The research department for your company needs to carry out a web conference with a third party. The manager of the research dep
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Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) =
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy =
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
336,405.28
Explanation:
Present value can be found by discounting the cash flows at the discount rate.
Present value can be found using a financial calculator:
Cash flow from year 1 to 4 = 0
Cash flow from year 5 -25 = $70,000
Discount rate = 12%
Present value = $336,405.28
I hope my answer helps you
