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Gnoma [55]
3 years ago
14

Bailey, Inc., is considering buying a new gang punch that would allow them to produce circuit boards more efficiently. The punch

has a first cost of $100,000 and a useful life of 15 years. At the end of its useful life, the punch has no salvage value. Labor costs would increase $2,000 per year using the gang punch, but raw material costs would decrease $12,000 per year. MARR is 5 %/year.
a) What is the discounted payback period for this investment?
b) If the maximum attractive DPBP is 3 years, what is the decision rule for judging the worth of this investment?
c) Should Bailey buy the gang punch based on DPBP?
Business
1 answer:
KengaRu [80]3 years ago
6 0

Answer:

initial investment $100,000

useful life 15 years

cash flow per year = -$2,000 + $12,000 = $10,000

discount rate 5%

discounted cash flow:

1                $10,000/1.05 = $9,524

2               $10,000/1.05² = $9,070

3               $10,000/1.05³ = $8,638

4               $10,000/1.05⁴ = $8,227

5               $10,000/1.05⁵ = $7,835

6               $10,000/1.05⁶ = $7,462

7               $10,000/1.05⁷ = $7,101

8               $10,000/1.05⁸ = $6,768

9               $10,000/1.05⁹ = $6,446

10              $10,000/1.05¹⁰ = $6,139

11               $10,000/1.05¹¹ = $5,847

12              $10,000/1.05¹² = $5,568

13              $10,000/1.05¹³ = $5,303

14              $10,000/1.05¹⁴ = $5,051

15              $10,000/1.05¹⁵ = $4,810

A) discounted pay back period = 14.2 years

B) if the decision rule is a discounted payback period of 3 years, then the project should be rejected

C) the decision rule should be the NPV, which is actually positive since the DPBP is less than 15 years. Only companies that fear premature obsolescence should base their decision on the pay back period. Since this is an electronics company, it is sound to use the pay back period as a decision parameter besides the NPV.

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Answer:

1. Swoop = $50

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Explanation:

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1. Contribution margin is the selling price minus all the variable costs associated with the product. The total contribution margin represents the amount of earnings that are available to pay for fixed costs after paying for variable costs.

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Required machine time per unit^      0.10           0.33

Contribution margin per machine time $50    $45

^ 0.10 = 6 minutes per Swoop units / 60 minutes

0.33 = 20 minutes per Rufus unit / 60 minutes

2. Optimal product mix refers to the variety of products that a business offers to its customers. Companies determine their optimal mix for their business as this optimizes the potential unit sales while maintaining or improving the company’s profitability.

Since Swoop yields the highest contribution margin per hour of machine time [$50], we will prioritize producing all pf the Swoop T-shirts that the market can take, i.e. to meet the demand.  

Machine time required for the maximum amount of Swoop = 40, 000 x 0.1 hours = 4, 000 hours needed to manufacture the Swoop t-shirts.  

The remaining machine hours will manufacture the Rufus T-shirts.

7, 000 – 4, 000 = 3, 000 hours.

3, 000 / 0.33 = 9, 091 units.

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