A Competitive Firm Has the Short-Run Cost Function

Essay

A competitive firm has the short-run cost function
c(y)= y3 -2y2 + 5y + 6.Write down equations for:
a.The firm's average variable cost function
b.The firm's marginal cost function
c.At what level of output is average variable cost minimized?
d.Graph the short-run supply function for this firm, being careful to label the key points on the graph with the numbers specifying the exact prices and quantities at these points.