Acme Home Lending offers home equity loans up to 80% of the home value for its customers. If Sally Johnson has a home valued at
1 answer:
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Answer:
Net present value = $2063.1922
Explanation:
given data
initially costs = $40,500
cash flows = $34,500
final cash inflow = $12,000
required rate of return = 18.5 percent
solution
The cash flows is
Year 0 = $40500
Year 1 = $0
Year 2 = $0
Year 3 = $34500
Year 4 = $34500
Year 5 = $0
Year 6 = $12000
so Net present value will be express as
Net present value = -Initial cash outflow + Present value of future cash flows ...............1
Present value of future cash flows = (cash flow in year n) ÷ (1 + required rate of return)^t ..........................2
put here value we get
Present value =
Present value = $42563.1922
Net present value= -$40500 + $42563.1922
Net present value = $2063.1922
Answer:
The total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is <u>C(x) = 0.004x^2 + 90x + 8,500</u>.
Explanation:
Given,
C '(x) = 0.008x + 90 ................................... (1)
To obtain the the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month, we obtain the integral of equation (1) as follows:
C(x) = (0.008 / 2) x^2 + 90x + F
C(x) = 0.004x^2 + 90x + F .......................... (2)
Where F is the constant.
Since total cost is the addition of the total cost and total variable cost, the F in equation (2) represents the total fixed cost per month.
Since the fixed costs incurred by Carlota are $8500/month, this implies that F = 8,500.
Substituting F = 8,500 into equation (2), we have:
C(x) = 0.004x^2 + 90x + 8,500 <-------------- Total cost per month
Therefore, the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is <u>C(x) = 0.004x^2 + 90x + 8,500</u>.