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:
Diluted earnings per share is $2.87
Explanation:
The extent to which the option would dilute the earnings per share to the extent of the difference between the option of price and the share market price.
The shares that are capable of dilute the earnings can be computed thus:
Market price-option price/market price*outstanding options shares
market price is $36
option price is $30
outstanding options shares is 12,600
($36-$30)/$36*12,600=2,100 shares
Diluted earnings per share=$602,000/(208,000+2100)=$2.87
Answer:
$648,000
Explanation:
Given that;
Net income = $360,000
Interest expense = $72,000
Times interest earned = 10
Net Income + Interest expense + Tax expense ÷ Interest expense = Times interest earned.
($360,000 + $72,000 + Tax expense) /$72,000 = 10
Tax expense = $288,000
Therefore;
Sunderland's income before taxes for the year
= Net income + Tax expense
= $360,000 + $288,000
= $648,000
Answer:
The correct answer is letter "D": one.
Explanation:
After graduation from college, <em>young professionals should enroll in one professional program</em> at least so whenever they present their resume to companies, with their <em>memberships</em>, they show they are interested in following a path career in their field of study. This will let employers have an idea of the type of person they are dealing with and are likely to get the impression the young professional is taking the application seriously.
By its target market, Foot's shoes seen as : Heterogeneous shopping products.
The company's product has a unique product that differentiate the product with others.
This will make the product very hard to substitute
