Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
Once a company reaches 50 or more employees, and meets any of the below criteria, it has 120 days to create an Affirmative Action Plan. Every year the company remains larger than 50 employees and meets the federal contracts guidelines listed below, it is required to update the plan to track changes in employee population and employee transactions.
In some instances, companies are required to implement an Affirmative Action Plan without a direct government contract. If government contractors purchase at least $50,000 worth of goods to fulfill their obligations on a government contract, then the goods’ seller is also subject to the OFFCP’s laws.
A prime example is a hardware company which sells screws to a company that builds Navy submarines. Although there’s no direct contract with the government for the hardware company, accepting the order as part of a government contract makes it a bill of lading, and if it exceeds $50,000 total revenue on those deals, then both sides must comply with Affirmative Action law.
Answer:
Option B,
The higher the degree of financial leverage employed by a firm, THE HIGHER THE PROBABILITY THAT THE FIRM WILL ENCOUNTER FINANCIAL DISTRESS.
Explanation:
The degree of financial leverage (DFL) is a leverage ratio that measures the sensitivity of a company's earnings per share to fluctuations in it's operating income, as a result of changes in its capital structure.
This ratio indicates that the higher the degree of financial leverage, the more volatile earnings will be.
The use of financial leverage varies greatly by industry and by the business sector. There are many industry sectors in which companies operate with a high degree of financial leverage (examples are retail stores, grocery store, banking institutions, airlines...). Unfortunately, the excessive use of financial leverage by many companies in this sector has played a major role in forcing a lot of them to file for bankruptcy.
Therefore, if the degree of financial leverage employed by a firm is high, then the probability that the firm will encounter financial distress will also be high.
Answer:
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Explanation:
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