Solution Found!
Show that the change-making problem (Exercise 6.17) can be formulated as an integer
Chapter 7, Problem 7.27(choose chapter or problem)
Show that the change-making problem (Exercise 6.17) can be formulated as an integer linear program. Can we solve this program as an LP, in the certainty that the solution will turn out to be integral (as in the case of bipartite matching)? Either prove it or give a counterexample.
Questions & Answers
QUESTION:
Show that the change-making problem (Exercise 6.17) can be formulated as an integer linear program. Can we solve this program as an LP, in the certainty that the solution will turn out to be integral (as in the case of bipartite matching)? Either prove it or give a counterexample.
ANSWER:Step 1 of 2
Linear programming is a sort of mathematical programming which optimizes functions based on some constraints. The coin change problem is to find the sum of v using the unlimited supply of coins with denominations \(x_{1}, x_{2}, \ldots, x_{n}\). Each denomination should be used at most once.