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
Answer: judgemental appraisal method.
Explanation: judgemental appraisal method is a form of performance appraisal—a systematic, general and periodic process that assesses an job performance and productivity of employees in comparison to certain pre-established criteria and organizational objectives. The judgmental appraisal method is applied when assessing individual employee's job performance and productivity in areas that are difficult to measure. Vast majority of information gathered and delivered using this technique is subjective though there may be some parts that are objective.
By requesting that each subordinate be rated (performance evaluation) according to how closely the appraisal (pre-determined criteria) describes the employee, the company new form is an example of a judgmental appraisal method.
Answer:
A) price will increase and quantity increase.
Explanation:
An increase in demand means more customers are willing and can afford to buy a product. Holding the other factors constant, an increase in demand results in many potential buyers chasing very few goods. The competition for the few goods leads to an increase in their prices. The equilibrium point moves up the graph to a new higher position as a result of an increase in demand.
As per the law of supply, quantity supplied increases as prices rise. Profit motives drive all business establishments. As prices increase due to increased demand, suppliers will be motivated to supply more to take advantage of high prices.
Answer:
The correct answer is d. Economists strongly agree with the first claim, but are skeptical of the second.
Explanation:
A mutual fund is an investment alternative that consists of contributions from natural and legal persons (called participants or contributors), to form equity for their investment in shares, debt instruments or fixed income, or a combination of both ( shares + fixed income). They offer a diversified investment alternative since they invest in numerous instruments at the same time. These instruments vary according to the type of fund and are defined by the investment policy regulated by the Superintendency of Securities and Insurance. They are managed by corporations called General Fund Administrators (AGF) that are chosen by the participants themselves. It is important to choose both the administrator and the type of fund based on what best suits each personal situation.