Formulate the Following as a Linear Program

Essay

Formulate the following as a linear program.
Dane's aircraft muffler manufacturers have 1000 linear feet of steel on hand to manufacture the three top selling muffler sets. Super mufflers (S) provide $35 profit and common (C) mufflers' profit margin is $31, while the deluxe (D) muffler set provides a $40 profit margin. It takes 31 hours to make the super muffler, 29 hours to manufacture the common muffler, and 40 hours to build the deluxe muffler. If Dane is limited to 200 hours a month what is the optimum combination of mufflers to manufacture to maximize his profits?