A company manufactures three products whose unit profits are $2, $5, and $3, respectively.

A company manufactures three products whose unit profits are $2, $5, and $3, respectively. The company has budgeted 80 hours of labor time and 65hrs of machine time for the production of the 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. The company 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.

a) Please formulate this problem as a LP to determine a production to maximize profit. o MUST define the decision variables first! Then, identify the objective function and constraints.

b) Solve the problem using LINDO or Solver and attach the output.