Wheat, corn and rice are to be planted on 10800 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 26% of the total acreage planted. At most 1980 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted? To achieve a maximum yield of| acres with wheat, acres with rice. 1980 bushels of grain, plant acres with corn, and

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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Wheat, corn and rice are to be planted on 10800 acres of farmland. Each acre can
produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage
planted in corn must be at least half the acreage planted in wheat, and at most
26% of the total acreage planted. At most 1980 acres can be planted in rice. If you
wish to maximize the total amount of grain produced, how should the land be
planted?
To achieve a maximum yield of
1980
acres with wheat,
acres with rice.
bushels of grain, plant
acres with corn, and
Transcribed Image Text:Wheat, corn and rice are to be planted on 10800 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 26% of the total acreage planted. At most 1980 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted? To achieve a maximum yield of 1980 acres with wheat, acres with rice. bushels of grain, plant acres with corn, and
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