In Problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand function p2 + 2p + q = 49 at p =

Question

In Problem, p is in dollars and q is the number of units.
(a) Find the elasticity of the demand function
p2 + 2p + q = 49 at p = 6.
(b) How will a price increase affect total revenue?

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Mít Mít 5 months 2021-08-30T06:44:29+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-08-30T06:45:44+00:00

    Answer:

    -14

    Explanation:

    Elasticity of demand is the degree of change in demand after a change I’m price, basically demand’s sensitivity to price change.

    Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

    Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

    2p+2+dq/dp=0

    dq/dp=-2p-2

    Given p =6, we substitute:

    dq/dp=-2×6-2

    dq/dp=-12-2

    dq/dp=-14

    With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

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