Chapter 6.4, Problem 75E

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

75.    Cost. A company manufactures downhill skis. It has fixed costs of $25,000 and a marginal cost given by

     $C\text{'}\text{(}x\text{)}=\frac{250+10x}{1+0.05x}$

where C(x) is the total cost at an output of x pairs of skis. Find the cost function C(x) and determine the production level (to the nearest unit) that produces a cost of $150,000. What is the cost (to the nearest dollar) for a production level of 850 pairs of skis?