In the single-period model in Section 16.2.1, suppose that the model maximizes profit and that a setup cost K is incurred. Given that r is the unit selling price and using the information in Section 16.2.1, develop an expression for the expected profit, and determine the optimal order quantity. Solve the problem numerically for r = $3, c = $2, p = $4, h = $1, and K = $10. The demand pdf is uniform between 0 and 10.