(a)
The after-tax present worth.

Answer to Problem 15P
The after-tax present worth is,
Explanation of Solution
Given:
Capacity of each carton is
Average quantity of bags in each carton is
The percentage loss to the company by overfilling the cartons is
Cost of each bag is
Cost of the equipment is
Life of the equipment is
Salvage value of the machine is
Maintenance cost of the machine is
Federal plus state tax is
MARR after tax is
Concept used:
Write the formula to calculate the taxable income.
Here, the taxable income is
Write the formula to calculate the taxable amount.
Here, the taxable amount is
Write the formula to calculate the after tax cash flow.
Here, the after tax cash flow is
Calculation:
Write the formula to calculate the straight line depreciation.
Here, the asset value is
Substitute
Calculate savings of the company as shown below.
Substitute
Calculate the After cash flow of as shown in table below.
Year | Cost | Savings | Net BTCF | DI | TI | Tax | ATCF |
NPV |
Conclusion:
Therefore, after tax present worth is,
(b)
The after-tax

Answer to Problem 15P
The after-tax internal
Explanation of Solution
Calculate the After cash flow of as shown in table below.
Year | Cost | Savings | Net BTCF | DI | TI | Tax | ATCF |
NPV |
Calculate the after tax internal rate of return as shown below.
Write the expression to calculate the rate of return after tax as shown below.
Substitute
Substitute
The value of right hand side is nearly equal to the left hand side.
Conclusion:
Therefore, the after-tax internal rate of return is
(c)
The after-tax simple payback period.

Answer to Problem 15P
The after-tax simple payback period is,
Explanation of Solution
The initial investment is
Calculate the payback period as shown below.
Substitute
Conclusion:
Therefore, the after-tax simple payback period is,
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Chapter 12 Solutions
ENGINEERING ECONOMIC ENHANCED EBOOK
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