1. A store wants to liquidate 400 of its shirts and 300 pairs of pants from last season. They have decided to put together two offers, A and B. Offer A is a package of two shirts and three pair of pants which will sell for $20. Offer B is a package of six shirts and three pairs of pants, which will sell for $60. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer B. 
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3. a. Analyze this problem as a linear programming problem to determine the best mixture of Offer A and Offer B that minimizes the cost while meeting the minimum requirement. What will the maximum profit be? ( 15 marks) Use: X = number of packages of Offer A Y= number of packages of Offer B 
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5. b. Interpret the problem given above through the following: (a) determine the objective function (2 Marks) and (b) the constraints (4 Marks). 
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7. c. Write the problem in complete form and solve using the graphical method. (5 Marks) d. Determine the value of each feasible point. (2 Marks). Find the optimal solution.