Problem Set 1

# Problem Set 1 - places this value with the optimal...

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ORIE 3300/5300 Fall 2009 Prof. Bland Problem Set 1 Due: never This very short problem set is a continuation of Recitation Exercise 1. It will not be collected, but you should work these 2 problems and write out your solutions. Please complete problem 2 before the 9/8 lecture. Please complete problem 3 before the 9/10 lecture. Problems labeled numbers 2 and 3 below refer back to problem number 1 from the Recitation Exercise. 2. (a) In part 1(i) you worked with the brew new.dat data and found that the output from display Scarcity has values 1.32353 for corn, 0 for hops and 0.258824 for malt. Calculate the sum over the three scarce resources of the product of the value above times the availability of that resource (1 . 32353 * 600 + 0 * 480 + 0 . 258824 * 1200). Compare (to three decimal
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Unformatted text preview: places) this value with the optimal objective function value (which you found in part (e(ii)) for this version of the brewery problem. (b) Repeat for the versions of the brewery problem examined in parts 1(a), 1c(i) and 1(d). 3. (a) Make an accurate drawing of the feasible region , the set of all feasible production programs ( x A , x B ) for the brewery problem of part 1(a). (For shorthand here, I am asking you to denote by ( x A , x B ) the pair ( Make ( ALE ) , Make ( BEER )) from the AMPL solution.) Use graph pa-per or a drawing program that allows for similar accuracy. (b) On the ﬁgure from part 2(a) label all of the optimal solutions that you encountered in part 1(b) (your list from 1(b)(iv))....
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## This note was uploaded on 10/29/2011 for the course ORIE 3310 taught by Professor Bland during the Spring '08 term at Cornell.

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