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?
