Department A has 120 hours of capacity, department B has 160 hours of capacity, and 90 meters of material are available. Each shirt contributes $10 to profits; each pair of shorts, $10; and each pair of pants, $23.(Let L = #shirts manufactured, let H = #shorts manufactured, Let P = # pants manufactured) Formulate the problem algebraically as a linear programming model. (5 marks) Solve this problem using Excel. (5 marks)