Farmer Jane owns 45 acres of land. She is going to plant her land with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in the following table.     One hundred workers and 120 tons of fertilizer are available. A 2-variable LP model has been formulated to determine how Jane can maximize profits from her land, and then graphically solve it.   Please develop your code using any programming language (Matlab and Vb are preferred) to solve the LP model and find an optimal production plan. Hint: condition and looping structure. Please draw a flow chart for the program.

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Farmer Jane owns 45 acres of land. She is going to plant her land with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in the following table.

 

 

One hundred workers and 120 tons of fertilizer are available. A 2-variable LP model has been formulated to determine how Jane can maximize profits from her land, and then graphically solve it.

 

  • Please develop your code using any programming language (Matlab and Vb are preferred) to solve the LP model and find an optimal production plan. Hint: condition and looping structure.
  • Please draw a flow chart for the program.
**Resource Requirements Chart**

This table illustrates the labor and fertilizer requirements for growing wheat and corn.

| Resource | Wheat | Corn |
|----------|-------|------|
| Labor    | 3 workers | 2 workers |
| Fertilizer | 2 tons | 4 tons |

**Explanation:**
- **Labor**: Growing wheat requires 3 workers, while growing corn requires 2 workers.
- **Fertilizer**: Wheat production needs 2 tons of fertilizer, whereas corn needs 4 tons.

This information is useful for understanding the input resources necessary for producing each type of crop.
Transcribed Image Text:**Resource Requirements Chart** This table illustrates the labor and fertilizer requirements for growing wheat and corn. | Resource | Wheat | Corn | |----------|-------|------| | Labor | 3 workers | 2 workers | | Fertilizer | 2 tons | 4 tons | **Explanation:** - **Labor**: Growing wheat requires 3 workers, while growing corn requires 2 workers. - **Fertilizer**: Wheat production needs 2 tons of fertilizer, whereas corn needs 4 tons. This information is useful for understanding the input resources necessary for producing each type of crop.
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