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categoryالاقتصاد والأعمال schoolبكالوريوس event_available2026-07-15

السؤال

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A berry farm can choose to plant four different types of strawberries. Some of the berry plants provide more fruit, but they also require more land and labor. The yields from each type of berry plant and the amount of land and labor required are shown below. Berry Type Yield, lb/plant Land, plants/acre Labor, hours/plant A B с 2.0 2.5 3.0 D 1.8 10,000 0.10 8,000 0.15 6,000 0.20 12,000 0.10 At the present time, berries are selling for 50 cents a pound, and we have 10 acres of land and 10,000 hours of labor available for planting and picking the berries. The Berry farm wishes to maximize revenue from the plantings using all the 10 acres. Due to the need for disease resistance of plants, the farm will not plant more than 3 acres of any one strawberry type. (Hint: Formulate this problem with decision variables equal to the number of acres planted of each type of berry.) a. Formulate the problem as a linear programming problem. What is the objective function to maximize revenue? Also, what is the constraint for labor hours? Maximize: A B Labor Hours Constraint: A B C D S b. How many acres of berries of each type should be planted for maximum revenue? Acres of Berries A B IC ID c. More labor can be obtained for $5 an hour, and more land can be rented for $8,000 per acre. Should additional resources be obtained to increase revenue? Should more labor be acquired? (Click to select) ▼ Number of hours = Should more acres be required? (Click to select) ▼ Number of acres =

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