A company makes two products (1 and 2). Each product requires time on two machines A and B. The specifications for each product are as follows;
Product 1 Product 2
Processing time on machine A (hrs/unit) 2 2
Processing time on machine B (hrs/unit) 1 2
Material and labor cost (Kshs/unit) 14 15
Selling price (Ksh/unit) 16 18
Maximum possible sale (units) 130 150
The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total contribution for the company.