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

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Basic Math

The total weekly cost (in dollars) incurred by Lincoln Recordsin pressing x compact discs is given by the followingfunction.

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

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

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

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