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alexandr402 [8]
3 years ago
8

Here is a linear demand function: Q = 10 -0.5P. Find its price function by inverting the demand function. Then find its total re

venue function by multiplying through by Q. The linear demand function Q = 400 -250P inverts into the price function P = 1.6 -0.004Q. Multiplying this by Q gives its total revenue function TR = 1.6Q -0.004. Evaluate the following expression.
Y = 5(2X + 3)2 -2X2
Business
1 answer:
Dmitrij [34]3 years ago
7 0

Answer:

P = 20 - 2Q

Explanation:

Q = 10 - 0.5P

Price function can be estimated by inverting the demand function.

Q = 10 - 0.5P \\\\0.5P = 10 - Q\\P = 10/0.5 - Q/0.5 \\P = 20 - 2Q

This is the price function.

Total revenue function can be estimated using the given formula,

TR = P*Q \\     = (20 - 2Q) Q \\     = 20Q - 2Q^2

The linear demand function is given by,

Q = 400 - 250P \\

Price function is given by,

P = 1.6 - 0.004Q \\

Total revenue function is thus given by,

TR = P*Q \\      = 1.6Q - 0.004Q^2

Y = 5(2X+3)^2 - 2X^2 \\Y = 5(4X^2 + 9 + 12X) - 2X^2\\Y = 20X^2 + 45 + 60X - 2X^2\\Y = 18X^2 + 45 + 60X \\

The derivative of Y with respect to x is,

dY/dX = 36X + 60\\

Equating this equal to 0 we get,

36X + 60 = 0 \\36X = -60 \\X = -10/6 \\\\X= -1.66

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Blue Sky Company’s 12/31 balance sheet reports assets of $65,893 and liabilities of $28,686. All of Blue Sky’s assets’ book valu
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Answer:

Goodwill is $ 50,166.00  

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Goodwill is the excess of purchase price consideration over the fair value of net assets of the business acquired.

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Purchase price consideration is $97,109

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3 0
3 years ago
[The following information applies to the questions displayed below.]
makvit [3.9K]

Answer:

A. Dr Raw meat Inventory 120,000

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C. Dr Direct Materials $15,000

Cr Raw Materials $15,000

Explanation:

Preparation for the journal entries for the above transactions for the month of May.

Dr Raw meat Inventory 120,000

Cr Cash 120,000

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3 years ago
Explain corporate bond interest in terms of cost of capital versus investor yields. also, explain the municipal bond interest in
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The bond "reaches maturity" when it stops making payments and the initial investment is refunded.

The ability of the corporation to repay the bond often serves as its security, and this ability is based on its expectations for future revenues and profitability. Physical assets of the corporation may occasionally be utilized as collateral.

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2 years ago
Demand per hour for gasoline at a local station is normally distributed with a mean of 875 gallons and std deviation of 55 gallo
marusya05 [52]

The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5

<u>Given data :</u>

Mean value of gasoline per hour = 875 gallons

Standard deviation = 55 gallons

<h3>Determine the probability of demand being greater than 1800 gallons over 2 hours </h3>

Demand for gas in 1 hour = X₁

Demand for gas in 2 hours = X₁ + X₂

Therefore ; ( X₁ + X₂) ~ N ( u₁+u₂, sd₁² + sd₂² )

In order to  calculate probabilities for normals apply the equation below

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where : u = 1800, sd = √ ( 55² + 55² ) = 77.78

using the z-table

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Hence we can conclude that The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5.

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