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how to determine whether a demand function is convex

The demand function for Sprint shoes is given by
P = 24q + 1200/ q+ 20 q>0
Comment on whether this demand function is concave, convex, strictly concave, or strictly convex. Explain why and draw a rough diagram for it.

Solution Summary

Given a demand function, I plot it out then provide a discussion regarding the convexity of the function.