SOLVE ONLY WTH GAMS

1. - [19 points) A manufacturing company produces two types of products: A and B. The company has agreed to deliver the products on the schedule shown in the table below: Date A B March 31 5,000 2,000 April 30 8,000 4,000 The company has two assembly lines, 1 and 2, with the available production hours shown in the following table. Month Line 1 hours Line 2 hours March 800 2,000 April 400 1,200 The production rates for each assembly line and product combination, in terms of hours per product, are shown below. Product Line 1 rate Line 2 rate 0.15 0.16 B 0.12 0.14 It costs $5 per hour of line time to produce any product. The inventory carrying cost per month for each product is 200 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. (a) [1 point] Which OR problem is this? (b) [4 points) Decision variables? (0) (3 points] Objective and objective function? (d) [11 points) Constraints