Maylor Company makes two radio models, Y and Z. They are both manufactured totally in two departments: A, which has a total capacity of 240 labour-hours per week; and B, which has a capacity of 480 labour-hours per week. The labour requirements (hours per unit) for each model are:

Model Y Model Z

Department A 1.0 0.8

Department B 0.5 2.0

The unit contribution of Model Y is $4 and for Model Z is $5. The total production of Y can be sold, but only a weekly maximum of 200 units of Model Z can be sold.

Required: Using linear programming, construct the basic equations and solve graphically the number of each radio that should be manufactured.