Answer:
$6.00
Explanation:
Given data
quantity demanded ( x ) ∝ 1 / p^3 for p > 1
when p = $10/unit , x = 64
initial cost = $140, cost per unit = $4
<u>Determine the price that will yield a maximum profit </u>
x = k/p^3 ----- ( 1 ). when x = 64 , p = $10 , k = constant
64 = k/10^3
k = 64 * ( 10^3 )
= 64000
back to equation 1
x = 64000 / p^3
∴ p = 40 / ∛x
next calculate the value of revenue generated
Revenue(Rx) = P(price ) * x ( quantity )
= 40 / ∛x * x = 40 x^2/3
next calculate Total cost of product
C(x) = 140 + 4x
Maximum Profit generated = R(x) - C(x) = 0
= 40x^2/3 - 140 + 4x = 0
= 40(2/3) x^(2/3 -1) - 0 - 4 = 0
∴ ∛x = 20/3 ∴ x = (20/3 ) ^3 = 296
profit is maximum at x(quantity demanded ) = 296 units
hence the price that will yield a maximum profit
P = 40 / ∛x
= ( 40 / (20/3) ) = $6
Answer:
6.816%
Explanation:
The real rate of return is nominal rate of return less inflation rate
(1 + nominal rate ) = (1 + real rate ) x (1 + inflation rate)
= 1.097 = real rate x 1.027 = 1.06816 - 1 = 0.06816 = 6.816%
I hope my answer helps you
Answer:
The correct answer to the following question is option B, which is best fits the company's strengths and weaknesses to opportunities in the environment.
Explanation:
The contributing and the collecting of services and the products which are provided by the company. Many of the businesses and the companies will busy in business portfolio analysis as their section of their strategic planning.
Business portfolio is important because it demonstrates your skills and it increases your building trust which means when he or she sees your quality work and it can develop the trust about your business and also it helps in minimizing keep rejection of our services and the product.
The correct option is C
<u>Explanation:</u>
The annual profit increase = $400,000
<u>The following formula is to be used in order to calculate the total profit enhancement in five years
</u>
The total profit increase in 5 years = 400000 multiply with 5 = $2,000,000 = $2 million
, As compared to cost of $1 million.
Thus, The correct option is answer (C) To take on the new salon because the expected marginal benefit ($2 million over 5-years) is greater than the estimated marginal cost ($1 million).
