The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
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Answer: The free- rider problem
Explanation:
The free-rider problem is one off the type of economical issue that cause the market failure problem due to the unsystematic distributing of the various types of goods resources and also the services.
This type of problem is basically occur due to the overuse or degradation of the products and the resources.
According to the given question, the free rider problem is one of the example that best illustrating the given scenario. The main cause of the free rider problem is due to the unequal use of the resources and also the public goods without paying for their particular share.
Therefore, The free-rider problem is the correct answer.
Answer:
Net operating income= 341,000
Explanation:
We need to use the following structure:
Gross profit= sales - cost of goods sold
Net operating income= Gross profit - other expenses (variable and fixed)
<u>Under the absorption costing method, the cost of goods sold incorporates the fixed overhead.</u>
Sales= 980,000
COGS= (116,000 + 266,000)= (382,000)
Gross profit= 598,000
Fixed selling and administrative costs= (116,000)
Variable selling and administrative costs= (141,000)
Net operating income= 341,000
Answer:
Gross investment will be equal to $175 billion
Explanation:
We have given nation's capital stock at the start = $200 billion
And capital stock at the end = $350 billion
Consumption of private fixed capital in the year = $25 billion
We have to find the gross investment
Gross investment is equal to
Gross investment = Capital stock at the end of the year + consumption of private fixed capital - Capital stock at the starting of the year
= $350+$25-$200 = $175
So gross investment will be equal to $175 billion
