Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees and a woodlot she
1 answer:
There were 72 (108 - 36) more maple trees in the woodlot before the bug problem. There were 108 maple trees in the woodlot before the bug problem. There are 36 maple trees in the woodlot after the bug problem.
The following information is given in the question:
Ratio of maple trees to oak trees before bug problem = 9:5
Ratio of maple trees to oak trees after replanting = 3:11
Total number of oak trees after replanting =132
Total number of trees in the woodlot is the same before and after the bug problem.
Let the number of maple trees after replanting be 'x'
From the data above, we can find the number of maple trees after replanting as follows:
So, number of maple trees after replanting in the woodlot are 36.
Let number of maple trees before bug problem be 'z'.
We can find the number of maple trees before bug problem as follows:
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Answer:
A) Project A = 0.83 year
B) NPV of Project B = $14,609.66
C) Answer B
Explanation:
Requirement A
We know,
Payback period = Last year with negative cumulative cash flows + (Absolute value of last year's cumulative cash flow ÷ Cash flow of the following year's negative cumulative cash flow)
Or, Payback period = A + ( B ÷ C)
Project A Project B
Year Cash Flow Cumulative Cash Flow Cash Flow Cumulative Cash Flow
0 (A) -$10,000 -$10,000 (B) -$10,000 -$10,000 (B)
1 $12,000 (C) 2,000 $10,000(C) 0
2 8,000 10,000 6,000 6,000
3 6,000 16,000 16,000 22,000
Payback period for project A = 0 + ($10,000 ÷ 12,000) = 0 + 0.833 = 0.83 year
Payback period for project B = 0 + ($10,000 ÷ 10,000) = 0 + 1 = 1 year
X-treme Vitamin Company should choose project A because it can return the investment earlier than project B.
Requirement B
We can use excel to find the Net Present Value for both the projects with a cost of capital of 10%.
The following image shows the NPV for project A and B.
From the calculation of NPV, X-treme Vitamin Company should choose project B as that project yields more present cash flows.
Requirement C
A firm should generally have more confidence in answer b because money can produce more logical sense than a year. Yes, it is easy to understand how many years a company will need to get back its cash flow. Still, the present value of cash flows provides a more specific evaluation of how to utilize the initial investment.
