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# Optimization Problem QUESTION 1 15 Marks A post office requires different numbers of full-time employees on...

## Question

###### Optimization Problem QUESTION 1 15 Marks A post office requires different numbers of full-time employees on...

Optimization Problem

QUESTION 1 15 Marks A post office requires different numbers of full-time employees on different days of the week. Each full-time employee must work five consecutive days and then receive two days off. In Table 1, the number of employees required on each day of the week is specified. Table 1: Employee work schedule Day 1=Monday 2=Tuesday 3=Wednesday 4=Thursday S=Friday 6=Saturday 7=Sunday Number of full-time Employees Required 17 13 15 19 16 Formulate a linear programming (LP) model that the post office can use to minimize the number of full-time employees who are needed to satisfy these constraints. Clearly discuss the following basic optimization formulation steps relative to the aforementioned problem statement: i. ii. 111. Defining the decision variables Choosing an objective function Identifying the constraints

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