A grocery store chain needs to transport of 3000m^3 of refrigerated goods and 4000m^3 of non-refrigerated goods. They plan to hire truck from a company that has two types of trucks for rent. A truck of type A has a refrigerated goods section of 20m^3 and a non-refrigerated goods section of 40m^3, while each truck of type B has both sections of the same volume of 30m^3. The cost per kilometer of a Type A is $30, and $40 for Type B. How many trucks of each type should the grocer rent to achieve the minimum total cost?

Answer 1

You specify no distance, so let's work with the per/km cost. For x trucks of A and y trucks of B, you want to

minimize c=30x+40y subject to
20x+30y >= 3000
40x+30y >= 4000

Now crank out the vertices.