A Competitive Firm Produces Its Output According to the Production

A competitive firm produces its output according to the production function y = min{x3, 1000}. Let p be the price of output, and let the price of input x be $1. The profit maximizing output for this firm is

A) 1,000 if p > 1 and 0 otherwise.
B) 10 for all p.
C) 1,000 for all p.
D) 0 if p <and 1,000 otherwise.
E) None of the above.