Colsider the following linear programming problem: I decide to try farming and plan to grow strawberries and tomatoes on a 40-acre plot. There will be 300 hours of labor available for the picking. It takes eight hours to pick an acre of strawberries and six hours for an acre of tomatoes. The per- acre profit on the strawberries is $700 compared to $600 for the tomatoes. How many acres of each should be grown to maximize total profit? Let x = number of acres of strawberries y = number of acres of tomatoes An appropriate objective function for the linear program is: z = 40x + 30y O z = 8x + 6y z = 300x + 600y z = 700x + 600y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Colsider the following linear programming problem:
I decide to try farming and plan to grow strawberries and tomatoes on a 40-acre plot. There will be 300 hours of labor
available for the picking. It takes eight hours to pick an acre of strawberries and six hours for an acre of tomatoes. The per-
acre profit on the strawberries is $700 compared to $600 for the tomatoes. How many acres of each should be grown to
maximize total profit?
Let x = number of acres of strawberries
y
= number of acres of tomatoes
An appropriate objective function for the linear program is:
z = 40x + 30y
z = 8x + 6y
z = 300x + 600y
z = 700x + 600y
O None of these
Transcribed Image Text:Colsider the following linear programming problem: I decide to try farming and plan to grow strawberries and tomatoes on a 40-acre plot. There will be 300 hours of labor available for the picking. It takes eight hours to pick an acre of strawberries and six hours for an acre of tomatoes. The per- acre profit on the strawberries is $700 compared to $600 for the tomatoes. How many acres of each should be grown to maximize total profit? Let x = number of acres of strawberries y = number of acres of tomatoes An appropriate objective function for the linear program is: z = 40x + 30y z = 8x + 6y z = 300x + 600y z = 700x + 600y O None of these
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