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In a laboratory test the combined antibiotic effect of x milligrams of medicine A and y milligrams of medicine B is given by the function

In a laboratory test the combined antibiotic effect ofxmilligrams of medicine A andymilligrams of medicine B is given by the function

f(x,y) =xy2x²y²+123x+62y

(for0x55, 0y60).

Find the amounts of the two medicines that maximize the antibiotic effect.

___________mg of drug A

___________ mg of drug B

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