The price of corn starts at Pa = $11 per bushel and a quantity
230 bushels. If the price falls to P = $7 per bushel, what
is the new quantity demanded (Qb) if the slope of the demand curve is
m= = -1.2 and the y-intercept value b = 287?



Answer :

The the new quantity demanded (Qb) if the slope of the demand curve is 300 bushels

What is the price elasticity of demand using slope?

The price elasticity of demand using slope is the reciprocal of the slope bearing in mind that the price elasticity of demand is the percentage change in quantity over percentage change price

elasticity of demand=(new  quantity-old quantity)/old quantity/(new price-old price)/old price

elasticity of demand=1/-1.2

new quantity=Qb=unknown

old quantity=230

new price=$7

old price=$11

1/-1.2=(Qb-230)/230/(7-11)/11

1/-1.2*-4/11=(Qb-230)/230

0.303030303=Qb-230/230

0.303030303*230=Qb-230

70=Qb-230

Qb=70+230

Qb=300

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