Math Problem Statement
Solution
Let's break down the information from the image and solve the problem:
Given dataLet's break down the information from the image and solve the problem:
Given
- Sales volumes per month:
- January: 1,200 units
- February: 1,500 units
- March: 1,300 units
- Opening finished goods inventory: 300 units
- Expected closing finished goods inventory: 500 units
- Each product requires 4 machine hours.
- Monthly available machine hours: 5,200 hours
- The company will use a regular production process.
Approach:
We need to determine if the machine hours are sufficient for production. We will:
- Calculate the production requirements for each month, accounting for inventory.
- Determine the total machine hours needed for each month.
- Compare this with the available machine hours (5,200 per month) to see if there's a shortfall.
Step 1: Determine the required production volumes
The production volume for each month can be calculated using the formula: However, since the opening and closing inventory apply to the whole quarter, we will adjust for each month.
Step 2: Calculate machine hours for production
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Math Problem Analysis
Mathematical Concepts
Production capacity calculation
Inventory management
Time management
Formulas
Required production = (Sales volume + Closing inventory) - Opening inventory
Total machine hours = Required production * Machine hours per product
Theorems
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Suitable Grade Level
University-level (business management or operations management)
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