Jo Shop manufactures three products whose unit profits are $2, $5, and $3, respectively.

The company has budgeted 80 hours of labor time and 65 hours of machine time for the production of three products. The labor requirements per unit of products 1,2, and 3 are 2, 1, and 2 hours, respectively. The corresponding machine-time requirements per unit are 1,1, and 2 hours. Jo Shop regards the budgeted labor and machine hours as goals that may be exceeded, if necessary, but at the additional cost of $15 per labor hour and $10 per machine hour. Formulate the problem as an Lp, and determine its optimum solution using TORA, Solver, or AMPL.