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Modern Artifacts can produce keepsakes that will be sold for $70 each. Nondeprec

ID: 2628835 • Letter: M

Question

Modern Artifacts can produce keepsakes that will be sold for $70 each. Nondepreciation fixed costs are $2,300 per year and variable costs are $42 per unit.

a.

If the project requires an initial investment of $6,000 and is expected to last for 5 years and the firm pays no taxes. The initial investment will be depreciated straight-line over 5 years to a final value of zero, and the discount rate is 10%. What are the accounting and NPV break-even levels of sales? (Do not round intermediate calculations. Round your answers to the nearest whole number.)

  Accounting break-even levels of sales

units

  NPV break-even levels of sales

units

b.

What will be the accounting and NPV break-even levels of sales, if the firm's tax rate is 40%? (Do not round intermediate calculations. Round your answers to the nearest whole number.)

Accounting break-even levels of sales

units

  NPV break-even levels of sales

units

Modern Artifacts can produce keepsakes that will be sold for $70 each. Nondepreciation fixed costs are $2,300 per year and variable costs are $42 per unit.

a.

If the project requires an initial investment of $6,000 and is expected to last for 5 years and the firm pays no taxes. The initial investment will be depreciated straight-line over 5 years to a final value of zero, and the discount rate is 10%. What are the accounting and NPV break-even levels of sales? (Do not round intermediate calculations. Round your answers to the nearest whole number.)

  Accounting break-even levels of sales

units

  NPV break-even levels of sales

units

b.

What will be the accounting and NPV break-even levels of sales, if the firm's tax rate is 40%? (Do not round intermediate calculations. Round your answers to the nearest whole number.)

Accounting break-even levels of sales

units

  NPV break-even levels of sales

units

Explanation / Answer

Checking an annuity table the factor for 5 years at 10% is 3.79079

So the project must generate 6,000/3.79079= 1,583 in cash yearly to break even.

Without taxes we have x(70-42) - 2300= 1583

Solving for x we get 139 (rounded) as the break even level.

With taxes we have (x(70-42) -2300)*(1-.40)) +1200*.40 (depreciation tax shield)= 1583

Solving for x we get a breakeven of 205 units (rounded).

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