12 Productco produces three products. Each product requires labor, lumber, and paint. The resource requirements, unit price, and variable cost (exclusive of raw materials) for each product are given in Table 70. Currently, 900 labor hours, 1,550 gallons of paint, and 1,600 board feet of lumber are available. Additional labor can be purchased at $6 per hour, additional paint at $2 per gallon, and additional lumber at $3 per board foot. For the following two sets of priorities, use preemptive goal programming to determine an optimal production schedule. For set 1:

Priority 1 Obtain profit of at least $10,500.

Priority 2 Purchase no additional labor.

Priority 3 Purchase no additional paint.

Priority 4 Purchase no additional lumber.

For set 2:

Priority 1 Purchase no additional labor.

Priority 2 Obtain profit of at least $10,500.

Priority 3 Purchase no additional paint.

Priority 4 Purchase no additional lumber.