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A department store has found that its value of sales (z) depends on the mumber of advertisements in circulars (x) and in newspapers (v), given by z = 420x – 2x2 – 3xy- 5y? + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180, i) Write the Lagrangian function. ii) Find the number of advertisements in circulars and newspapers that will maximize sales subiect to the budget constraint.

A department store has found that its value of sales (z) depends on the mumber of advertisements in circulars (x) and in newspapers (v), given by z = 420x – 2x2 – 3xy- 5y? + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180, i) Write the Lagrangian function. ii) Find the number of advertisements in circulars and newspapers that will maximize sales subiect to the budget constraint.

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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1. A department store has found that its value of sales (z) depends on the number of advertisements in circulars (x) and in newspapers (y), given by z = 420x – 2x2 – 3xy - 5y2 + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180, i) Write the Lagrangian function. ii) Find the number of advertisements in circulars and newspapers that will maximize sales subject to the budget constraint.
Transcribed Image Text:1. A department store has found that its value of sales (z) depends on the number of advertisements in circulars (x) and in newspapers (y), given by z = 420x – 2x2 – 3xy - 5y2 + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180, i) Write the Lagrangian function. ii) Find the number of advertisements in circulars and newspapers that will maximize sales subject to the budget constraint.
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