PS: I have the work for the problem I just need help explaining the results of it all. One of PLE$$s manufacturing facilities produces metal engine housings from sheet metal for both mowers and tractors. Production of each product consists of five steps: stamping, drilling, assembly, painting, and packaging to ship to its final assembly plant. The production rates in hours per unit and the number of production hours available in each department are given in the following table:

In addition, mower housings require $1\mathrm{.}2$ square feet of sheet metal per unit and tractor housings require $1\mathrm{.}8$ square feet per unit, and $2,500$ square feet of sheet metal is available. The company would like to maximize the total number of housings they can produce during the planning period. Formulate and solve a linear optimization model using Solver and recommend a production plan. Illustrate the results visually to help explain them in a presentation to Ms$.$ Burke. In addition, conduct whatever what$-$if analyses you feel are appropriate to include in your presentation $($for example, run different scenarios or systematically change model parameters$).$ Summarize your results in a well$-$written report.In addition, mower housings require $1\mathrm{.}2$ square feet of sheet metal per unit and tractor housings require $1\mathrm{.}8$ square feet per unit, and $2,500$ square feet of sheet metal is available. The company would like to maximize the total number of housings they can produce during the planning period. Formulate and solve a linear optimization model using Solver and recommend a production plan. Illustrate the results visually to help explain them in a presentation to Ms$.$ Burke. In addition, conduct whatever what$-$if analyses you feel are appropriate to include in your presentation $($for example, run different scenarios or systematically change model parameters$).$ Summarize your results in a well$-$written report. $\backslash$begin$\{$tabular$\}\{|$l$|$c$|$c$|$c$|\}$

$\backslash$hline Department & $\backslash$begin$\{$tabular$\}\{$c$\}$

Mower $\backslash \backslash$

Housings

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Tractor $\backslash \backslash$

Housings

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Production Hours $\backslash \backslash$

Available

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline Stamping & $0\mathrm{.}03$ & $0\mathrm{.}07$ & $200\backslash \backslash$

$\backslash$hline Drilling & $0\mathrm{.}09$ & $0\mathrm{.}06$ & $300\backslash \backslash$

$\backslash$hline Assembly & $0\mathrm{.}15$ & $0\mathrm{.}10$ & $300\backslash \backslash$

$\backslash$hline Painting & $0\mathrm{.}04$ & $0\mathrm{.}06$ & $220\backslash \backslash$

$\backslash$hline Packaging & $0\mathrm{.}02$ & $0\mathrm{.}04$ & $100\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$