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:
correct option is A. $145
Explanation:
given data
investment cost = $2900
interest rate = 5% per year
solution
formula for present value of perpetuity is
investment cost = fixed cash saving per year ÷ interest rate ..................1
put her value we get fixed cash saving per year that is
saving per year cost = $2900 × 5%
saving per year cost = $2900 × 0.05
saving per year cost = $145
so correct option is A. $145
At December 31, bright should record interest revenue of $100. Money gained by lending money or money acquired from depositing or investing can both be referred to as interest revenue.
Is interest revenue a liability or an asset?
If a company anticipates receiving the interest payment within the year, it typically records the interest receivable as a current asset on its balance sheet. Companies that collect interest from loans view this revenue as a significant source of income that belongs at the top of the income statement. It is the price of taking out a loan from a bank, financial institution, bond buyer, or another lender. In order to assist a business finance its operations, such as the acquisition of rival businesses or machinery, plant, and property, interest expense is incurred.
To learn more about interest revenue, refer to:
brainly.com/question/27992328
Answer:
c. The present value of the perpetuity has to be higher than the present value of either the ordinary annuity or the annuity due
Explanation:
Considering the following statements:
- the ordinary perpetuity, the payments must occur on the first day of each monthly period. Hence this statement is incorrect.
- The ordinary annuity would be more valuable than the annuity due if both had a life of 10 years. Incorrect.
- In case of perpetuity the times is not limited, hence would get the higher return.
Answer:
D
Explanation:
Profit is Maximize when MR = MC
since MR=40 - 0.5Q
and MC= 4
Therefore:
40-0.5Q = 4
-0.5Q = 4 - 40
-0.5Q= -36
divide through by -0.5
Q = 72
since Q = 72
from Q = 160 - 4p
72 = 160 - 4P
-4p = 72 - 160
-4P = -88
divide through by -4
P = 22