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The assignment entails Inventory and Ordering Decisions. In addition, there is a description of Manufacturing Operations Management. So, provide the algebraic equation for the monthly aggregate production rate.

## Inventory and Ordering Decisions – Manufacturing Operations Management

Description

Firstly, for this assessment, suppose that you are the operations manager for ABC Manufacturing. Secondly, a small manufacturing company founded three years ago. ABC has been manufacturing and selling an electric motor for the past year. Also, the company has not always had sufficient workers assigned to manufacturing this electric motor in order to satisfy demand. ABC’s president asked you to plan for the production of this motor for the next six months. You have decided you will use a level aggregate plan for the electric motor, meaning that you will manufacture the same number of units each month. ABC’s president has told you that some customers order this motor well in advance of when needed, and thus it is allowable to have backorders, if needed. You know there are currently 150 units in inventory (starting inventory = SI).

#### Inventory and Ordering Decisions – Manufacturing Operations Management

So, ABC’s marketing manager estimates that the demand for the motor (in units) for each of the next six months (M = 6) will be 240, 225, 265, 270, 260, and 275 (D1, D2, D3, D4, and D5 respectively). You have decided you would like to reduce average inventory level of several products (including this one), and you want to have 50 units in inventory six months from now (ending inventory = EI).

Directions
Briefly describe the operations management issue in the ABC Manufacturing scenario and describe how you would approach an analysis. Then complete the following problems based on the scenario and provide answers to the algebraic equations.

#### Inventory and Ordering Decisions – Manufacturing Operations Management

Question 1. Refer to the ABC Manufacturing scenario to complete the following:

Provide the algebraic equation for the monthly aggregate production rate (APR, using SI, EI, D1, D2, D3, D4, D5, and M as variables).
Calculate and provide the numerical monthly aggregate production rate rounded to a whole number.
Question 2. Production employees at ABC work an average of 168 hours per month (HPM), and manufacturing the electric motor involves 3.5 total hours of work per unit (HPU).

Provide the algebraic equation for the number of workers (W) needed to meet the above aggregate production rate (using W, APR, HPM, and HPU as variables).
Finally, calculate and provide the numerical number of workers needed.

### Detailed Instructions

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