A farmer supplies his neighbors with x pumpkins and y melons daily, using the following conditions: First condition: y ≥ 3 Second condition: y ≤ x Third condition: the total number of pumpkins and melons must not exceed 12. (a) Write an inequality to represent the third condition. (b) Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the three lines associated with the three inequalities. (c) Identify, by shading; the region which satisfies the three inequalities.
A farmer supplies his neighbors with x pumpkins and y melons daily, using the following conditions: First condition: y ≥ 3 Second condition: y ≤ x Third condition: the total number of pumpkins and melons must not exceed 12. (a) Write an inequality to represent the third condition. (b) Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the three lines associated with the three inequalities. (c) Identify, by shading; the region which satisfies the three inequalities.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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- A farmer supplies his neighbors with x pumpkins and y melons daily, using the following conditions:
First condition: y ≥ 3
Second condition: y ≤ x
Third condition: the total number of pumpkins and melons must not exceed 12.
(a) Write an inequality to represent the third condition.
(b) Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the three lines associated with the three inequalities.
(c) Identify, by shading; the region which satisfies the three inequalities.
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