Question: Hello, I need some help with this problema about constrained optimization. 1) The weekly total income in euros for selling their sounds system is from:

Hello, I need some help with this problema about constrainedoptimization.

1) The weekly total income in euros for selling their sounds system is from: Income (x,y)= -frac{x^2}{4}-frac{3y^2}{8}-frac{xy}{4}+300x+240y . where frac means fraction.

where 'X' is the number of assembled units and 'Y' represents the number of packages produced and sold by weeks. The total cost per week of this production is C(x,y)= 180x+140y+5000 euros.

Determine the number of assembled units and the number of packages produced by the company in each week (i mean the amount per week) to maximize benefits.

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