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sergeinik [125]
3 years ago
15

You can now sell 40 cars per month at $20,000 per car, and demand is increasing at a rate of 3 cars per month each month. What i

s the fastest you could drop your price before your monthly revenue starts to drop
Business
2 answers:
MArishka [77]3 years ago
3 0

Answer:

More than $1500 price per car per month has to be dropped.

Explanation:

Given:

price per car = $20,000

car sale per month = 40

rate of increase in demand = 3

Solution:

Revenue R = Price × Quantity = P * Q

From the above given data

P = 20,000

Q = 40

R = P*Q

dQ/dt = 3

We have to find the rate at which the price is to be dropped before monthly revenue starts to drop.

R = P*Q

dR/dt = (dP/dt)Q + P(dQ/dt)  

          = (dP/dt) 40 + 20,000*3 < 0

          = (dP/dt) 40 < 60,000

         = dP/dt < 60000/40

         = dP/dt < 1,500

Hence the price has to be dropped more than $1,500 before monthly revenue starts to drop.

Goryan [66]3 years ago
3 0

Answer:

For the monthly revenue starts to drop, the price of the car has to drop more than $1500

Explanation:

Given that:

Price of a car = $20,000

quantity = 40

demand rate = 3

the fastest you could drop your price before your monthly revenue starts to drop can be calculated by using the formula

R = P × Q

i.e themontly  revenue function R is the product of the price per unit P  times the number of units sold Q

Differentiating with respect to time; we have :

\dfrac{dR}{dt}=(\dfrac{dP}{dt} )Q+P(\dfrac{dQ}{dt})

(\dfrac{dP}{dt} )40+20000 \times 3

(\dfrac{dP}{dt} )40+60000

(\dfrac{dP}{dt} )40

(\dfrac{dP}{dt} )

(\dfrac{dP}{dt} )

Therefore; For the monthly revenue starts to drop, the price of the car has to drop more than $1500

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Answer:

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Explanation:

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Equity proportion: 1,500,000  30% =    (450,000)

                           Goodwill                         75,000

Transactions during the year:

income 60,000 x 30% =  18,000

dividends 15,000 x 30% = (4,500)

unrealized profit 2018:

30,000 = cost (1.25)

30,000 / 1.25 = 24,000

gross profit 6,000

unrealized gain: 6,000 x 30% = (1,800)

unrealized profit 2019:

40,000 = cost (1.25)

40,000/1.25 = cost

cost = 32,000

gross profit: 40,000 - 32,000 = 8,000

proportion of unrealized gain:

                   8,000 x 30% =      (2,400)

profit for 2018 realized              1,800

                    net adjustment        600

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<u>income from investee:</u>

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Answer:

48.65%

Explanation:

Given Income are written in increasing order

First Quintile        10,000  12,000

Second Quintile  16,000   18,000

Third Quintile      24,000  24,000

Fourth Quintile    36,000  50,000

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Second Quintile  16,000   18,000         34,000           9.19

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