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2. A firms marginal cost function is: 20 to +Q² tot 1 MC = eve +03+- The firms fixed costs are 20. Determine the total cost

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Answer #1

2. As we know the integral of Marginal Cost (MC) plus Fixed Cost(FC) is equal to Total Cost (TC).

So, TC = FC + Mc.ao

So, TC- 2 + | ( ਬ + q ਜ) ਮਰ

TV = 20+ ..+| +|

Solving each Integral separately :-

First Part

S : V2.3Q =20

Let u = √Q

So, ou 1 aQ2vQ2u

So, 2иди = до

Substituting :-

20 / 09 – 20 / 5^2uðu – an fear and

We know, e. Du = e

So, 01201 = 1209 = nene | Op = Olona öz /

Second Part

| 8.00 = ਹਾਂ

Third Part

(I +)u1 = be 170

Finally we have :-

S v7.3Q+/Q*3Q+ / ©+79Q = 40v7+*+ n(Q + 1

So now,

TC = 20 + 40eve + Q + ln(Q + 1).

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