Farmer has 400 acres of available land and $80,000 to spend. he wants to plant the combination f crops which maximizes his profit. complete parts (a) through (c). profits and constraints for crops potatoes corn cabbage total number of acres cost (per acre) profit (per acre) х- x2 xз 400 $320 $180 $128 $60 $224 $80,000 $90 z = (a) give the dual problem. w y1 y 180 subject to у, + 320у, 60 ул + 128у, 90 y1+224y2 y1 0, y20 with (b) the solution to the dual problem can be interpreted as shadow profits. use shadow profits to estimate the farmer's profit if land is cut to 320 acres but capital increases to $88,000.