Question Four [10 marks]
Suppose that you wish to maximize the sum X1 + X2 subject to theconstraints
X1 ? 0, X2 ? 0, X1 + 2X2 ?4, 4X1 + 2X2 ? 12 and ?X1 + X2 ? 1
(a) Show the feasible set is a fully labelled diagram. [5marks]
(b) Find numbers X1 and X2 that maximize the sum. [5 marks]
TOTAL
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