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Jonas Clothing produces two different types of shirts: a raglan t-shirt, and a crew-neck t-shirt. The company has 860 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per t-shirt are given in the following table. Production Time (hours) Model Cutting and Sewing Finishing Packaging and Shipping Profit/t-shirt raglan t-shirt 1 11 / 2 1 8 $2 crew-neck t-shirt 3 2 1 3 1 4 $3 Assuming that the company is interested in maximizing the total profit contribution, answer the following. (a) What is the linear programming model for this problem? (Assume R is the number of units of raglan t-shirt and C is the number of units of crew-neck t-shirt.) Max s.t. cutting and sewing finishing packaging and shipping R, C20 (b) Find the optimal solution using Excel Solver. How many t-shirts of each type should Jonas clothing manufacture? (b) Find the optimal solution using Excel Solver. How many t-shirts of each type should Jonas clothing manufacture? raglan t-shirt gloves crew-neck t-shirt gloves (c) What is the total profit contribution (in dollars) Jonas can earn with the given production quantities? $ (d) What is the slack time (in hours) in each department? cutting and sewing hours finishing hours packaging and shipping hours