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For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel

Andreas93 [3]

Answer:

Note: While answering this question, there is a confusion as to whether the correct demand equation is p= 157 − x2 as it appears in the question, or p= 157 − x^2 which is suspected to be the correct equation. Whichever the case may be, answers are provided for the two equations. Just confirm from the original question or your teacher which one is correct and pick the relevant answer out of the two following answers:

1. If p= 157 − x2 is the correct equation:

Elasticity of demand = - 0.15

Since -0.15 in absolute term |-0.15| is less than 1, the demand is inelastic.

2. If p= 157 − x^2 is the correct equation:

Elasticity of demand = - 0.28

Since -0.28 in absolute term |-0.28| is less than 1, the demand is also inelastic.

Explanation:

Elasticity of demand is the degree of responsive of quantity demanded of a good to change in its price.

For this question, elasticity of demand can be computed using the formula for calculating the elasticity of demand as follows:

1. If p= 157 − x2 is the correct equation

E = Elasticity of demand = (p / x) * (dx / dp) ............................... (1)

From the question, we have:

p = 157 − x2.

Therefore, we solve for as follows:

x2 = 157 - p

x = (157 - P) / 2

x = 78.5 - 0.5p ....................................................... (2)

Differentiating equation (2) with respect to p, we have:

dx/dp = -0.5

Substituting values for dx/dp and x into equation (1), we have:

E = [p / (78.5 - 0.5p)] * (-0.5)

Since p = 20, we have:

E = [20 / (78.5 - (0.5 * 20))] * (-0.5)

E = [20 / (78.5 - 10)] * (-0.5)

E = − 0.15

Since -0.15 in absolute term |-0.15| is less than 1, the demand is inelastic.

2. If p = 157 − x^2 is the correct equation

E = (p / x) * (dx / dp) ............................................ (1)

From the question, we have:

p = 157 − x^2.

Therefore, we solve for as follows:

x = 157^(1/2) – p^(1/2)

x = 157^0.5 – p^0.5 ........................................... (2)

Differentiating equation (2) with respect to p, we have:

dx/dp = -0.5p^(-0.5) = -0.5/p^0.5

Substituting values for dx/dp and x into equation (1), we have:

E = (p / x) * (dx / dp)

E = [p / (157^0.5 – p^0.5)] * [ -0.5/p^0.5]

Since p = 20, we have:

E = [20 / (157^0.5 – 20^0.5)] * [–0.5/20^0.5]

E = - 0.28

Since -0.28 in absolute term |-0.28| is less than 1, the demand is inelastic.

4 0

2 years ago

Michael Barry, Attorney, P.C. began the year with total assets of $126,000, liabilities of $74,000, and stockholders’ equity of

goldenfox [79]

Answer:

The expenses can be recorded as follows;

Debit to the expenses of $33,000 and a credit to the cash account of $33,000.

Explanation:

The accounting equation is an equation that tends to balance a company's assets on one side and the sum of its liabilities and shareholders equity on the opposite side of the equation. It form the basis for the double-entry system in accounting that includes an accounts debit and credit. The debit is a sum to an amount that is owed, it is usually listed on the left hand-side of an account while the credit is a listing of a sum that is received usually on the right hand side of an account.

In the case of Michael Barry, the accounting equation;

Assets=liabilities+stockholders equity

Assets=$126,000

Liabilities=$74,000

Stockholders equity=$52,000

liabilities+stockholders equity=74,000+52,000=$126,000

The assets equals the sum of the liabilities and stockholders equity.

To record expenses paid of $33,000;

Debit Credit

Expenses $33,000

Cash $33,000

3 0

3 years ago

Sheela Dairy Corporation buys unprocessed cows' milk from local farmers. At the dairy, this unprocessed milk is broken down into

Dafna11 [192]

Answer:

The answer is D) None of these statement is relevant in the decision to further process the cream into butter.

Explanation:

option A) the amount paid to the farmers to purchase the unprocessed milk: this information is not relevant to further develop the cream and low fat milk to butter. It was already considered before this stage of production.

Option B) the cost of breaking down the unprocessed milk into cream and low-fat milk: this cost was already accounted for since the processing into cream and low fat milk is completed.

Option C) the portion of corporate fixed expenses that are currently being allocated to cream: This information is not going to help in the decision making for further processing.

8 0

2 years ago

When determining the value of raw land, there is a relatively fixed amount of _________; therefore, the value of land is primari

Ilya [14]

<span>When determining the value of raw land, there is a relatively fixed amount of supply; therefore, the value of land is primarily determined by demand?

Because land isn't something we can just add in to the world, there is a fixed amount of supply available to us as a resource. When the supply becomes scarce, it is easy for the value of land to go up because if demand is high and there is a low amount the price can be higher since there is less competition of the same. </span>

7 0

2 years ago

Economic growth depends on many factors. mark the three KEY elements that have been shown to be important listed

Eva8 [605]

Answer:

is d

Explanation:

4 0

3 years ago