Answer:
a. 10.04%
b. $82.78
Explanation:
In this question, we apply the Capital Asset Pricing Model (CAPM) formula which is shown below
a. Expected rate of return or market capitalization = Risk-free rate of return + Beta × (Market rate of return - Risk-free rate of return)
= 5% + 0.72 × (12% - 5%)
= 5% + 0.72 × 7%
= 5% + 5.04%
= 10.04%
The Market rate of return - Risk-free rate of return) is also known as the market risk premium and the same is applied.
b. Now the intrinsic value would be
= Expected dividend ÷ (Required rate of return - growth rate)
= $5 ÷ (10.04% - 4%)
= $5 ÷ 6.04%
= $82.78
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: Sunk Cost
Explanation:
A sunk cost is an expense which a company or entity has already incurred and which cannot be recovered and so should not be considered when making decisions regarding incremental benefits or costs to an investment.
The $48 had already been incurred to produce the defective units and cannot be recovered so it is a sunk cost that should not be considered moving forward.
