bv_cvxbook_extra_exercises

Find the range of prices for this collar consistent

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Unformatted text preview: osen r, the demand will become known to you. This means that you will ﬁnd out which of the K demand vectors is the true demand. Once you 111 know this, you must choose the quantities to be manufactured. (In other words, you must order the raw materials before the product demand is known; but you can choose the mix of products to manufacture after you have learned the true product demand.) The objective is to maximize the expected proﬁt. (a) Explain how to formulate each of these problems as a convex optimization problem. Clearly state what the variables are in the problem, what the constraints are, and describe the roles of any auxiliary variables or constraints you introduce. (b) Carry out the methods from part (a) on the problem instance with numerical data given in planning_data.m. This ﬁle will deﬁne A, D, K, c, m, n, p and pi. The K columns of D are the possible demand vectors. For both of the problems described above, give the optimal value of r, and the expected proﬁt. 13.12 Gini coeﬃcient of inequality. Let x1 ,...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.

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