Problem Solving

A farmer has exactly 1,000 square feet of farmland, on which he can grow both soy and corn. Every square foot can produce either one pound of soy or three pounds of corn. If soy can be sold on the market for $12/pound for the first hundred pounds and then $6 per pound after that, and corn can be sold on the market for $10/pound, what is the number of square feet of farmland that the farmer should devote to soy to make a profit of exactly $13,080?

(A) 30
(B) 100
(C) 270
(D) 600
(E) 730


OA E

Source: Manhattan Prep