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course: Matrix Method

course: Matrix Method

Advanced Engineering Mathematics
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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3. Sasha wants to buy x oranges and y apples from the store. She must buy at least 5 oranges and the number of oranges must be at most twice the number of apples. An orange weighs 150 grams and an apple weighs 100 grams. Sasha can carry not more than 3.6 kg of fruits home. Oranges cost $0.50 each and apples cost $1 each. (1 kg=1000g.) a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and show the feasible region that satisfies all the inequalities. Label the region. Find all its vertices.
Transcribed Image Text:3. Sasha wants to buy x oranges and y apples from the store. She must buy at least 5 oranges and the number of oranges must be at most twice the number of apples. An orange weighs 150 grams and an apple weighs 100 grams. Sasha can carry not more than 3.6 kg of fruits home. Oranges cost $0.50 each and apples cost $1 each. (1 kg=1000g.) a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and show the feasible region that satisfies all the inequalities. Label the region. Find all its vertices.
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