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A winery produces two types of wine: standard and premium. Weekly production is represented by ac mega-litres of standard and y mega-litres of premium. Weekly

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A winery produces two types of wine: standard and premium. Weekly production is represented by ac mega-litres of standard and y mega-litres of premium. Weekly revenue is 60333;, and costs are m3 + :93. It follows the weekly prot is given by the function f(m,y) = 603:3: m3 :62 + y2 = 200. The renery leadership team would like to maximise the prot, but the constraint must be obeyed. Which one of the following systems of equations represents the Lagrange multiplier condition that must be satised at a point that maximises the prot? ys. Unfortunately there is a plant constraint requiring: O 60y 32:2 = 2A3: 60m 3y2 : 2A3; 332 + y2 : 200 O 60y 3:272 )\\:L'2 60a: 3y2 )\\y2 m2 +y2 200 0 60m 23312 )\\(2y 200) 2 + y? 200 O 60y 3:52 2)\\:z: 60a: 3'92 2)\\y {60313322 _ M23: 200)

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