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Q. A California grower has a 50-acre farm on which to plant strawberries also tomatoes. The grower has available 300 hours of labor per week also 800 tons of fertilizer also he has contracted for shipping space for a maximum of 26 acres' worth of strawberries also 37 acres' worth of tomatoes. An acre of strawberries needs 10 hours of labor also 8 tons of fertilizer, whereas an acre of tomatoes needs 3 hours of labor also 20 tons of fertilizer. The profit from an acre of strawberries is $400 also the profit from an acre of tomatoes is $300. The farmer needs to know the number of acres of strawberries also tomatoes to plant to maximize profit.
1. Formulate a linear programming model for this trouble.2. Solve this model by using graphical analysis.
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