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A farmer has 100 acres of available land and $20,000 to spend. He wants to plant the combination of crops which maximizes his profit. Complete parts (a) throm (c). Number of Acres Cost (per acre) Profit (per acre) Minimize w=100y, 200002 Y₁+3202 296 Y₁+128y2 2 40 Y₁ +224y2 2 60 Y₁ 20. y₂ 20 with (Simplify your answers. Do not factor.) Profits and Constraints for Crops Potatoes Corn x₂ x₂ $320 $128 $120 $40 subject to: Cabbage X3 S $224 S $60 R points) possible Total 100 $20,000 2 (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 90 acres but capital increases to $21,000. The farmer's estimated profit is (Type an integer or a decimal.) (c) Suppose the farmer has 110 acres of land but only $19,000. Find the optimum profit and the planting strategy that will produce this profit Planting acres of potatoes. acres of corn, and a acres of cabbage will produce an optimal profit of $ (Type integers or decimals.) Submit quiz