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Calculating the optimal budget

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1)
The managers of United Med tronics are evaluating the following four projects for the coming budget period. The firm's corporate cost of capital is 14 percent.
Project Cost IRR
A $20,000 17%
B $15,000 16%
C $12,000 15%
D $18,000 13%
a. What is the firm's optimal capital budget?
b. Now, suppose Medtronic's managers want to consider differential risk in the capital budgeting process. Project A has average risk, B has below-average risk, C has above-average risk, and D has average risk. What is the firm's optimal capital budget when differential risk is considered? (Hint: The firm's managers lower the IRR of high-risk projects by 3 percentage points and raise the IRR of low-risk projects by the same amount.)
c. Return to the original assumption that all projects have average risk. If United Medtronics are only approved for $30,000 towards their project budget, which project or projects would you accept? (Hint: Any money not used for a project will not receive any return).

2)
The MIT Whitehead Institute must choose between two cDNA microarray machines to expand their high-throughput genomic laboratory. Both of these machines have the same function, and the firm will only choose on vendor from which to purchase their machines.
The first machine, manufactured by Amersham Pharmacia (machine 1), will cost $250,000. The second machine, manufactured by PE Applied Bio systems (machine 2), will cost $200,000.
The cost of capital for both of these investments is 10%. The life for both machines is estimated to be 5 years. During this period, cash flows for machine 1 will be $80,000 per year and cash flows for machine 2 will be $65,000 per year. These cash flows include depreciation expenses. Calculate NPV and IRR for each machine and select the best choice for the MIT Whitehead Institute.

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Solution Summary

Solutions to given problems depict the steps to calculate IRR, NPV and optimal budget.

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Find the optimal bundles of consumption.

Assume that an individual consumes two goods, X and Y. The total utility of each good is independent of the rate of consumption of the other good.

The price of X and Y are $40 and $60 respectively. Use the following table of total utilities to answer the following questions.

Good Total Utility of X Total Utility of Y
1 20 45
2 38 78
3 54 108
4 68 135
5 80 159
6 90 180

a. The marginal utility of the fourth unit of Y is _.
b. The marginal utility of the fifth unit of X is _.
c. The marginal utility per dollar spent on the third unit of X is _.
d. The marginal utility per dollar spent on the second unit of Y is _.
e. If the consumer has $420 to spend, _ unit of X and _ units of Y maximize utility subject to the budget constraint. Explain.
f. If the consumer has $220 to spend, _ units of X and _ units of Y maximize utility subject to the budget constraint. Explain.

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