Consider the following product structure. If the demand for product A is 50 units, how many units of component D will be needed?Part 2 A.200 B.300 C.50 D.100 E.150 ### Product Structure Analysis#### Diagram ExplanationThe diagram provided represents a product structure for item A and its sub-components. It is a hierarchical breakdown indicating how the final product, A, is assembled from various subcomponents B, C, D, E, and F.Here is a detailed breakdown of the diagram:1. **A**: The final product (top-level component).2. **B (1)**: One unit of component B is required for product A. - **D (2)**: Two units of component D are required for product B. - **E (1)**: One unit of component E is required for product B. - **F (2)**: Two units of component F are required for product B.3. **C (1)**: One unit of component C is required for product A. - **D (1)**: One unit of component D is required for component C. - **F (1)**: One unit of component F is required for component C.#### Question Analysis**Question**: If the demand for product A is 50 units, how many units of component D will be needed?**Answer Choices**:- A. 200- B. 300- C. 50- D. 100- E. 150To determine the total number of units of component D needed, we analyze its hierarchy:- From **component B**: - Each unit of B needs 2 units of D. - Hence, for 1 unit of A, \(B\) needs \(2 \text{ units of } D\). - For 50 units of A, \(B\) needs \(50 \times 2 = 100 \text { units of } D\).- From **component C**: - Each unit of C needs 1 unit of D. - Hence, for one unit of A, \(C\) needs \(1 \text{ unit of } D\). - For 50 units of A, \(C\) needs \(50 \times 1 = 50 \text { units of } D\).Adding both demands together:- Total units of D needed = \(100 \,\text{units}\) (from B) + \(50\, \text{units}\) (from C) = \(150 \, \text{units}\)Thus,

Demand for component A = 50Unit available of item D = 1

Answered: If the demand for product A is 50…

If the demand for product A is 50 units, how many units of component D will be needed? A. 200 O B. 300 O C. 50 O D. 100 O E. 150

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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Part 2

200

300

100

150

### Product Structure Analysis

#### Diagram Explanation

The diagram provided represents a product structure for item A and its sub-components. It is a hierarchical breakdown indicating how the final product, A, is assembled from various subcomponents B, C, D, E, and F.

Here is a detailed breakdown of the diagram:

1. **A**: The final product (top-level component).
2. **B (1)**: One unit of component B is required for product A.
- **D (2)**: Two units of component D are required for product B.
- **E (1)**: One unit of component E is required for product B.
- **F (2)**: Two units of component F are required for product B.
3. **C (1)**: One unit of component C is required for product A.
- **D (1)**: One unit of component D is required for component C.
- **F (1)**: One unit of component F is required for component C.

#### Question Analysis

**Question**: If the demand for product A is 50 units, how many units of component D will be needed?

**Answer Choices**:
- A. 200
- B. 300
- C. 50
- D. 100
- E. 150

To determine the total number of units of component D needed, we analyze its hierarchy:

- From **component B**:
- Each unit of B needs 2 units of D.
- Hence, for 1 unit of A, \(B\) needs \(2 \text{ units of } D\).
- For 50 units of A, \(B\) needs \(50 \times 2 = 100 \text { units of } D\).

- From **component C**:
- Each unit of C needs 1 unit of D.
- Hence, for one unit of A, \(C\) needs \(1 \text{ unit of } D\).
- For 50 units of A, \(C\) needs \(50 \times 1 = 50 \text { units of } D\).

Adding both demands together:
- Total units of D needed = \(100 \,\text{units}\) (from B) + \(50\, \text{units}\) (from C) = \(150 \, \text{units}\)

Thus,

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