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
The main thing Vinnie did wrong was have multiple credit cards, and it say sin the question 'had fun with them' he probably did not monitor how much money he was spending.
Answer:
She should invest $300,000 in Project A, and $200,000 in Project B.
Explanation:
Solution
Since Project B yields a higher return, she should invest as much money as possible in it, which is 40% of the total investment or
or (0.40)($500,000) = $200,000
so
The remaining $500,000 - $200,000 = $300,000 should be invested in Project A.
Therefore, she should invest $300,000 in Project A, and $200,000 in Project B.
<span>When downsizing employee the most effective method I feel will be to based the decision on facts or documented evidence that may be difficult to dispute. The source of data can be used maybe the last few performance appraisal results, absenteeism , productivity rate and other soft skills to measure suitability to the job. Create a matrix identifying the criteria and measure the grade of each employee based on the criteria. In a way this is a measured evaluation.
The least effective i would think are those decisions based on emotional considerations.</span>
