Suppose a perfectly competitive firm's total cost of production (tc) is:

tc(q) = q^3 -10q^2 + 30q + 5,

and the firm's marginal cost of production (mc) is:

mc(q)= 3q^2 -20q +30.

the firm's short-run supply curve is given by

o p = q^2 - 10q + 30 + 5/q.

o p = 3q^2 - 20q + 30 for prices above $2.5.

o p =q^2 - 10q +30 for prices above $5.

o p = 3q^2 - 20q + 30 for prices above $5.

o p = q^2 - 10q + 30 for prices above $10.

P = 3q^2 - 20q + 30 for prices above $5.

Explanation:

Supply curve is rising Marginal cost  

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