Help me fast so that I will give Upvote. 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) through (c).Profits and Constraints for CropsPotatoesCornCabbageTotalNumber of AcresX1X2X3100Cost (per acre)Profit (per acre)$400$120$160$40$280$60$20,000(a) Give the dual problem.Minimizew = 100 y, + 20000 y2subject to:У1 + 400y, 2 120У1 + 160y, 2 40У1 +280y, 2 60withY1 20, y2 20(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 80 acres but capital increases to $22,000.The farmer's estimated profit is $(Simplify your answer.)

Minimize: W = 100y1+20,000y2 Constraints: y1+400y2≥120y1+160y2≥40y1+280y2≥60

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) through (c). Profits and Constraints for Crops Corn Potatoes Cabbage Total Number of Acres Cost (per acre) Profit (per acre) X2 X3 100 $20,000 $400 $120 $160 $40 $280 $60 %3D (a) Give the dual problem. Minimize w = 100 y, + 20000 y2 subject to: y, +400y, 2 120 Y, + 160y2 2 40 Y, +280y2 2 60 with y, 20, y2 20 (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 80 acres but capital increases to $22,000. The farmer's estimated profit is $ (Simplify your answer.)

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) through (c). Profits and Constraints for Crops Corn Potatoes Cabbage Total Number of Acres Cost (per acre) Profit (per acre) X2 X3 100 $20,000 $400 $120 $160 $40 $280 $60 %3D (a) Give the dual problem. Minimize w = 100 y, + 20000 y2 subject to: y, +400y, 2 120 Y, + 160y2 2 40 Y, +280y2 2 60 with y, 20, y2 20 (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 80 acres but capital increases to $22,000. The farmer's estimated profit is $ (Simplify your answer.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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