Question in the attachment, please, thank you **Sensitivity Analysis and Profit Maximization**Jennifer manages a shipping company with the objective of maximizing profit. Below is a sensitivity report addressing her current operational constraints. **Questions:**- **Allowable Range for "Boxes Used":** To determine this, review the "Allowable Increase" and "Allowable Decrease" for "Boxes Used." - **Increasing Company Profits:** With full control over workers, packages, and boxes, identify the most efficient strategy to enhance profits.**Constraints Analysis:**| **Cell** | **Name** | **Final Value** | **Shadow Price** | **Constraint R.H. Side** | **Allowable Increase** | **Allowable Decrease** ||----------|---------------------|-----------------|------------------|--------------------------|------------------------|------------------------|| **E2** | Workers Present | 20 | 31.15 | 20 | 10 | 12.5 || **E3** | Packages Shipped | 30 | 6.29 | 30 | 50 | 10 || **E4** | Boxes Used | 18 | 2.01 | 40 | 400 | 22 |**Explanation:**- For "Boxes Used," the allowable range is determined by the constraint right-hand side (40) adjusted by the allowable increase and decrease. Thus, the range is from $ 18 - 22 = -4 $ to $ 18 + 400 = 418 $. - To maximize profits, focus on increasing constraints with the highest shadow prices. Here, increasing "Workers Present" may offer the greatest benefit as it has the highest shadow price of 31.15 compared to others.By utilizing this data, Jennifer can effectively strategize to optimize her company’s performance.

What is allowable range for "Boxes Used"? For boxes used, we can see that allowable increase is…

• What is the allowable range for "Boxes Used"? Additionally, Jennifer wants to increase profits to achieve a bigger bonus payout. She has 100% control over all workers, packages, and boxes. What is the most efficient way for her to increase company profits?

• What is the allowable range for "Boxes Used"? Additionally, Jennifer wants to increase profits to achieve a bigger bonus payout. She has 100% control over all workers, packages, and boxes. What is the most efficient way for her to increase company profits?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Question in the attachment, please, thank you

**Sensitivity Analysis and Profit Maximization**

Jennifer manages a shipping company with the objective of maximizing profit. Below is a sensitivity report addressing her current operational constraints.

**Questions:**

- **Allowable Range for "Boxes Used":** To determine this, review the "Allowable Increase" and "Allowable Decrease" for "Boxes Used."

- **Increasing Company Profits:** With full control over workers, packages, and boxes, identify the most efficient strategy to enhance profits.

**Constraints Analysis:**

| **Cell** | **Name** | **Final Value** | **Shadow Price** | **Constraint R.H. Side** | **Allowable Increase** | **Allowable Decrease** |
|----------|---------------------|-----------------|------------------|--------------------------|------------------------|------------------------|
| **E2** | Workers Present | 20 | 31.15 | 20 | 10 | 12.5 |
| **E3** | Packages Shipped | 30 | 6.29 | 30 | 50 | 10 |
| **E4** | Boxes Used | 18 | 2.01 | 40 | 400 | 22 |

**Explanation:**

- For "Boxes Used," the allowable range is determined by the constraint right-hand side (40) adjusted by the allowable increase and decrease. Thus, the range is from $ 18 - 22 = -4 $ to $ 18 + 400 = 418 $.

- To maximize profits, focus on increasing constraints with the highest shadow prices. Here, increasing "Workers Present" may offer the greatest benefit as it has the highest shadow price of 31.15 compared to others.

By utilizing this data, Jennifer can effectively strategize to optimize her company’s performance.

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