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:
RELATIVELY INELASTIC
more elastic
less
Explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.
Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one
Demand is unit elastic if a small change in price has an equal and proportionate effect on quantity demanded
If demand is relatively inelastic and price increases, there would be little or no change in the quantity demanded and as a result, total revenue would increase
If demand were elastic and prices were increased, quantity demanded would fall more than the increase in price. As a result, total revenue would fall
In the long run, people have more time to search for suitable alternatives. Thus, demand tends to be more elastic in the long run
If the long run, price is increased, the total quantity demanded would fall and revenue would fall
More information is needed to completely answer your question
Katrine doesn't understand all of the various aspects of automobile insurance and relies on her local independent State Farm Insurance agent to provide her with information. This agent acts as a(n) intermediary for State Farm.
Answer:
True
Explanation:
Chief financial officer is one of the key positions at any company or firm. Chief financial officer plays a critical role in managing cash, account receivable and inventory management. He/She is responsible for handling the cash and managing the cash in such a way to remove chances of bankruptcy and shortages. Overall, it is an important post to complete all the tasks related to cash handling and inventory.
