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

Fixed Cost $=$ $$9,000$

Material cost per unit $=$ $$0\mathrm{.}15$

Labor cost per unit $=$ $$0\mathrm{.}10$

Revenue per unit $=$ $$0\mathrm{.}65$

Production Volume $=12,000$

Per$-$unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all it produces, build a spreadsheet model that calculates the profit by subtracting the fixed cost and total variable cost from total revenue, and answer the following questions.

$($a$)$ Construct a one$-$way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is$,$ breakeven is when total revenue $=$ total cost, yielding a profit of zero. Vary production volume from $5,000$ to $50,000$ in increments of $5,000.$ In which interval of production volume does breakeven occur?

$($b$)$ Use Goal Seek to find the exact breakeven point. Assign Set cell: equal to the location of profit, To value: $=0,$ and By changing cell: equal to the location of the production volume in your model.