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.

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