Give the formulas for and plot average fixed​ cost, AFC, marginal​ cost, MC, average variable​ cost, AVC, and average​ cost, AC, if the cost function​ is: C=9+q^2.

Respuesta :

Answer:

AFC = [tex]\frac{TFC}{q}[/tex]

MC = [tex]\frac{d}{dq}[/tex] TC

AVC = [tex]\frac{TVC}{q}[/tex]

AC =  [tex]\frac{TC}{q}[/tex]

Explanation:

The cost function is given as [tex]C=9+q^{2}[/tex].

The fixed cost here is 9, it will not be affected by the level of output.

The variable cost is [tex]q^{2}[/tex].

AFC = [tex]\frac{9}{q}[/tex]

MC = [tex]\frac{d}{dq}[/tex] TC

MC = [tex]\frac{d}{dq}[/tex] [tex]C=9+q^{2}[/tex]

MC = 2q

AVC = [tex]\frac{TVC}{q}[/tex]

AVC = [tex]\frac{q^2}{q}[/tex]

AVC = q

AC =  [tex]\frac{TC}{q}[/tex]

AC =  [tex]\frac{[tex]C=9+q^{2}[/tex]}{q}[/tex]

AC = [tex]\frac{9}{q} +q[/tex]

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