The most votes in the upcoming election

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Reference no: EM13862833

A congressman's district has recently been allocated $45 million for projects. The congressman has decided to allocate the money to four ongoing projects. However, the congressman wants to allocate the money in a way that will gain him the most votes in the upcoming election. The details of the four projects and votes per dollar for each project are given below.

Project Votes/dollar

________________________

Parks 0.07

Education 0.08

Roads 0.09

Health Care 0.11

Family Welfare 0.08

In order to also satisfy some local influential citizens, he must meet the following guidelines.

- None of the projects can receive more than 30% of the total allocation.

- The amount allocated to education cannot exceed the amount allocated to health care.

- The amount allocated to roads must be equal to or more than the amount spent on parks.

- All of the money must be allocated.

Formulate a linear programming model for the above situation by determining

(a) The decision variables

(b) Determine the objective function. What does it represent?

Note: Do NOT solve the problem after formulating.

Reference no: EM13862833

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