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The image shows a production schedule and asks for the global cost of a production program for a quarter. Let's break this down into a few key points to solve the problem step by step.

### Given Data:
- **Production Schedule:**
  | Month      | Opening Inventory | Production | Sales  | Closing Inventory |
  |------------|-------------------|------------|--------|-------------------|
  | January    | 3,750             | 11,250     | 12,500 | 2,500             |
  | February   | 2,500             | 11,250     | 10,000 | 3,750             |
  | March      | 3,750             | 11,250     | 13,750 | 1,250             |

- **Labor Hours and Costs:**
  - Required labor hours per product: **0.625 H**
  - Maximum available monthly labor hours: **7,500 H**
  - Storage cost per product (based on the average inventory): **5 €**
  - Subcontracting cost (if labor hours are insufficient): **11.25 €** per product

### Steps to Solve:

1. **Determine Monthly Labor Requirements:**
   - Each product requires **0.625 H**.
   - Calculate the labor hours required for the production in each month and compare them with the available labor hours (7,500 H).
   - If production requires more than 7,500 hours, calculate the cost of subcontracting the excess.

2. **Calculate Inventory Costs:**
   - The storage cost per product is **5 €** based on the **average inventory**.
   - The average inventory for a month is calculated as:
     \[
     \text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2}
     \]
   - Calculate the storage cost for each month using the average inventory.

3. **Calculate Total Cost:**
   - Sum up the labor costs (including subcontracting if needed) and the storage costs for all three months to get the global cost.

Let's calculate these values.### Calculations:

1. **Average Inventory:**
   - January: \( \frac{3750 + 2500}{2} = 3125 \)
   - February: \( \frac{2500 + 3750}{2} = 3125 \)
   - March: \( \frac{3750 + 1250}{2} = 2500 \)

2. **Labor Hours Required:**
   - January: \( 11,250 \times 0.625 = 7031.25 \, \text{H} \)
   - February: \( 11,250 \times 0.625 = 7031.25 \, \text{H} \)
   - March: \( 11,250 \times 0.625 = 7031.25 \, \text{H} \)

   Since the required labor hours in each month are less than the maximum available labor hours (7,500 H), no subcontracting is needed.

3. **Subcontracting Costs:** 
   Since no subcontracting is required in any month, the subcontracting cost for all months is **0 €**.

4. **Storage Costs (based on average inventory):**
   - January: \( 3125 \times 5 = 15,625 \, \text{€} \)
   - February: \( 3125 \times 5 = 15,625 \, \text{€} \)
   - March: \( 2500 \times 5 = 12,500 \, \text{€} \)

5. **Total Cost per Month:**
   - January: **15,625 €**
   - February: **15,625 €**
   - March: **12,500 €**

6. **Global Cost for the Quarter:** 
   \[
   15,625 + 15,625 + 12,500 = 43,750 \, \text{€}
   \]

### Conclusion:
The global cost of the production program for the quarter is **43,750 €**.

Let me know if you want further clarifications or details on any part of the calculations!

#### Here are 5 related questions:
1. How would the global cost change if labor hours exceeded 7,500 and subcontracting was required?
2. What happens if the storage cost per product increases to 6 €?
3. How would reducing the production in March affect the overall cost?
4. What impact would increasing the maximum available labor hours have on the program?
5. How would changes in opening and closing inventories affect storage costs?

#### Tip:
Always calculate inventory and production costs separately to easily spot areas for potential savings or inefficiencies.

A company uses a production schedule for the upcoming quarter (January to March). The schedule includes opening inventory, production, sales, and closing inventory. Required labor hours per product: 0.625 H, maximum available labor hours per month: 7,500 H, storage cost per product: 5 €, and subcontracting cost: 11.25 €. Calculate the global cost of the production program for this quarter.

This page explains how to calculate the global cost of a production program over three months (January to March), considering labor hours, storage costs, and potential subcontracting. The problem involves computing labor hours per product, comparing with available hours, and determining storage costs based on average inventory.

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