Determining objective function


Assignment:

A manufacturing company makes three types of office chairs: Model A, Model B, and Model C. The construction of each chair requires a process involving three departmental steps; material workup, assembly, and packaging. The three departments have a maximum of 30, 53, and 47 hours available each week, respectively. The information is summarized.

                        Model A    Model B    Model C
Material Workup (hrs)    1    1    1
Assembly (hrs)               2    3    2
Packaging (hrs)              1    2    3

a) Determine the objective function.
b) Introduce slack variables and set up the initial simplex tableau.
c) Solve the system (please show all steps)
d) Report your solutions in terms of maximum profit and each variable.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Determining objective function
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