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:
ROE would have changed by 8.52%
Explanation:
First we calculate the current ROE using Dupont Equation which gives ROE as,
ROE = Net Income/Sales * Sales/Total Assets * Total Assets/Equity
or
ROE = Net Profit Margin * Total Assets Turnover * Equity Multiplier
- Current ROE = 10600/295000 * 1.4 * 1.75 = 0.0880 or 8.8%
The condition says that the net income could have increased to 20850 but other factors will remain constant. Thus, to calculate new ROE, we will calculate the new Net Profit margin but the total assets turnover and the equity multiplier will remain constant as sales assets and capital structure is not changing.
- New ROE = 20850/295000 * 1.4 * 1.75 = 0.17316 or 17.32%
- The ROE would have changed by 17.32 - 8.80 = 8.52%
"Sweater" is the factor that is most likely influencing the decision to wait because it probably isn't cold enough for a sweater yet (I think?)
The seasonal sales indexes for the Black Lab ski resort are 1.20 for January and .80 for December. If December sales in 1998 were $5,000, a reasonable estimate of sales in January 1999 is $7,500.
(1.20 * 5000) % .80 = 7,500.
Sales are actions related to selling or the number of products sold in a specific time period. A sale is also defined as the provision of a service for a fee. The seller, or the provider of the products or services, completes a sale in response to an acquisition, appropriation, requisition, or direct interaction with the customer at the point of sale. The item's title (property or ownership) is transferred, and a price is agreed upon. The seller, not the purchaser, normally executes the sale, and it may be done prior to the obligation of payment.
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Answer:
D $302, 250
Explanation:
The computation of the total amount paid is shown below;
Total amount paid = Face value + accrued interest
= $300,000 + $300,000 × 3% × 3 months ÷ 12 months
= $302,250
hence, the total amount paid is $302,250
Therefore the correct option is d.
We simply applied the above formula so that the correct value could come
And, the same is to be considered
