Please submit your answer to the questions AND submit the Excel file

Kelson Sporting Equipment, Inc., makes two 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 available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

$\backslash$table$[[,$Production Time $($hours$)],[$Model$,\backslash$table$[[$Cutting and$],[$Sewing$]],$Finishing,$\backslash$table$[[$Packaging and$],[$Shipping$]],$Profit$/$Glove$],[,,,,$$$5],[$Regular model,$1,1/2,1/8,$$$8],[\backslash$table$[[$Catcher$\text{'}$s$],[$model$]],1/2,1/3,1/4,]]$

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?

b$.$ Develop a spreadsheet model and find the optimal solution using Excel Solver. How many of each model should Kelson manufacture?