3. Suppose that for a product in a competitive market the demand function is p = 1200 – 2x and the supply function is p = 200 + 2x, where x is the number of units and p is in dollars. A firm's average cost function for this 12000 product is Č(x) + 50 + x. Find the maximum profit. Sketch the graphs of the revenue, cost and profit functions on the same set of coordinate axes. (Hint: First find the equilibrium quantity and equilibrium price by equalizing the functions of supply and demand.) [P(x) = R(x) – C(x) = p · x – Č(x)•x,where p = %3D equilibrium price.]

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. Suppose that for a product in a competitive market the demand function is p
function is p = 200 + 2x, where x is the number of units and p is in dollars. A firm's average cost function for this
product is C(x) =
= 1200 – 2x and the supply
12000
+ 50 + x. Find the maximụm profit. Sketch the graphs of the revenue, cost and profit
functions on the same set of coordinate axes.
(Hint: First find the equilibrium quantity and equilibrium price by equalizing the functions of supply and demand.)
[P(x) = R(x) – C(x) = p· x – C(x) · x, where p
equilibrium price.]
Transcribed Image Text:3. Suppose that for a product in a competitive market the demand function is p function is p = 200 + 2x, where x is the number of units and p is in dollars. A firm's average cost function for this product is C(x) = = 1200 – 2x and the supply 12000 + 50 + x. Find the maximụm profit. Sketch the graphs of the revenue, cost and profit functions on the same set of coordinate axes. (Hint: First find the equilibrium quantity and equilibrium price by equalizing the functions of supply and demand.) [P(x) = R(x) – C(x) = p· x – C(x) · x, where p equilibrium price.]
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