Answer:
Suppose the cost per hour incurred in operating a cruise ship is 3a + b
dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)
<em>The speed at which the ship would maximize cost is </em>![\sqrt[3]{\frac{3a}{2b} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3a%7D%7B2b%7D%20%7D)
Explanation:
The problem can be solved using differentiation to get the minimum value of the speed to travel between the two ports. Step by step calculation is contained in the attached images;
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Answer:
the average annual economic growth rate in Taiwan from 1961 to 1981 was 41.42%
Explanation:
Hi, we need to use the following formula.

Where:
FV = GDP in 1981 ($1,000)
PV = GDP in 1961 ($500)
r = growth rate
t = years from 1981 to 1961 (20 years)
So, it should look like this:

Now, we solve for "r"


![\sqrt[20]{2} -1=r](https://tex.z-dn.net/?f=%5Csqrt%5B20%5D%7B2%7D%20-1%3Dr)

So, the growth rate of Taiwan´s GDP is 41.42%
Best of luck.
Answer:
The answer is economies of scale .
Explanation:
Government license, patents and public franchise are all forms of legal barriers that prevents new entrants from copying, imitating or entering the market. However, economies of scales are a economic barrier that arises due to the scale of operations of a firm and is not a legal barrier.
Answer:
a). $12,850 b.) 550
Explanation:
a). Shareholder equity
The shareholder equity consists of the shareholder capital contributions plus the retained earnings. calculating the shareholder's equity is through the formula shareholder equity = total assets -total liabilities
In this case,
Total assets = $5,000,+ $23,300= $28,300
Total liabilities = $4,450 + $11,000 + $15,450
Shareholder equity = $28,300 -$15,450 = $12,850
b). Net working capital
Net working capital is the difference between current assets and current liabilities. i.e., net working capital is current assets - current liabilities
current asset = $5000
Current liabilities = $ 4,450
Net working capital; = $5,000 - $4,450= $550