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The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is...

The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function.

C(x) = 2000 + 2x − 0.0001x2    (0 ≤ x ≤ 6000)

a. What is the actual cost incurred in producing the 991st and the 1971st disc?

b. What is the marginal cost when x = 990 and 1970?

Williams Commuter Air Service realizes a monthly revenue represented by the following function, where R(x) is measured in dollars and the price charged per passenger is x dollars.

R(x) = 9,600x − 120x2

a. Find the marginal revenue R'(x).

b. Compute the following values.

-R'(39)

-R'(40)

-R'(41)

c. Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue?

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Expert Solution

milcah answered 2 years ago
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