supplement ch12 20

supplement ch12 20 - AEB3510...

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AEB3510 Supplemental Integration Problems (Part 2) A. Solve the following 1. Suppose that a firm is facing a Marginal Revenue function equal to ( ) 40 0.01 MRx x =− , find the firm’s Total Revenue function. 2. Suppose a firm is facing the following Marginal Cost function, , find the firm’s Total Cost function. 2 ( ) 2 0.1 , (0) 8000 MC x x x given that TC = 3. Suppose a firm is facing a Marginal Cost function equal to 2 ( ) 0.003 0.6 40 MCQ Q Q + and assume that Total Fixed Cost is $6000. What is the firm’s Total Cost function, TC(Q) ? 4. Let Marginal Revenue for a firm equals ( ) 600 2.5 MRQ Q = , what is the firm’s Total Revenue function, TR(Q) ? B. Find the underlying functions for each of the following problems (OR find the following indefinite integrals given the boundary conditions): 1. 23 , ( 0 )5 y dy x given that dx = 2. '( ) 5 4 , (2) 14 f x x given that f = 3. 2 ( ) 6 5 , (0) 3000 MC x x = 4. ( ) 600 0.6 , (0) 0 MR Q Q given that TR = 5. 1 ,( 1 4 y ) dy given that dx x == 6. 2 1 , (1) 400 dy given that y dt t 7. 21 1 , ( 1 ) 0 = dy x x given that y dx −− =+− 8. 42 , ( 0 ) x dy e given that y
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supplement ch12 20 - AEB3510...

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