6. If the total cost function of a company is TC = 145+ 5Q + 3Q 2. Find the Fixed Cost, Marginal Cost, Average Cost and Total cost at the output level of 5 units.
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Fixed costs are costs that remain unchanged with changes in the quantity of goods demanded or supplied.
Variable Costs changes with the quantity of goods.
Given, C(Q)=3Q2+4Q+5
Here fixed Cost is 5.
Marginal cost is the change in the total cost due to one unit change in quantity of the good.
Thus, Marginal cost is given by,
MC=C′(Q)= dC(Q)dQ
Here,
MC= d(3Q2+4Q+5)dQ
MC=6Q+4
Answer:
FC=5
MC=6Q+4
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