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(Solved) Advanced Micro Winter 2017: Problem Set 2. Victor H. Aguiar This version: January 2017 Exercise 1. Solve the Utility Maximization Problem for the...


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I need the definition of the problem, with very brief explanation, and if possible the solution in LINGO.

1) Cutting Stock A paper mill received three orders: one for 100 ft of 5 ft wide paper, one for 300 ft of 7 ft wide paper
and one for 200 ft of 9 ft wide paper. The orders will be filled by cutting from either a 10 ft or a 20 ft
very long roll of paper using some combination of the patterns listed below: The patterns having a “1” as their first digit (e.g. x12) are cut from 10 ft. wide rolls. The patterns
having 2 as their first digit are cut from 20 ft. wide rolls.
Formulate and solve an LP problem using 2) Multiperiod The Stackhouse Corporation makes a product which is essentially an assembly consisting of two parts,
A and B, stacked on top of each other. The height of the assembly is the sum of the heights of the two
parts. Parts have been measured and classified by their deviation from their nominal dimension in
thousandths of an inch. The current inventory of the two parts at various size deviations is tabled
below. A customer has agreed to buy as many assemblies as can be supplied provided the height is
equal to its nominal size or larger by no more than 0.001”. Formulate and solve an LP problem using

 


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