A plastic part supplier produces two types of plastic parts used for electronics. Type 1 requires 30 minutes of labor and 45 minutes of machine time. Type 2 requires 60 minutes of machine hours and 75 minutes of labor. There are 600 hours available per week of labor and 800 machine hours available. The demand for custom molds and plastic parts are identical. Type 1 has a profit margin of $25 a unit and Type 2 has a profit margin of $45 a unit. The plastic parts supplier must choose the quantity of Product A and Product B to produce which maximizes profits.
(a) Formulate this as a linear programming problem.
(b) Find the solution that gives the maximum profit using QM for Windows or Excel.