that a certain company sells each kg of the product it manufactures at $80, it is also known that the total manufacturing cost "CT" is given by the function CT=(1/1000)x2 +100 , where "x" are the kg of product produced. a) How many units of "x" must the company sell to break even? Value = 100 points. b) How many units of "x" is the optimal quantity that should be sold to optimize the producer's profit? Value = 100 points. c) How many monetary units does that optimal profit for

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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It is known that a certain company sells each kg of the product it manufactures at $80, it is also known that the total manufacturing cost "CT" is given by the function

CT=(1/1000)x2 +100 , where "x" are the kg of product produced.

a) How many units of "x" must the company sell to break even? Value = 100 points.
b) How many units of "x" is the optimal quantity that should be sold to optimize the producer's profit? Value = 100 points.
c) How many monetary units does that optimal profit for producers amount to? (remember, you will have to prove it mathematically either by the method of the first or by the method of the second derivative). Value = 100 points.

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