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) = ![\frac{d[14,000.ln(0.01x+1)]}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B14%2C000.ln%280.01x%2B1%29%5D%7D%7Bdx%7D)
Using the chain rule, the derivative will be:
f'(x) = 14,000.![\frac{0.01}{0.01x+1}](https://tex.z-dn.net/?f=%5Cfrac%7B0.01%7D%7B0.01x%2B1%7D)
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![\frac{0.01}{0.01.110+1}.1](https://tex.z-dn.net/?f=%5Cfrac%7B0.01%7D%7B0.01.110%2B1%7D.1)
dy = ![\frac{140}{2.1}](https://tex.z-dn.net/?f=%5Cfrac%7B140%7D%7B2.1%7D)
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
1. ANSWER: 20,000
2. ANSWER: $400,000
3. ANSWER: $28.45
Explanation:
1. If the average price for a new disposable cell phone is $20, and the total market potential for that product is $4 million;and Topco, Inc. has a planned market share of 10 percent. Then, Topco have the potential to sell in this market 10% * $4 million / $20 = 20,000 units of the proposed cell phone.
2. The planned market share in dollars is 10% * $4 million = $400,000
3. If Atlantic Car Rental charges $29.95 per day to rent a mid-size automobile. Pacific Car Rental, Atlantic's main competitor, just reduced prices on all its car rentals. In response, Atlantic reduced its prices by 5 percent.
Now Atlantic's new cost of rental for mid-size cars is: 95% of $29.95 = $28.45
Answer:
A) Country 1's PPF lies further to the right than country 2's PPF.
Explanation:
Production Possibility Curve shows the combination of two goods, that an economy can produce - by utilising given resources & technology best efficiently.
If country 1 produces twice the output of both goods compared to country 2. Then, country 1's PPF would lie further to the right than country 2's PPF. As, more quantities implies rightward shifted PPC, signifying more quantities of goods that can be produced.
Efficient or inefficient production leads to production inside or on PPC, doesn't shift PPC. Population change is also irrelevant in this case.
Answer:
Credit is the provision of money or bills, based on a loan agreement between the bank and another party that requires the borrower to carry out the amount of interest in return
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