The Silver Star Bicycle Company will be manufacturing both men's and womer's models for its Easy-Pedal bicycles during the next two months. Management wahts to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown: Labor Requirements (hours) Model Production Cost: Manufacturing Assembly Current Inventory Men's 120 2 1.5 20 Womens 90 1.6 30 Last month the company used a total of 1000 hours of labor. The company's 'labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the production bost based on the inventory levels at the end of the month. The company would like to have at least 25 units of each model in inventory at the end of the two months. a. Establish a production schedule that minimizes production and inventory costs and satisfies the labor-smoothing, demand, and inventory requirements. What inventories will be maintained and what are the monthly labor requirements?

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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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**Chapter 9 #13 Morgan Hafer and Victoria Nickerson**

The Silver Star Bicycle Company plans to manufacture both men's and women's models for its Easy-Pedal bicycles over the next two months. Management aims to create a production schedule specifying the number of each model to produce monthly. Current demand forecasts require 150 men's and 125 women's models in the first month, and 200 men's and 150 women's models in the second month. Additional data are shown in the table below:

| Model   | Production Cost ($) | Labor Requirements (hours)    | Current Inventory |
|---------|---------------------|-------------------------------|-------------------|
|         |                     | Manufacturing | Assembly     |                   |
| Men's   | 120                 | 2             | 1.5          | 20                |
| Women's | 90                  | 1.6           | 1            | 30                |

Last month, the company used 1,000 total labor hours. The company's labor relations policy restricts the total labor hours (manufacturing plus assembly) from increasing or decreasing by more than 100 hours from month to month. Additionally, the company charges monthly inventory costs at a rate of 2% of the production cost based on the inventory levels at the end of the month. The company wants to maintain at least 25 units of each model in inventory at the end of the two months.

**Question a.** Establish a production schedule that minimizes production and inventory costs and satisfies the labor-smoothing, demand, and inventory requirements. What inventories will be maintained, and what are the monthly labor requirements?
Transcribed Image Text:**Chapter 9 #13 Morgan Hafer and Victoria Nickerson** The Silver Star Bicycle Company plans to manufacture both men's and women's models for its Easy-Pedal bicycles over the next two months. Management aims to create a production schedule specifying the number of each model to produce monthly. Current demand forecasts require 150 men's and 125 women's models in the first month, and 200 men's and 150 women's models in the second month. Additional data are shown in the table below: | Model | Production Cost ($) | Labor Requirements (hours) | Current Inventory | |---------|---------------------|-------------------------------|-------------------| | | | Manufacturing | Assembly | | | Men's | 120 | 2 | 1.5 | 20 | | Women's | 90 | 1.6 | 1 | 30 | Last month, the company used 1,000 total labor hours. The company's labor relations policy restricts the total labor hours (manufacturing plus assembly) from increasing or decreasing by more than 100 hours from month to month. Additionally, the company charges monthly inventory costs at a rate of 2% of the production cost based on the inventory levels at the end of the month. The company wants to maintain at least 25 units of each model in inventory at the end of the two months. **Question a.** Establish a production schedule that minimizes production and inventory costs and satisfies the labor-smoothing, demand, and inventory requirements. What inventories will be maintained, and what are the monthly labor requirements?
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