Optimization Dino is to have a rectangular swimming pool at his villa. He wants its width to be at least 2 metres and its length to be at least 5 metres. He wants its length to be at least twice its width. He wants its length to be no more than three times its width, Each metre of the width of the pool costs €1000 and each metre of the length of the pool costs £500. He has €9000 available. Let the width of the pool be y metres and the length of the pool be y metres. a. Show that one of the constraints leads to the inequality 2x+y< 18 b. Find four further inequalities. c. draw a suitable diagram to show the feasible region.
Optimization Dino is to have a rectangular swimming pool at his villa. He wants its width to be at least 2 metres and its length to be at least 5 metres. He wants its length to be at least twice its width. He wants its length to be no more than three times its width, Each metre of the width of the pool costs €1000 and each metre of the length of the pool costs £500. He has €9000 available. Let the width of the pool be y metres and the length of the pool be y metres. a. Show that one of the constraints leads to the inequality 2x+y< 18 b. Find four further inequalities. c. draw a suitable diagram to show the feasible region.
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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Optimization
Dino is to have a rectangular swimming pool at his villa.
He wants its width to be at least 2 metres and its length to be at least 5 metres.
He wants its length to be at least twice its width.
He wants its length to be no more than three times its width,
Each metre of the width of the pool costs €1000 and each metre of the length of the pool
costs £500.
He has €9000 available.
Let the width of the pool be y metres and the length of the pool be y metres.
a. Show that one of the constraints leads to the inequality
2x+y< 18
b. Find four further inequalities.
c. draw a suitable diagram to show the feasible region.
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