Mathematics, 14.02.2020 19:57 esmemaluma00
A California grower has an 80-acre farm on which to plant strawberries and tomatoes. The grower has available 600 hours of labor per week and 800 tons of fertilizer, and he has contracted for shipping space for a maximum of 60 acres’ worth of strawberries and 50 acres’ worth of tomatoes. An acre of strawberries requires 8 hours of labor and 5 tons of fertilizer, whereas an acre of tomatoes requires 4 hours of labor and 20 tons of fertilizer. The profit from an acre of strawberries is $500, and the profit from an acre of tomatoes is $300. The farmer wants to know the number of acres of strawberries and tomatoes to plant to maximize profit.
a. Formulate a linear programming model for this problem.
b. Graphically illustrate the feasible area and identify all the possible extreme points.
c. Solve the model – find the optimal solution points and the optimal objective function value.
Answers: 3
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A California grower has an 80-acre farm on which to plant strawberries and tomatoes. The grower has...
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