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Tex-House builds and sells houses for $200,000 each. The firms fixed costs are $

ID: 2666038 • Letter: T

Question

Tex-House builds and sells houses for $200,000 each. The firms fixed costs are $3,000,000. 50 houses are built and sold each year. Profits total about $2,000,000. The firm estimates that it can change its production process by adding 4,000,000 to investment and $1,000,000 to fixed costs. This would reduce variable costs by $30,000 and increase output by 30 units. To permit sales of the new output, prices would have to be lowered by $20,000 per unit.

Should the firm make the change?
At the new production level, what price would make profits equal zero?
Will the new production situation expose the firm to more or less risk?

Explanation / Answer

current                

assumptions                                                          

                       

income statement

per house revenue

200,000

Revenue

10,000,000.00

houses sold

50

fixed costs

3,000,000.00

variable costs per unit

100,000

variable costs

5,000,000.00

fixed costs

3,000,000

net income

2,000,000.00

Proposed

assumptions                                                         

          

income statement

per house revenue

180,000

Revenue       

14,400,000.00

houses sold

80

fixed costs

4,000,000.00

variable costs per unit

70,000

variable costs

5,600,000.00

fixed costs

4,000,000

net income

4,800,000.00

1) should they make the investment- investment of $4m to get an incremental increase in Net Income per year of $2.8m. Don't know, it depends on the company's required pay back period.

2) $120,000

3) higher fixed costs means higher risk.

current                

assumptions                                                          

                       

income statement

per house revenue

200,000

Revenue

10,000,000.00

houses sold

50

fixed costs

3,000,000.00

variable costs per unit

100,000

variable costs

5,000,000.00

fixed costs

3,000,000

net income

2,000,000.00

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