a farmer owns a 120 acre farm and plans to plant at most three crops. The seed for crops, A,B and C cost 24, 45, and 30 per acre, respectively. A maximum of $3,390 can be spent on seed. Crops A,B and C require 1,2 and 2 workday per acre, respectively and there are a maximum of 180 workdays available. If the farmer can make a profit of $140 per acre on crop A, $200 per acre on crop B and $160 per acre on crop C how many acres of each crop should be planted to maximize profit?