I need someone to help me folumate a Linear Programming Problem based on the following story. The optimal solution should equal 26,740; however, I need to be able to outline the equation and graph it. The story is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

A farmer in Georgia has a 100-acre farm on which to plant watermelons and contaloupes. Every acre planted with watermelons requires 50 gallons of water per day and must be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantalloupes. He believes that watermelons will sell for about $3.00 each and cantaloupes for $1.00 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 6,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at a cost of $10 per 50-pound bag. Finally, the farmer can hire laborers to harvest the fields at a rate of $5.00 per hour. If the farmer sells all the watermelons and cantaloupes he produces, how many acres of each drop should the farmer plant in order to maximize profits? Show how you formulate the proglem and sketh the feasible region for this model.

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# Linear programming equation problem

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