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