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Assume that laban Company is considering the purchase of a newer, more efficient yogurt-making machine. If purchased, it would require the new machine on January

Assume that laban Company is considering the purchase of a newer, more efficient yogurt-making machine. If purchased, it would require the new machine on January 2, year 1. laban expects to sell 600,000 gallons of yogurt in each of the next five years at a $2 per gallon selling price. laban has two options:

(1) continue to operate the old machine purchased four years ago or (2) sell it and purchase the new machine.

The following information has been prepared to help decide which option is more desirable.

old machine new machine
Original cost of machine at acquisition $1,600,000 $2,000,000
Useful life from date of acquisition 7 years 5 years
Expected annual cash operating expenses:
variable cost per gallon $1.20 $1.00
total fixed cash costs $400,000 $160,000

depreciation is as follows:

age of equipment (years) tax depreciation rate
1 15%
2 25%
3 20%
4 20%
5 20%

Estimated cash value of machines follows: old machine new machine
January 2, year 1 $ 400,000 $ 2,000,000
31 December, year 3 $ 200,000 $ 1,000,000

laban is subject to a 40% income tax rate on all income. Assume that tax depreciation is calculated without regard to salvage value. Use an after-tax discount rate of 10%.

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