

C)

D)

Solve the problem.

17) If the average cost per unit overbar(C)(x) to produce x units of plywood is given by overbar(C)(x) = (1200/x + 40), what is the unit cost for 10 units?

A) $120.00

B) $3.00

C) $24.00

D) $80.00

18) If the average cost per unit overbar(C)(x) to produce x units of plywood is given by overbar(C)(x) = (300/x + 10), what do 400 units cost?

A) $299.98

B) $12,000.00

C) $292.68

D) $60.00

19) Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by y = (162,500/x + 325). What is the cost for x = 400?

A) $81.25

B) $200,000.00

C) $224.14

D) $89,655.17

20) Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by y = (62,500/x + 125). What is the cost per ton for x = 30?

A) $16.67

B) $403.23

C) $2083.33

D) $1958.33

21) Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by y = (212,500/x + 425). What is the cost per ton for x = 400?

A) $106.25

B) $200,000.00

C) $103,030.30

D) $257.58

22) Suppose a cost-benefit model is given by y = (1.8x/100 - x), where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 35% to the nearest dollar.

A) $1800

B) $630

C) $538

D) $969

23) A function that might describe the entire Laffer curve is y = 0.5x(100 - x)(10000 - x^{2}) where y is the government revenue in hundreds of thousands of dollars from a tax of x percent, with the function valid for 0 ≤ x ≤ 100. Find the revenue from a tax rate of 60%. Round your answer to the nearest billion.

A) $793 billion

B) $768 billion

C) $738 billion

D) $668 billion

24) The polynomial function I(t) = -0.1t^{2} + 1.4t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

A) 9.33

B) 14

C) 6

D) 7

25) In the following formula, y is the minimum number of hours of studying required to attain a test score of x: y = (0.32x /100.5 - x) . How many hours of study are needed to score 83?

A) 4.50 hr

B) 101.11 hr

C) 15.20 hr

D) 1.52 hr

26) The polynomial function A(x) = -0.015x^{3} + 1.05x gives the alcohol level in an average person's blood x hours after drinking 8 oz of 100-proof whiskey. If the level exceeds 1.5, a person is legally drunk. Would a person be drunk after 4 hours?

A) Yes

B) No

27) The polynomial function L(p) = p^{3} - 5p^{2} + 20 gives the rate of gas leakage from a tank as pressure increases in p units from its initial setting. Will an increase of 2 units result in a lower rate of leakage compared to the initial setting of p = 0?

A) Yes

B) No

28) The polynomial function G(x) = -0.006x^{4} + 0.140x^{3} - 0.53x^{2} + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 11 and 12 seconds?

A) Yes

B) No