Show LP models for all problems. Attach the original Excel Solver solutions, including the answer report and the sensitivity report for the LP models.

4. (25 points) Virginia Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department and 100 hours in its packaging department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (hours) Model cutting and sewing finishing packaging profit per glove Regular 1 0.5 5 Catcher's 1.5 2 1 8 1.5 The firm is interested in maximizing the total profit. Answer the following questions, a. What is the LP model for the problem? b. Find the optimal solution and the total profit. c. What is the slack time in each department? d. What are the dual values for the resources? Interpret each. e. If over time can be scheduled in one of the department, where would you recommend? Why