1. Formulating a Multiperiod Production Problem (10 points). The T.E. Callarman Appliance Company is thinking of manufacturing and selling trash compactors on an experimental basis over the next 6 months. The manufacturing costs and selling prices of the compactors are projected to vary from month to month. Table A gives these forecast costs and prices. Table A. Manufacturer Costs and Selling Prices Month Manufacturing Selling Price Cost (During Month) July $60 August $60 $80 September $50 $60 October $60 $70 November $70 $80 December $90 All compactors manufactured during any month are shipped out in one large load at the end of that month. The firm can sell as many as 300 units per month, but its operation is limited by the size of its warehouse, which holds a maximum of 100 compactors. Callerman's operations manager, Richard Deckro, needs to determine the number of compactors to manufacture and sell each month in order to maximize the firm's profit. Callerman has no compactors on hand at the beginning of July and wishes to have no compactors on hand at the end of the test period in December. He notes that because the company starts with no compactors (and because it takes 1 month to gear up and ship out the first batch), it cannot sell any units in July. Also, because it wants zero inventory at the end of the year, manufacture during the month of December must be zero. Formulate this problem as an LP