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# Perfect complements utility (fairly urgent) watch

1. Trying to tackle the question..

State the optimum X, Y and U for U = min(2X,Y) subject to X+2Y=10

The ratio of (2X,Y) is throwing me off completely. I'm not sure how it affects the usual method of doing this. I have provided the steps for this method below. If someone could explain how a different ratio would alter this method I would be very grateful.

e.g. U = min(X,Y) subject to 2X+3Y=10

1 Define a good
Q = min (X, Y)
PQ = Px + PY = 2 + 3 = 5

2 BC for Q is now..
5Q = 10

3 Can afford..
Q = 10/5 = 2
Umax = 2

Need to learn this in time for a test on wednesday. Cheers.
2. Hi there,

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Updated: November 20, 2013
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