Answer to Question #125481 in Microeconomics for Venom

Question #125481
If TC = 150 + 2Q + 0.01Q^0.5
Find marginal and average cost at 50 units input
1
Expert's answer
2020-07-07T12:43:30-0400

a.Marginal cost when q= 50


Mc=dTcdqMc={d_{Tc}\over d_q}

Mc=2+0.05q0.5Mc=2+0.05q^{-0.5}



Mc=2+0.05(50)0.5Mc= 2+0.05(50)^{-0.5}


Mc=2.0007071Mc=2.0007071

b.Average cost when q= 50


Avc=TcqAvc={Tc\over q}


Avc=150+2q+0.001q0.5qAvc={{150+2q+0.001q^{0.5}}\over q}

150q+20.005q1.5{150\over q}+2-{0.005\over q^{1.5}}

15050+20.005501.5{150\over 50}+2-{0.005\over 50^{1.5}}


3+20.000014143+2-0.00001414

4.999985864.99998586


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