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:
Option (D) is correct.
Explanation:
Given that,
During a year,
Firm's gross investment = $2,000
Firm's net investment = $1,600
Firm's depreciation = ?
Therefore,
Gross investment = Net investment + Depreciation
$2,000 = $1,600 + Depreciation
$2,000 - $1,600 = Depreciation
$400 = Depreciation
Hence, the firm's depreciation is $400.
Answer:
authoritarian model in which the management only focus on its production and profits but neglect it's workers, or the community. it had less people skills but strong on tasks-related goals
Answer:
B) not grant specific performance because it is a personal service.
Explanation:
Since painting a mural is considered a personal service, the court will probably not grant specific performance. The reason why specific performance is not granted is that the defendant might perform his/her job poorly below regular standard. In other words, Bryan could paint an awful mural.
Usually courts will remedy a breach of contract involving personal services through monetary compensation.
Answer:
$3,860 will be needed to put into a tax-deferred retirement account every year if you plan on retiring in 40 years
Explanation:
Use Following formula to calculate the monthly payment required.
FV = P x [ ( ( 1 + r )^n ) - 1 ) / r ]
FV = Future Value = $1,000,000
R = RATE OF RETURN = 8%
N = NUMBER OF YEARS = 40 YEARS
P = Monthly Payment
$1,000,000 = P x [ ( ( 1 + 0.08 )^40 ) - 1 ) / 0.08 ]
$1,000,000 = P x [ ( ( 1.08 )^40 ) - 1 ) / 0.08 ]
$1,000,000 = P x 259.06
P = $1,000,000 / 259.06
P = $3,860.16