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:
a) diluted earnings per share = 0
Explanation:
Diluted earnings per share (DEPS) is a recalculation of the basic EPS. The difference between DEPS and EPS is, EPS represents the current position of earnings per share. No changes in number shares and/or earnings in the future are incorporated in the basic EPS.
Whereas DEPS is a representation of not only the current position of earnings and shares but also includes the commitments an entity has already made whose occurrence may result in an increase/decrease in the amount of earnings and/or number of shares. For example, in the question Culver Company has issued 10-year convertible bonds which right now have no impact on basic EPS but if in the future these bond holders exercise their right of conversion, this would result in an increase in number of ordinary shares hence decreasing/diluting the basic EPS. The entities use DEPS to show shareholders the impact of such commitments on the basic EPS to improve their decision making.
So in 2017 none of the bonds were converted therefore no diluted earnings per share is calculated in 2017.
If all of the bonds were converted in 2017 the DEPS would have been calculated as follows:
The formula for calculating DEPS is as follows;
DEPS = (Net income + interest savings) ÷ number of ordinary shares + increase in ordinary shares as a result of conversion.
Tax savings as a result of conversion=$128400 ($2140000×6%). Because if bond holders convert into ordinary shares then Culver company will not have to pay them interest and hence the amount of interest is saved.
Increase in ordinary shares upon conversion= 29960 ($2140000÷$1000=2140 bonds. Each bond is convertible into 14 shares therefore, 2140×14=29960).
Now Lets calculate DEPS as follows;
DEPS = ($296000+$128400) ÷ 91000+29960
DEPS =$424400÷120960
DEPS = $3.5
Answer:
$27.14
Explanation:
Calculation for the price of the firm's perpetual preferred stock
Using this formula
Price of the firm perpetual preferred stock = Annual dividend / Required return
Where,
Annual dividend =$1.90
Required return=7% or 0.07
Let plug in the formula
Price of the firm perpetual preferred stock = $1.90 / 0.07
Price of the firm perpetual preferred stock=$27.14
Therefore the Price of the firm perpetual preferred stock will be $27.14
Before the times of the labor unions, both the employer and the employee reserved the right of employment at will, meaning either one could terminate the agreement at any time and for any reason.
The correct term for the situation proposed in the question is employment at will. The other options describe agreements that have arisen since the creation of the labor unions.
The first option, a closed shop, described an agreement made between the hiring party and the labor unions in which the hiring party agrees to <u>only hire members of the union</u>, while an open shop is just the opposite.
Collective bargaining, on the other hand, is the long process in which the workers of an institution work through their labor unions in order to <u>negotiate contracts </u><u>and the terms of </u><u>employment</u><u>, which include income and benefits. </u>
Therefore the only option that existed prior to the development of labor unions is employment at will, which allowed the termination of a contract at any time for any reason.
To learn more visit:
brainly.com/question/518131?referrer=searchResults
Answer:
Safety Needs
Explanation:
If Helène, an industrial sales representative, bought a cellular phone to use if she ever had car trouble while traveling between appointments. The level of Maslow’s need hierarchy that Helène is addressing is Safety Needs
It would have been 'Esteem needs' if Helene was just buying a phone to be in the same class with her friends or she is changing her phone to reflect her class.
However Helene is buying this phone because she wants to keep appointments which falls in the category of employments and hence is a 'Safety need'.
Safety needs in Maslow's hierarchy has to do with the need for security and protection. If Helene's car breaks down, it could also be a threat to her security if she is unable to call for help
