question archive A garden shop determines the demand function during early summer for tomato plants, where is the number of plants sold per day when the price is dollars per plant

A garden shop determines the demand function during early summer for tomato plants, where is the number of plants sold per day when the price is dollars per plant

Subject:EconomicsPrice:2.88 Bought3

A garden shop determines the demand function during early summer for tomato plants, where is the number of plants sold per day when the price is dollars per plant.

(a) Find the elasticity.

(b) Find the elasticity when .

(c). At per plant, will a small increase in price cause the total revenue to increase or decrease?

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a) We have given

This implies

Therefore, the Elasticity of demand is equal to

 

b) To find the elasticity at x=5

This implies

 

c) Total revenue function is equal

 

Thus, if we slightly increase the value of x=5 then the total revenue function will also increase.