"You get in a conversation with a man in the reception room at your doctor's office. He tells you he is establishing a barbersho
1 answer:
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Answer:
∑( Cash flow × PVF) = 79,347
Explanation:
Given:
Opportunity cost = 9%
Cash flow for 1-5 years = 10,000
Cash flow for 6-10 years = 16,000
Now,
Present value factor (PVF) =
here, n is the year
For year 1 to 5
Year Cash flow PVF Cash flow × PVF
1 10000 0.9174 9174
2 10000 0.8417 8417
3 10000 0.7722 7722
4 10000 0.7084 7084
5 10000 0.6499 6499
for years 6 to 10
Year Cash flow PVF Cash flow × PVF
6 16000 0.5963 9540.8
7 16000 0.547 8752
8 16000 0.5019 8030.4
9 16000 0.4604 7366.4
10 16000 0.4224 6758.4
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∑( Cash flow × PVF) = 79,347
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taking the PVF to 5 decimal places will make 79,347 ≈ 79,348
Question: The question is incomplete. See the full question below and the answer.
You are an up-and-coming developer in downtown Seattle and are interested in constructing a building on a site you own. You have collected four bids from prospective contractors. The bids include both a cost ($millions) and time to completion (months):
Contractor Cost Time
A 100 20
B 80 25
C 79 28
D 82 26
The problem now is to decide which contractor to choose. B has indicated that for another $20 million, he could do the job in 18 months, and you have said that you would be indifferent between that bid and the original proposal. In talking with C, you have indicated that you would just as soon pay her an extra $million if she could get the job done in 26 months. Who gets the job? Explain your reasoning. (It may be convenient to plot the four alternatives on a graph.)
Answer:
See the explanation for the answer and find attached of the graph.
Explanation:
So we draw a regression line of Time vs Cost and best fit a curve based on the data given, given in the above figure. The four alternatives are marked in the figure as well. Our main objective is to reduce both time and cost, but that might not be possible So the best thing would be to look for alternatives which lie below the line. If C gets an extra million, then that point would come below the regression line, and it would be a better alternative than D, because for the same time we are getting the job done at a cheaper cost.
Also if B is paid extra 20 million, that point also comes below the regression line, and hence will be a better alternative than A because for the same cost again we are getting the job done earlier. We need to choose between B and C. Now in order to optimise both cost and time, we need to choose a point close to the middle point of the regression line segment in 1st quadrant. We see that C is much more closer to the middle point and hence seems like a better option.
So we choose C as our contractor if we consider B's alternative bid, but if we do not consider B's alternative bid and stick to the original one, we choose B as our contractor.
