The profit function of our firm is a piecewise function depending on 2 goods: TI(Q₁, Q₂) = AQ² - 30 +0102 + 3501 +8202 - 245 if Q₁ ≤ 5 Unfortunately, we don't know have any information about the profit function when Q₁>5. As we don't have any information when the quantity produced of good 1 is greater than 5, we use the total differential equation to make estimations when Q1>5. Currently, we are producing 5 units of good 1 and 10 units good 2. a) What is the value of A knowing that our estimation of profit, using total differential equation, is 500 when Q₁=7 and Q₂=10? A = b) Assuming that we still produce 5 units of good 1 and 10 units of good 2. Using total differential equation, how many units of good 1 should we produce total to increase profit by 38% if we decrease production of good 2 to 8 units? (If needed, round your answer to 2 digits after the decimal point). Q₁=
The profit function of our firm is a piecewise function depending on 2 goods: TI(Q₁, Q₂) = AQ² - 30 +0102 + 3501 +8202 - 245 if Q₁ ≤ 5 Unfortunately, we don't know have any information about the profit function when Q₁>5. As we don't have any information when the quantity produced of good 1 is greater than 5, we use the total differential equation to make estimations when Q1>5. Currently, we are producing 5 units of good 1 and 10 units good 2. a) What is the value of A knowing that our estimation of profit, using total differential equation, is 500 when Q₁=7 and Q₂=10? A = b) Assuming that we still produce 5 units of good 1 and 10 units of good 2. Using total differential equation, how many units of good 1 should we produce total to increase profit by 38% if we decrease production of good 2 to 8 units? (If needed, round your answer to 2 digits after the decimal point). Q₁=
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter10: Monopolistic Competition And Oligopoly
Section: Chapter Questions
Problem 16CTQ: Would you rather have efficiency or variety? That is, one opportunity cost of the variety of...
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