June The CarParts Company manufactures and assembles automobile doors and trunk lids. The plant produces semi-finished products that are then sanded and painted in the company's finishing facility. The finishing facility employs a total of 90 workers in two 8- hour shifts a day, 21 working days a month. The size of the labor force in the finishing facility fluctuates because of the annual leave taken by the employees. May July Plant Capacity-doors (# units) 4200 6000 Plant Capacity-trunk lids (# units) 3000 2400 2500 Finishing facility leave requests (worker-months) 50 Table 1. Plant Data - A worker month is the equivalent of one worker being absent for the entire month (21 working days). Table 1 shows the plant capacity for manufacturing different products as well as the number of leave requests at the finishing facility during each month. Table 2 shows the selling price and unit cost for each product. 500 30 40 Product Unit cost ($) for May and Unit cost ($) for July Unit Selling Price ($) June (including labor) (including labor)** Doors 230 255 450 Trunk lids 180 210 250 Table 2. Product cost and price - "The production costs will increase in July as a result of a union negotiated wage hike. Product May June July End-of-April Finishing labor inventory time (minutes) Doors 1700 1600 1500 35 45 Trunk lids 750 700 600 10 30 Table 3. Sales Orders Table 3 shows firm sales order that must be satisfied. A unit may be produced in one month and held over for sale in a later month. The storage cost is $5 per month for each door and $4 per month for each trunk lid held over from one month to the next. Work-in- process floor space within the plant is restricted to 70,000 square feet (i.e. no more than 70,000 sq. ft. of doors and trunk lids can be produced in a given month). Each door