In: Finance
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. |
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.