Doughboy
Bakery would like to buy a new machine for putting icing and other
toppings on pastries. These are now put on by hand. The machine that the
bakery is considering costs $92,000 new. It would last the bakery for
ten years but would require a $8,500 overhaul at the end of the seventh
year. After ten years, the machine could be sold for $7,500.
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The
bakery estimates that it will cost $11,500 per year to operate the new
machine. The present manual method of putting toppings on the pastries
costs $31,000 per year. In addition to reducing operating costs, the new
machine will allow the bakery to increase its production of pastries by
6,000 packages per year. The bakery realizes a contribution margin of
$0.70 per package. The bakery requires a 13% return on all investments
in equipment. (Ignore income taxes.)
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Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
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Required: | |
1. |
What are the annual net cash inflows that will be provided by the new machine? (Omit the "$" sign in your response.)
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Annual net cash inflows | $ |
2. |
Compute the new machine's net present value. Use the incremental cost approach.
(Negative amount should be indicated by a minus sign. Round discount
factor(s) to 3 decimal places, intermediate and final answers to the
nearest dollar amount. Omit the "$" sign in your response.)
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Net present value | $ |
Explanation: 1.
The annual net cash inflows would be: |
Reduction in annual operating costs: | |
Operating costs, present hand method | $ 31,000 |
Operating costs, new machine | 11,500 |
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Annual savings in operating costs | 19,500 |
Increased annual contribution margin: | |
6,000 packages × $0.70 per package | 4,200 |
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Total annual net cash inflows | $ 23,700 |
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2.
Item | Year(s) | Amount of Cash Flows | 13% Factor | Present Value of Cash Flows | |
Cost of the machine | Now | $ | (92,000) | 1.000 | $ (92,000) |
Overhaul required | 7 | $ | (8,500) | 0.425 | (3,613) |
Annual net cash inflows | 1-10 | $ | 23,700 | 5.426 | 128,596 |
Salvage value | 10 | $ | 7,500 | 0.295 | 2,212 |
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Net present value | $ 35,196 | ||||
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