Math Problem Statement

determine the number of units to be produced in 2020 given the following information a.inventories at the beginning of the year 250,000units b.projected sales in 2020 5,750,000 units c.the target level of ending inventories 400,000units

Solution

To determine the number of units to be produced in 2020, we use the following equation:

Units to be produced=(Projected Sales)+(Target Ending Inventory)(Beginning Inventory)\text{Units to be produced} = (\text{Projected Sales}) + (\text{Target Ending Inventory}) - (\text{Beginning Inventory})

Given:

  • Beginning Inventory = 250,000 units
  • Projected Sales = 5,750,000 units
  • Target Ending Inventory = 400,000 units

Now, applying the formula:

Units to be produced=5,750,000+400,000250,000\text{Units to be produced} = 5,750,000 + 400,000 - 250,000

Units to be produced=5,900,000units\text{Units to be produced} = 5,900,000 \, \text{units}

Thus, 5,900,000 units need to be produced in 2020.

Would you like further clarification or details? Here are some related questions you might explore:

  1. How would changing the target ending inventory affect production?
  2. What if projected sales were to increase or decrease by 10%?
  3. How does the beginning inventory influence the number of units to be produced?
  4. How would inventory costs impact this production decision?
  5. What strategies could a company use to minimize excess inventory?

Tip: Monitoring inventory levels closely throughout the year can help optimize production and avoid unnecessary costs.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Inventory Planning
Production Planning

Formulas

Units to be produced = (Projected Sales) + (Target Ending Inventory) - (Beginning Inventory)

Theorems

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Suitable Grade Level

Grades 9-12