Suppose a Business Can Sell X Gadgets For $p = 250 - 0.01 x$

Multiple Choice

Suppose a business can sell x gadgets for $p = 250 - 0.01 x$ dollars apiece, and it costs the business $c ( x ) = 1000 + 25 x$ dollars to produce the $x$ gadgets. Determine the production level and cost per gadget required to maximize profit.

A) 11,250 gadgets at $137.50 each
B) 13,750 gadgets at $112.50 each
C) 10,000 gadgets at $150.00 each
D) 111 gadgets at $248.89 each