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