A company makes 5 different products that each need processing on three types of machines. Labor cost is $0.6 hour on machine types 1, 2 and S0.4/hour on machine type 3. Other data is given below. Formulate the problem of maximizing the net profit of this company as a linear program. product Machine time 1 2 3 4 5 available/week Machine type 1 12 7 8 10 7 149 hours Machine type 2 9 7 5 0 14 129 hours Machine type 3 7 8 5 4 3 1.118 hours Price/unit $17 15 16 13 14 Raw material cost/unit $3 2 0.9 1.2 1

1. A company makes 5 different products that each need processing on three types of machines. Labor cost is $0.6 hour on machine types 1,2 and $0.4 /hour on machine type 3. Other data is given below. Formulate the problem of maximizing the net profit of this company as a linear program