3- 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 pair 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. 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 b. Interpret the problem given above through the following: (a) determine the objective function (2 Marks) and (b) the constraints (4 Marks). c. Write the problem in complete form and solve using graphical method. (5 Marks) d. Determine the value of each feasible point. (2 Marks). Find the optimal solution. (2 Mark)