4. Given U = (x + 1)(y + 4) and P, = 2, P, = 3, and B = 226. %3D •Wnite the Lagrangian function. Find the optimal levels of purchase x and y". Is the second-order sufficient condition for maximum satisfied How does the optimal utility U' depend on B?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Given U = (x + 1)(y + 4) and P, = 2, P, = 3, and B = 226.
• Write the Lagrangian function.
• Find the optimal levels of purchase x" and y".
Is the second-order sufficient condition for maximum satisfied
• How does the optimal utility U depend on B?
Transcribed Image Text:4. Given U = (x + 1)(y + 4) and P, = 2, P, = 3, and B = 226. • Write the Lagrangian function. • Find the optimal levels of purchase x" and y". Is the second-order sufficient condition for maximum satisfied • How does the optimal utility U depend on B?
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