Question: Please Solve it. Given the demand function and the price function as follows: Q =100 - 5P P = 20-0.2Q Problem: 1. Compute equilibrium price

Please Solve it.

Please Solve it. Given the demand function and the price function as

Given the demand function and the price function as follows: Q =100 - 5P P = 20-0.2Q Problem: 1. Compute equilibrium price and quantity. 2. Derive the marginal revenue function. 3. Establish the relationship amongst Relationship amongst Price, Elasticity, AR, and MR 4. Compute the values of P, TR, MR, and Ep for the given values of Q. 5. Give your comments about the type of products. P TR AR MR EP 10 20 30 40 50 60 70 80 90 100 Relationship amongst Price, Elasticity, AR, and MR MR = ( (P.Q) = P.1 + Q. da dp = P( 1+2 de P . do =P (1 -) = AR (1 - ) Or, MR = AR (1 - =) ; Or, Ep AR AR-MR MR = P (1 - ) using this relationship the decision makers can easily understand whether it is beneficial to change the price. If ep=1, MR = 0. Therefore, change in price will not cause any change in TR. If ep 1 , MR > 0 , TR increases if price decreases and vice versa

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