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:
The inventory TO is 3.6875
Explanation:
where:
Considering there is not sufficient information to calculate the begining inventory <u>we are going to work only with the ending inventory </u>so:
The inventory TO is 3.6875 This means the company sales their inventory almost 4 times per year.
Answer:
Merger premium per share is equal to $2
Explanation:
Step 1. Given information.
- 1500 shares outstanding
- market price of 22
- Blackstone has 2.500 shares
- Outstanding price 38
- Blackstone acquire Rudy's for $36.000
Step 2. Formulas needed to solve the exercise.
Merger premium per share = (Blackstone acquire Rudy's /shares outstanding) - market price
Step 3. Calculation.
Merger premium per share = ($36,000/1,500) - $22 = $2
Step 4. Solution.
Merger premium per share is equal to $2
Answer:
c. They generally represent items that need to be created in order to produce the final deliverables.
Explanation:
Work Breakdown Structure (WBS) is a tool that the project manager uses to progressively divide deliverables into smaller pieces. It gives framework that can be used as a basis for further planning activities. They are displayed in an indented outline format.
Answer: attached to other houses in a long row in a building that is owned by a landlord housing owned by shareholders.
An apartment is a row of houses with one common entrance and a hallway. It belongs to one building wherein the rows of apartment are attached and is managed by landlords.
