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 correct answer is the option B: second-degree price discrimination.
Explanation:
To begin with, the term of price discrimination, in marketing and economics, refers to the action of charge different prices to different consumers for the same product that do not vary in quality. This concept states fourth differents degrees in order to use the most beneficial strategy to one's company.
To continue,<em> the second-degree price discrimination</em> establishes that companies price products differently based on the preferences of various groups of consumers and furthermore it is very common to <u>apply this type of discrimination through quantity discounts</u> and to add an example, is very common to use this strategy in <u>warehouse retailers such as Costco.</u>
Answer:
Monthly payment = $469.701
Explanation:
<em>Loan Amortization: A loan repayment method structured such that a series of equal periodic installments will be paid for certain number of periods to offset both the loan principal amount and the accrued interest. </em>
The monthly equal installment is calculated as follows:
Monthly equal installment= Loan amount/Monthly annuity factor
Loan amount = 20,000
Monthly annuity factor =
=( 1-(1+r)^(-n))/r
r- Monthly interest rate (r)
= 6/12= 0.5%
n- Number of months ( n) = 20 × 4 = 48
Annuity factor
= ( 1- (1.005)^(-48)/0.005= 42.5803
Monthly installment= 20,000 /42.5803 = $469.701
Monthly installment = $469.701
Monthly payment = $469.701
The systematic response coefficient from inflation, would result in a change in any security return of <u>3.2 βI</u>.
<u>Explanation</u>:
<em><u>Given</u></em>:
Expected rate of inflation = 3%
Actual rate of inflation = 6.2%
The change in security return can be calculated by obtaining the differences between actual and expected levels of inflation.
Change in security return= Actual rate of inflation- Expected rate of inflation
= 6.2%-3%
= 3.2%
<u>Change in security return= 3.2 βI
</u>
<u></u>
Answer:
18.29%
Explanation:
Return on Equity is the net profit available for equity/ Total equity value.
Total equity = Total assets - Total debt
= $90 million - $55 million = $35 million
Earnings for equity = Annual sales 
net profit margin 4%
= $160 million 4% = 6.4 million
Therefore, return on equity = 
= 
Therefore, ROE = 18.29%
