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# Roche Brothers alternatives for expansion of supermarket

See attached file and please show ALL work.

Roche Brothers is considering two alternatives for a capacity expansion of its supermarket - (1) 3-stage expansion, and (2) 1-stage expansion.

The first alternative expands the supermarket at the end of year 0 to 60,000 customers, to 70,000 at the end of year 3, and to 80,000 at the end of year 5. Since the first stage expansion provides a big leap for the company to provide services from 30,000 to 60,000 customers, the initial investment would be higher at the end of year 0 than other two investments. The initial investment would be \$1,000,000 at the end of year 0, \$500,000 at the end of year 3, and \$200,000 at the end of year 5. With this alternative, the company must pay \$50,000 of monthly operating expenses.

The second alternative expands the supermarket at the end of year 0 to 75,000. The initial investment would be \$1,500,000 at the end of year 0. With this alternative, the company must pay \$30,000 of monthly operating expenses.

The projected demand for the next 7 years is shown below.

Year Projected Demand
1 50,000
2 55,000
3 60,000
4 65,000
5 70,000
6 75,000
7 80,000

The current effective capacity is equivalent to 30,000 customers per year and the pre-tax profit is approximately \$3 per month of customer spending. Using information given above, please prepare the following information in details:

a. Before-tax cash inflows , cash outflows, and cumulative cash flow through year 7 for each alternative
b. What is the final contribution at the end of year 7 for each alternative?
c. What is the break-even years and months for each alternative?
d. According to the question (c), if the annual compound interest rate is 10%, which alternative is better? Why?

#### Solution Preview

See the attached file for complete solution. The text here may not be copied exactly as some of the symbols / tables may not print. Thanks

Roche Brothers is considering two alternatives for a capacity expansion of its supermarket - (1) 3-stage expansion, and (2) 1-stage expansion.

The first alternative expands the supermarket at the end of year 0 to 60,000 customers, to 70,000 at the end of year 3, and to 80,000 at the end of year 5. Since the first stage expansion provides a big leap for the company to provide services from 30,000 to 60,000 customers, the initial investment would be higher at the end of year 0 than other two investments. The initial investment would be \$1,000,000 at the end of year 0, \$500,000 at the end of year 3, and \$200,000 at the end of year 5. With this alternative, the company must pay \$50,000 of monthly operating expenses.

The second alternative expands the supermarket at the end of year 0 to 75,000. The initial investment would be \$1,500,000 at the end of year 0. With this alternative, the company must pay \$30,000 of monthly operating expenses.

The projected demand for the next 7 years is shown below.

Year Projected ...

#### Solution Summary

This problem address and illustrates in step-by-step manner how to take capital investment decisions. The solution is presented in Excel format for easy understanding.

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