A perfect competitive industry has 100 identical firms each of which has the following short run cost function

TC=10+1/300q²-0.2q²+4q
Find the representative firms short run supply function.
What is the industry supply function

The representative firm's short run supply function is:

q = 0.2TC - 10

The industry supply function is:

Q = 100(0.2TC - 10)