INSTRUCTIONS: MAKE AN LINEAR PROGRAMMING MODEL OUT OF THE PROBLEM

In this LP we have to schedule the quantity of materials within 600 hours. We have three products, BB, SURV and TAR each with a demand of 75 liters, 50 liters and 45 liters respectively. We also have two raw materials X and Y that require 15 mins and 20 mins respectively to produce 1 liter. The cost to produce one liter of A or B is $25 and $50 respectively. The constraint cluster that affects all three products is the Capacity Constraint which states that the mixer will only mix 600 hours in a month. Since you are mixing two raw materials together, the time it takes to produce a liter of material depends on many factors and not just how much time you spend mixing. The mixture involving material X may take 15 minutes but Y could take 20 minutes and this would mean that at most we could produce 300 liters of material A per month and even less for B. This tells me that I can't assign more than 300 hours for my constraint cluster.

Model: We are trying to maximize profit by choosing a mix of A and B in order to produce the requested volumes of products. We can calculate the number of each product we can produce at a given capacity of the batch. Our factory has a capacity to make 120 liters of product per hour. We have three products, BB, SURV and TAR each with a demand of 75 liters, 50 liters and 45 liters respectively. We also have two raw materials X and Y that require 15 mins and 20 mins respectively to produce 1 liter. The cost per liter of A or B is $25 and $50 respectively.