Question

Wendell’s Donut Shoppe is investigating the purchase of a new $18,600 donut-making machine. The new machine would permit the company to reduce the amount of part-time help needed, at a cost savings of $3,800 per year. In addition, the new machine would allow the company to produce one new style of donut, resulting in the sale of 1,000 dozen more donuts each year. The company realizes a contribution margin of $1.20 per dozen donuts sold. The new machine would have a six-year useful life. Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables. Required: 1. What would be the total annual cash inflows associated with the new machine for capital budgeting purposes? (Round your final answer to the nearest whole dollar amount.) 2. What discount factor should be used to compute the new machine’s internal rate of return? (Round your answers to 3 decimal places.) 3. What is the new machine’s internal rate of return? (Round your final answer to the nearest whole percentage.) 4. In addition to the data given previously, assume that the machine will have a $9,125 salvage value at the end of six years. Under these conditions, what is the internal rate of return? (Hint: You may find it helpful to use the net present value approach; find the discount rate that will cause the net present value to be closest to zero.) (Round your final answer to the nearest whole percentage.)

Answer 1

Answer:

1. Total Annual Cash Inflows = 5000

2. Discount Factor = 3.72

3. New Machine's internal rate of return = 16%

Explanation:

Note: the question is incomplete and it lacks essential data to be used in part 4. Without the exhibits mentioned in the questions, it is not possible to solve this question completely. We will be solving it till part 3.

1) What would be the total annual cash inflows associated with the new machine for capital budgeting purposes?

Answer:

In this we have to calculate the total annual cash inflows and the formula to calculate it is mentioned below:

Total Annual Cash Inflows = Savings in Part Time help annually + Additional contribution Margin from Expected Sales.

Total Annual Cash Inflows = 3800  + ( 1000 x 1.20)

Total Annual Cash Inflows =  3800 + 1200

Total Annual Cash Inflows = 5000

2. What discount factor should be used to compute the new machine’s internal rate of return?

Answer:

Formula to calculate the Discount factor:

Discount Factor = Price of new machine/ annual cash inflow

Price of new machine = 18600 USD

Annual cash inflow = 5000

Discount Factor = 18600 /5000

Discount Factor = 3.72

3.  What is the new machine’s internal rate of return?

Answer:

As, it can be seen from the exhibits (which are missing from this question)  that the discount factor for 6 years is nearly closest to 16%, hence the new machine's internal rate of return = 16%

Note: the question is incomplete and it lacks essential data to be used in part 4. without the exhibits mentioned in the questions. It is impossible to solve further.