Step 7 Then when 3 units are produced and sold, the price per unit is 189 dollars, and the total profit is maximized. Recall now that at unit price p₂ and quantity x₂ units, the consumer's surplus CS (which is the total gain for those x2 customers willing to spend more than p₂ dollars for x₂ units) is given by CS = - ( [*² f(x) dx) - the equation for the demand curve. Write the integral for the consumer's surplus when x2 equation p = -2x² demand CS = ܘܢ = 3 units, P2 - 3x + 216. The consumer's surplus, in dollars, is the following. (-2x²-3x + 216) dx) f(x) dx-X₂P₂, where p = f(x) is 216) dx) - 3 ( [ = 189 dollars, and f(x) is the right side of the given
Step 7 Then when 3 units are produced and sold, the price per unit is 189 dollars, and the total profit is maximized. Recall now that at unit price p₂ and quantity x₂ units, the consumer's surplus CS (which is the total gain for those x2 customers willing to spend more than p₂ dollars for x₂ units) is given by CS = - ( [*² f(x) dx) - the equation for the demand curve. Write the integral for the consumer's surplus when x2 equation p = -2x² demand CS = ܘܢ = 3 units, P2 - 3x + 216. The consumer's surplus, in dollars, is the following. (-2x²-3x + 216) dx) f(x) dx-X₂P₂, where p = f(x) is 216) dx) - 3 ( [ = 189 dollars, and f(x) is the right side of the given
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:Step 7
Then when 3 units are produced and sold, the price per unit is 189 dollars, and the total profit is maximized.
Recall now that at unit price p₂ and quantity X₂ units, the consumer's surplus CS (which is the total gain for those
where p = f(x) is
x2
customers willing to spend more than p₂ dollars for X₂ units) is given by CS =
= ([^² f(x) dx) -
X₂P2¹
the equation for the demand curve.
Write the integral for the consumer's surplus when X2 = 3 units, P₂ = 189 dollars, and f(x) is the right side of the given
demand equation p = -2x2-3x + 216. The consumer's surplus, in dollars, is the following.
CS = 6/671-2
Submit
dx) - 3(
(-2x² - 3x + 216) dx
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