6] Please carefully read the following scenario: (Image attached) The total number of decision variables in this problem is: A. 5 B. 3 C. 4 D. 2   [7] The total number of constraints in this problem, including non-negativity constraints is:   A. 9 B. 5 C. 3 D. 7

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[6] Please carefully read the following scenario:

(Image attached)

The total number of decision variables in this problem is:

A. 5
B. 3
C. 4
D. 2

 
[7] The total number of constraints in this problem, including non-negativity constraints is:
 
A. 9
B. 5
C. 3
D. 7
**Scenario: Magazine Production Optimization**

A publishing house produces three weekly magazines: **Daily Life**, **Agriculture Today**, and **Surf’s Up**. The production of one issue of each magazine requires specific amounts of production time and paper:

| Magazine          | Production (hr.) | Paper (lb.) |
|-------------------|------------------|-------------|
| Daily Life        | 0.01             | 0.2         |
| Agriculture Today | 0.03             | 0.5         |
| Surf’s Up         | 0.02             | 0.3         |

Each week, the publisher has 120 hours of production time and 3,000 pounds of paper. To maintain advertising contracts, the total circulation of all magazines must exceed 5,000 issues weekly. The selling prices per issue are as follows: $2.25 for **Daily Life**, $4.00 for **Agriculture Today**, and $1.50 for **Surf’s Up**.

From past sales data, the maximum weekly demand is:
- **Daily Life**: 3,000 issues
- **Agriculture Today**: 2,000 issues
- **Surf’s Up**: 6,000 issues

The objective is to determine the optimal number of each magazine to produce to maximize total sales revenue.

**Graph/Diagram Explanation:**
(Not applicable; there are no graphs or diagrams.)

**Question:**
What is the total number of decision variables in this problem?

- ○ 5
- ○ 3
- ○ 4
- ○ 2

(Note: The correct answer is 3, representing the number of magazines to optimize production for.)
Transcribed Image Text:**Scenario: Magazine Production Optimization** A publishing house produces three weekly magazines: **Daily Life**, **Agriculture Today**, and **Surf’s Up**. The production of one issue of each magazine requires specific amounts of production time and paper: | Magazine | Production (hr.) | Paper (lb.) | |-------------------|------------------|-------------| | Daily Life | 0.01 | 0.2 | | Agriculture Today | 0.03 | 0.5 | | Surf’s Up | 0.02 | 0.3 | Each week, the publisher has 120 hours of production time and 3,000 pounds of paper. To maintain advertising contracts, the total circulation of all magazines must exceed 5,000 issues weekly. The selling prices per issue are as follows: $2.25 for **Daily Life**, $4.00 for **Agriculture Today**, and $1.50 for **Surf’s Up**. From past sales data, the maximum weekly demand is: - **Daily Life**: 3,000 issues - **Agriculture Today**: 2,000 issues - **Surf’s Up**: 6,000 issues The objective is to determine the optimal number of each magazine to produce to maximize total sales revenue. **Graph/Diagram Explanation:** (Not applicable; there are no graphs or diagrams.) **Question:** What is the total number of decision variables in this problem? - ○ 5 - ○ 3 - ○ 4 - ○ 2 (Note: The correct answer is 3, representing the number of magazines to optimize production for.)
**QUESTION 7**

[7] The total number of constraints in this problem, including non-negativity constraints is:

- ○ 9
- ○ 5
- ○ 3
- ○ 7
Transcribed Image Text:**QUESTION 7** [7] The total number of constraints in this problem, including non-negativity constraints is: - ○ 9 - ○ 5 - ○ 3 - ○ 7
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