a linear optimization

There are two parts to the assignment and you need to  complete both parts.
a.  Formulate and solve a linear optimization model using the auxiliary variable cells method and write a short memo to the production manager explaining the sensitivity information. 
 b.  Solve the model without the auxiliary variables and explain the relationship between the reduced costs and the shadow prices found in part a. 
Without auxiliary variables: ????
You need to relax the conditions on the variables that you had for part a) and solve the optimization problem. For example,  you may have a constraint  a + b < 50 where 1 < a < 2.  The first one is the constraint and you will get rid of the condition 1 < a < 2 and run the analysis for the second part.
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