Question

In: Finance

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

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

Fixed Cost = $15,000

Material cost per unit = $0.15

Labor cost per unit = $0.10

Revenue per unit = $0.65

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?
  to   units
(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.

Solutions

Expert Solution

Revenue Volume Fixed Cost VC1 VC2 Revenue per unit
24375 37500 15000 0.15 0.1 0.65
Prod vol Profit
5000 -13000
10000 -11000 Profit 0
15000 -9000
20000 -7000
25000 -5000
30000 -3000
35000 -1000
40000 1000
45000 3000
50000 5000

The solution to the problem is attached above.

In this we first enter all the given data as shown in the top most table. In this table the first item is the revenue which is calculated by multiplying revenue per unit and volume.

The second table contains the volume of units in the first column and the second table contains the profit, which is calculated by subtracting fixed cost and varible cost per unit * volume from the total revenue generated.

we see that 35000 to 40000 is the range of breakeven.

we find this by using goal seek, we set a cell next to profit with the formula for calculating profit and then run the goal seek to change the volume figure in the first table. and we get the answer as 37500.


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