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1. Suppose that the weekly profit, in dollars, of producing and selling x cars i

ID: 2831858 • Letter: 1

Question

1.

Suppose that the weekly profit, in dollars, of producing and selling x cars is

P(x) = 0.006x3 - 0.3x2 + 960x - 900

and currently 60 cars are produced and sold weekly.

Use P( 60) and the marginal profit when to estimate the weekly profit of producing and selling 61 cars.

Round to the nearest dollar.

A) $56,083
B) $55,269
C) $55,182
D) $57,905

2.

Suppose that the daily cost, in dollars, of producing x televisions is

C(x) = 0.003x3 + 0.1x2 + 62x + 620

and currently 60 televisions are produced daily.

Use C(60) and the marginal cost to estimate the daily cost of increasing production to 63 televisions daily.

Round to the nearest dollar.

A) $5667
B) $5635
C) $5481
D) $5673

Explanation / Answer

1- P(6) = $ 56916

so, Ans - D

2 - C(60) = 5348

so, ans = A