Alan Industries is expanding its product line to include three new products: A, B, and C. These are to be produced on the same production equipment, and the objective is to meet the demands for the three products using overtime where necessary. The demand forecast for the next four months, in hours required to make each product, is

Because the products deteriorate rapidly, there is a high loss in quality and, consequently, a high carrying cost when a product is made and carried in inventory to meet future demand. Each hour€™s production carried into future months costs $ 3 per production hour for A, $ 4 for Model B, and $ 5 for Model C. Production can take place either during regular working hours or during overtime. Regular time is paid at $ 4 when working on A, $ 5 for B, and $ 6 for C. The overtime premium is 50 percent of the regular time cost per hour. The number of production hours available for regular time and overtime is

Set up the problem in a spreadsheet and an optimal solution using the Excel Solver. Appendix A describes how to use the ExcelSolver.

PRODUCT APRIL MAY JUNE JULY 800 600 00 1.200 600 700 900 1,100 700 500 700 950 APRILMAYJE JULY JUNE Regular time 1,500 300 00 2,000 700 650 900 1,000 Overtime