Find the shortest path through the following network using dynamic programming. 
Definitions:
Medicare
A federal health insurance program primarily for individuals aged 65 and over, as well as for some younger people with disabilities.
Medicaid
A social health care program for families and individuals with low income and limited resources in the United States.
Marginal Tax Rate
The rate at which the last dollar of a person's income is taxed, demonstrating how much tax the individual will pay on an additional dollar of income.
Taxable Income
The portion of an individual's or corporation's income that is subject to taxes by the government.
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