Chapter 6.4, Problem 76E

Use Table 1 to evaluate all integrals involved in any solutions of Problems 71−94.

76. Cost. A company manufactures a portable DVD player. It has fixed costs of $ 11,000 per week and a marginal cost given by

     $C^{\prime }\left(x\right)=\frac{65+20x}{1+0.4x}$

where C(x) is the total cost per week at an output of x players per week. Find the cost function C(x) and determine the production level (to the nearest unit) that produces a cost of $52,000 per week. What is the cost (to the nearest dollar) for a production level of 700 players per week?