or a product mix linear programming problem, we use three materials (A, B and C) to make two products (X and Y) to maximize total profit. The following screenshot is the Answer Report generated by Excel.   Given above report, which statement is FALSE?

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11. 

For a product mix linear programming problem, we use three materials (A, B and C) to make two products (X and Y) to maximize total profit. The following screenshot is the Answer Report generated by Excel.

 

Given above report, which statement is FALSE?

 

Select one:
a.

 

The Material C is used up given the optimal solution.


 

b.

 

The optimal solution is making 5 units of Product X only.


 

c.

 

The Material B is used up given the optimal solution.


 

d.

 

The optimized (maximum) profit is $60

For a product mix linear programming problem, we use three materials (A, B, and C) to make two products (X and Y) with the goal of maximizing total profit. The following screenshot is the Answer Report generated by Excel.

---

**Objective Cell (Max):**

| Cell  | Name             | Original Value | Final Value |
|-------|------------------|----------------|-------------|
| C17   | Max Z: Profit    | 22             | 60          |

**Variable Cells:**

| Cell  | Name            | Original Value | Final Value | Integer |
|-------|-----------------|----------------|-------------|---------|
| B4    | # units Product X | 1              | 5           | Contin  |
| C4    | # units Product Y | 1              | 0           | Contin  |

**Constraints:**

| Cell  | Name               | Cell Value | Formula            | Status    | Slack |
|-------|--------------------|------------|--------------------|-----------|-------|
| D11   | Material A LHS (used) | 10         | $D$11<=$F$11        | Binding   | 0     |
| D12   | Material B LHS (used) | 10         | $D$12<=$F$12        | Not Binding | 2     |
| D13   | Material C LHS (used) | 5          | $D$13<=$F$13        | Binding   | 0     |

---

**Question:**

Given the above report, which statement is FALSE?

**Select one:**

- a. The Material C is used up given the optimal solution.
Transcribed Image Text:For a product mix linear programming problem, we use three materials (A, B, and C) to make two products (X and Y) with the goal of maximizing total profit. The following screenshot is the Answer Report generated by Excel. --- **Objective Cell (Max):** | Cell | Name | Original Value | Final Value | |-------|------------------|----------------|-------------| | C17 | Max Z: Profit | 22 | 60 | **Variable Cells:** | Cell | Name | Original Value | Final Value | Integer | |-------|-----------------|----------------|-------------|---------| | B4 | # units Product X | 1 | 5 | Contin | | C4 | # units Product Y | 1 | 0 | Contin | **Constraints:** | Cell | Name | Cell Value | Formula | Status | Slack | |-------|--------------------|------------|--------------------|-----------|-------| | D11 | Material A LHS (used) | 10 | $D$11<=$F$11 | Binding | 0 | | D12 | Material B LHS (used) | 10 | $D$12<=$F$12 | Not Binding | 2 | | D13 | Material C LHS (used) | 5 | $D$13<=$F$13 | Binding | 0 | --- **Question:** Given the above report, which statement is FALSE? **Select one:** - a. The Material C is used up given the optimal solution.
Expert Solution
Step 1 Introduction;-

Linear programming is a mathematical technique that is also used in operations management departments. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.

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