linear programming model

38. Photo Chemicals produces two types of photographic developing uids. Both products cost Photo Chemicals $1 per gallon to produce. Based on an analysis of current inventory levels and outstanding orders for the next month, Photo Chemicals' management specied that at least 30 gallons of product 1 and at least 20 gallons of product 2 must be produced during the next two weeks. Management also stated that an existing inventory of highly perishable raw material required in the production of both uids must be used within the next two weeks. The current inventory of the perishable raw material is 80 pounds. More of this raw material can he ordered if necessary, but any of the current inventory that is not used within the next two weeks will spoilwhence, the management requirement that at least 80 pounds be used in the next two weeks. Furthermore, it is known that product 1 requires 1 pound of this per- ishable raw material per gallon and product 2 requires 2 pounds of the raw material per gallon. Because Photo Chemicals' objective is to keep its production costs at the mini- mum possible level, the rm's management is looking for a minimumcost production plan that uses all the 80 pounds of perishable raw material and provides at least 30 gallons of prod uct l and at least 20 gallons of product 2. What is the minimum-cost solution