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The Sweetwater Candy Company would like to buy a new machine that would automati

ID: 2595216 • Letter: T

Question

The Sweetwater Candy Company would like to buy a new machine that would automatically “dip” chocolates. The dipping operation currently is done largely by hand. The machine the company is considering costs $120,000. The manufacturer estimates that the machine would be usable for five years but would require the replacement of several key parts at the end of the third year. These parts would cost $9,000, including installation. After five years, the machine could be sold for $7,500.

The company estimates that the cost to operate the machine will be $7,000 per year. The present method of dipping chocolates costs $30,000 per year. In addition to reducing costs, the new machine will increase production by 6,000 boxes of chocolates per year. The company realizes a contribution margin of $1.50 per box. A 20% rate of return is required on all investments.

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.

Required:

1. What are the annual net cash inflows that will be provided by the new dipping machine?

2. Compute the new machine’s net present value.

Explanation / Answer

Answer:

A)

Calculation of the annual net cash inflows that w ill be provided by the new dipping machine

Reduction in annual operating costs:

Operating costs, present hand method

$30,000

Operating costs, new machine

   7,000

Annual savings in operating costs

23,000

Increased annual contribution margin:

6,000 boxes × $1.50 per box

   9,000

Total annual net cash inflows

$32,000

The annual net cash inflows would be:

$32,000

__________________________

2

Calculation of the the new machine's net present value

Item

Year(s)

Amount of Cash Flows

20% Factor

Present Value of Cash Flows

Cost of the machine

Now

($120,000)

1

($120,000)

Replacement of parts

6

($9,000)

0.335

-3,015

Annual net cash inflows (above)

12-Jan

$32,000

4.439

142,048

Salvage value of the

12

$7,500

0.112

         840

machine

Net present value

$   19,873

NPV of the Machine is $19,873

Reduction in annual operating costs:

Operating costs, present hand method

$30,000

Operating costs, new machine

   7,000

Annual savings in operating costs

23,000

Increased annual contribution margin:

6,000 boxes × $1.50 per box

   9,000

Total annual net cash inflows

$32,000

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