Native Customs sells two popular styles of hand-sewn footwear: a sandal and a moccasin. The cost to make a pair of sandals is $18, and the cost to make a pair of moccasins is $24. The demand for these two items is sensitive to the price, and historical data indicate that the monthly demands are given by S=40010P1 and M=45015P2. where S= demand for sandals (in pairs), M= demand for moccasins (in pairs), P1= price for a pair of sandals, and p2= price for a pair of moccasins. To remain competitive, Native Customs must limit the price (per pair) to no. more than $60 and $75 for its sandals and moccasins, respectively Formulate this nonlinear programming problem to find the optimal production quantities and prices for sandals and moccasins that maximize total monthly profit