Linear Programming: As we have in the past, we will pose a problem and follow it through the steps of the model:
We have two types of boxed sets; the Aristorocks and the Millionaire sets. We have two people working in the boxing section and one person working in the shipping department. The Aristorocks take 2 hours to box and 3/2 hours to pack and ship. The Millionaires take 3 hours to box, but only 1/2 hour to pack and ship. Mr. Rock has decreed that he will not authorize any overtime. We make $50 per Aristorockand $60 per Millionaire. How many of each type should we produce each week to maximize profit?
We start by writing the Objective Equation. The objective equation is an equation that defines the thing we want to maximize (or minimize) in terms of the variables. I always explicitly write the variables down somewhere to the right of the equation so I won't mix them up later in the model. I also always use subscripts to identify them as is the convention when programming or......
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