Nelson Sporting Equioment, Inc, makes two different types of baseball gloves a regular model and catch model. The ban 900 hours of production time wallatie in cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shoping department. The production to requirements and the protit contribution per glove are given in the following table Production Time (Hours) Cutting and Packaging and Model Sewing Finishing Shipping Regular model 1 1/2 Catch's model 3/2 1/4 Profit/Glove SS ss Asuming that the company is interested in miring the total profit contributiwer the following (a) What is the linear programming model for this problem. If required, round your answers to decimal prices or enter your answers a fraction of the constantin must te entered in the box. Do not round intermediate calculation. If an amount Wro, entor Lot-number of units of regular model number of units of catcher's model (a) What is the linear programming model for this problem i required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant it must be entered in the box. Do not round Intermediate calculation. If an amount is zero, enter"0" Let R - number of units of regular model, C-number of its of catcher's model Max c S. 22+ C Select your answer Cutting and sewing R+ Select your answer Finishing C Pading and Shipping R. RC Select your answer Select your answer (b) Develop a spreadsheet model and find the optimal solution using Solvet How many gloves of each model should Kelson manufacture? Il your answers Jero enter 20 Regular Model- units Catcher's Model units (c) What is the total polit contribution Kelson can earn with the given production quantities? (d) How many hours of production time will be scheduled in each department? Department Time Used (Hours) Cutting and Sewing Finishing Packing and Shipping (e) What is the slack time in each department? If your answer is zero, enter"0" Department Slack Time (Hours) Cutting and Sewing Finishing Packing and Shipping