Sunshine Gardens determines the following demand function du

Sunshine Gardens determines the following demand function during early summer for tomato plants

Find:

a) find the elacticity

b) find the elacticity when x = 3

c) at $3 per plant, will a small increase in price cause total revenue to increase or decrease?

Please show steps so I can better understand :). Thanks.

Solution

Elasticity = (P/Q)dQ/dP

Q = 2x +300(10x +11) where x is price

So, dQ/dx =2 - 3000/(10x +11)^2

a) elasticity = 2 - 3000/(10x +11)^2

b) elasticity when x=3

elasticity = 2 - 3000/(30 +11)^2 = 0.215

c) at x= $3

elasticity means: It\'s the percentage change in quantity demanded that comes from a 1% change in the price.

As elasticity < 1If price goes up , the total revenue spending goes up.

Sunshine Gardens determines the following demand function during early summer for tomato plants Find: a) find the elacticity b) find the elacticity when x = 3 c

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