A manufacturing company sells high quality jackets through a chain of specialty shops. the demand equation for this jackets is
p = 400 – 50q
where p is the selling price ( in dollars per jacket) and q is the demand ( in
thousands of jackets). If this company's marginal cost function is given by
dc/dq =800/q + 5
show that there is a maximum profit, and determine the number of jackets that
must be sold to obtain the maximum profit.