Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has $800$ hours of Kelson Sporting Goods

Parameters

production time available in its cutting and sewing department, $150$ hours available in its finishing department, and $400$ hours available in its

packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

The data has been collected in the Microsoft Excel file below. Download the spreadsheet and perform the required analysis to answer the questiol

below.

Download spreadsheet sporting.goods$-7590$df$.$xlsx

Assuming that the company is interested in maximizing the total profit contribution, answer the following questions:

a$.$ What is the linear programming model for this problem? If required, round your answers to $3$ decimal places or enter your answers as a

fraction. If the constant is $"1"$ 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 units of catcher's model.