# During the war with Iraq, in 1991, the Terraco Motor company produced a lightweight, all terrian...

## Question:

During the war with Iraq, in 1991, the Terraco Motor company produced a lightweight, all terrian vehicle code named "J99 Terra" for the military. The company is now planning to sell the Terra to the public. It has five plants that manucature the vehicle and four region distribution centers. The company is unsure or public demand for the Terra, so it is considering reducing its fixed operating cost by closing one or more plants, even though it would incur an increase in transportation cost. The relevant cost for the are provided in the following table. The transportation cost are per thousand vehicles shipped; for example, the cost of shipping 1,000 vehicles from plant 1 to warehouse C is $32,000.

Transportation costs ($1,000s) to Warehouse

Formulate and solve an integer programming model for this problem to assist the company in determining which plants should remain open and which should be closed and the number of vehicles that should be shipped from each plant to each warehouse to minimize total cost.

## Integer Programming Model

An integer programming model utilizes integers instead of a continuous or fractional set of variable calculations. When the results need to be a whole number in a linear programming model, we just need to restrict our output accordingly.

## Answer and Explanation:

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Chapter 8 / Lesson 3From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.