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A farmer can plant either rice or squash on his land. Each rice plant requires three square meters of land and 20 gallons of water to grow to harvest. Each squash requires five square meters of land and 15 gallons of water. Rice plants require a total to five hours to tilI, while squash plants take only three hours. Suppose that the farmer in question has only 6,000 gallons of water, 1,500 square meters of land and 1,500 labor hours available to till the land. If each rice plant could provide a harvest profit of P25 and each squash plant increased profit to P20, 1) How many rice should the farmer plant to maximize profit? (place numerical answer only) 2) How many squash should the farmer plant to maximize profit? (place numerical answer only)

A farmer can plant either rice or squash on his land. Each rice plant requires three square meters of land and 20 gallons of water to grow to harvest. Each squash requires five square meters of land and 15 gallons of water. Rice plants require a total to five hours to tilI, while squash plants take only three hours. Suppose that the farmer in question has only 6,000 gallons of water, 1,500 square meters of land and 1,500 labor hours available to till the land. If each rice plant could provide a harvest profit of P25 and each squash plant increased profit to P20, 1) How many rice should the farmer plant to maximize profit? (place numerical answer only) 2) How many squash should the farmer plant to maximize profit? (place numerical answer only)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A farmer can plant either rice or squash on his land. Each rice plant requires three square meters of land and 20 gallons of water to grow to harvest. Each squash requires five square meters of land and 15 gallons of water. Rice plants require a total to five hours to till, while squash plants take only three hours. Suppose that the farmer in question has only 6,000 gallons of water, 1,500 square meters of land and 1,500 labor hours available to till the land. If each rice plant could provide a harvest profit of P25 and each squash plant increased profit to P20, 1) How many rice should the farmer plant to maximize profit? |(place numerical answer only) 2) How many squash should the farmer plant to maximize profit? (place numerical answer only)
Transcribed Image Text:A farmer can plant either rice or squash on his land. Each rice plant requires three square meters of land and 20 gallons of water to grow to harvest. Each squash requires five square meters of land and 15 gallons of water. Rice plants require a total to five hours to till, while squash plants take only three hours. Suppose that the farmer in question has only 6,000 gallons of water, 1,500 square meters of land and 1,500 labor hours available to till the land. If each rice plant could provide a harvest profit of P25 and each squash plant increased profit to P20, 1) How many rice should the farmer plant to maximize profit? |(place numerical answer only) 2) How many squash should the farmer plant to maximize profit? (place numerical answer only)
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