Answer Happy

As a result of a recently passed bill, a congressman’s district
has been allocated $4 million for programs and projects. It is up
to the congressman to decide how to distribute the money. The
congressman has decided to allocate the money to four ongoing
programs because of their importance to his district—a job training
program, a parks project, a sanitation project, and a mobile
library. However, the congressman wants to distribute the money in
a manner that will please the most voters, or, in other words, gain
him the most votes in the upcoming election. His staff’s estimates
of the number of votes gained per dollar spent for the various
programs are as follows:
Program Votes/Dollar
Job
training 0.02
Parks 0.09
Sanitation 0.06
Mobile
library 0.04
In order also to satisfy several local influential citizens who
financed his election, he is obligated to observe the following
guidelines:
None of the programs can receive more than 40% of the total
allocation.
The amount allocated to parks cannot exceed the total allocated
to both the sanitation project and the mobile library.
The amount allocated to job training must at least equal the
amount spent on the sanitation project.
Any money not spent in the district will be returned to the
government; therefore, the congressman wants to spend it all. The
congressman wants to know the amount to allocate to each program to
maximize his votes.
I NEED A written MEMO
- problem statement
- quantitative results
- conclusion