Cox Electric makes electronic components and has estimated the following for a new design of one its products.

Fixed Cost $=$$$11,000$

Material Cost per Unit $=$$$0\mathrm{.}17$

Labor Cost per Unit $=$$$0\mathrm{.}12$

Revenue per Unit $=$$$0\mathrm{.}66$

Note that fixed cost is incurred regardless of the amount produced. Per$-$unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue.

$($a$)$ Build an influence diaoram that illustrates how to calrulate nrafit

$($b$)$ Using mathematical notation similar to that used for Nowlin Plastics, give a mathematical model for calculating profit. $($Write your answer in terms of the following variables $q=$ Production Volume $($quantity produced$),R=$ Revenue Per Unit, $FC=$ the Fixed Costs of Production, $MC=$ Material Cost per Unit, $LC=$ Labor Cost per Unit, and $P(q)=$ Total Profit for producing $($and selling$)q$ units.$)$

$P(q)=$

$($c$)$ Implement your model from part $($b$)$ in Excel using the principles of good spreadsheet design.

$\backslash$table$[[,$A$,$B$,$C$],[1,$Cox Electric Breakeven Analysis,$],[2],[3,$Parameters,,$],[4,$Revenue per Unit,$$0\mathrm{.}66,],[5,$Fixed Costs,$$11,000\mathrm{.}00,],[6,$Materials Cost per Unit,$$0\mathrm{.}17,],[7,$Labor Cost per Unit,$$0\mathrm{.}12,],[8],[9],[10,$Model,,$],[11,$Production Volume,,$],[12],[13,$Total Revenue,$=811**84,],[14],[15,$Materials Cost,$=B11*86,],[16,$Labor Cost,$=811*B7,,],[17,$Fixed Cost,