Answer to Question #340110 in Operations Research for Maneo

Question

Roma grower has a 50-acre farm on which to plant cabbages and tomatoes. The grower has available 300 hours of labourper week and 800 tons of fertilizer, and he has contracted shipping space for a maximum of 26 acre’s worth of cabbages and 37 acres’

worth of tomatoes. An acre of cabbages requires 10 hours of labour and 8 tons of fertilizer,whereas an acre of tomatoes requires 3 hours of labour and 20 tons of fertilizer.

The profit from an acre of cabbages is M400, and the profit from an acre of tomatoes is M300. Thefarmer wants to know the number of acres of cabbages and tomatoes to plant to maximize profit.

Formulate this as a linear programming

problem.

Answer 1

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