In: Finance
Problem 15-07
Break-even Point
Schweser Satellites Inc. produces satellite earth stations that sell for $95,000 each. The firm's fixed costs, F, are $2 million, 50 earth stations are produced and sold each year, profits total $500,000, and the firm's assets (all equity financed) are $5 million. The firm estimates that it can change its production process, adding $3 million to assets and $490,000 to fixed operating costs. This change will reduce variable costs per unit by $10,000 and increase output by 16 units. However, the sales price on all units must be lowered to $89,000 to permit sales of the additional output. The firm has tax loss carryforwards that render its tax rate zero, its cost of equity is 12%, and it uses no debt.
| Selling price | 95,000 | ||
| Units sold/year | 50 | ||
| Total Revenues | selling price*units sold/year | 4,750,000 | |
| Total Profits | 500,000 | ||
| Fixed Costs (F) | 2,000,000 | ||
| Total Assets | 5,000,000 | ||
| Change of production process | |||
| Asset addition | 3,000,000 | ||
| Total Assets | 8,000,000 | <--5,000,000+3,000,000 (existing+addition) | |
| Addition to fixed cost (F) | 490,000 | ||
| Total fixed cost (F) | 2,490,000 | <--2,000,000+490,000 (existing+addition) | |
| increase in poutput/year | 16 | ||
| Total output/year | 66 | <--50+16 (existing+addition) | |
| Reduction in var cost/unit | 10,000 | ||
| New sales price/unit | 89,000 | ||
| Sales price/unit adjusted for variable cost/unit | 79,000 | <--(89,000-10,000) | |
| Total Revenues | 5,214,000 | <--66*79,000(total units * selling price per unit) | |
| Total costs (Fixed) | 2,490,000 | ||
| Total Profits | 2,724,000 | <--(Total revenues-total fixed costs) | |
| Incremental Profits | 2,224,000 | <--2,724,000-500,000(Profits after change-profits before change) | |
| Expected rate of return | incremental profits/addition to assets | ||
| 74.13% | <--2,224,000/3,000,000 |
The case facts and answers are given in the above tabel
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