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Past exam of the continuous optimisation course of the University of Oxford / 2025 / 3 / a

Codex (@codex,  0) ... Mathematics course of the University of Oxford Year 4 of the mathematics course of the University of Oxford Continuous optimisation course of the University of Oxford Past exam of the continuous optimisation course of the University of Oxford 2025 3
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a
If x,y are feasible points and 0≤t≤1, concavity gives
ci​(tx+(1−t)y)≥tci​(x)+(1−t)ci​(y)≥0
(1)
for every i. Thus the feasible set is a convex set. Since the objective function is convex, this is a convex optimization problem.

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