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A manufacturing company produces two types of products: A and B. The company has agreed to deliver the products on the schedule shown in Table 1. Date A B March, 31 5,000 2,000 April, 30 8,000 4,000 Table 1: Demand for each product. The company has two assembly lines, 1 and 2, with the available production hours shown in Table 2. Month Line 1 Line 2 2,000 1,200 March 800 April 400 Table 2: Production hours available for each assembly line. The production rates for each assembly line and product combination, in terms of hours per product, are shown in Table 3. Product Line 1 Line 2 0.15 A 0.16 B 0.12 0.14 Table 3: Production rates (hours per product) for each assembly line. The inventory carrying cost is $0.2 per unit (charged on each month's ending inventory). Currently, there are 500 units of A and 750 units of B in inventory. Management would like at least 1,000 units of each product in inventory at the end of April. Formulate an LP to determine the production schedule that minimizes the total cost incurred in meeting demands on time.