Skip to content

Update README.md #288

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 1 commit into from
Mar 26, 2025
Merged

Update README.md #288

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
26 changes: 13 additions & 13 deletions README.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -141,7 +141,7 @@ A chocolate manufacturer has a stock of chocolates, consisting of 130 kg with ch

### ***Objective Function***

### [Maximize]():
### ➢ [Maximize]():

$$
Z = 20x_1 + 12.5x_2
Expand All @@ -153,7 +153,7 @@ Z = 20x_1 + 12.5x_2

<br>

### [Subject to Constraints]():
### ➣ [Subject to Constraints]():

$$
\begin{cases}
Expand All @@ -173,12 +173,12 @@ $$

<br>

### [Solution Steps()
### [Solution Steps():


1. Express the cherry chocolate constraint:

$$\frac{x_1}{2} + \frac{x_2}{3} \leq 130$$

$$\frac{x_1}{2} + \frac{x_2}{3} \leq 130$$

```latex
\frac{x_1}{2} + \frac{x_2}{3} \leq 130
Expand All @@ -188,21 +188,21 @@ $$\frac{x_1}{2} + \frac{x_2}{3} \leq 130$$

2. Express the mint chocolate constraint:

$$\frac{x_1}{2} + \frac{2x_2}{3} \leq 170$$
$$\frac{x_1}{2} + \frac{2x_2}{3} \leq 170$$

```latex
\frac{x_1}{2} + \frac{2x_2}{3} \leq 170
```
```latex
\frac{x_1}{2} + \frac{2x_2}{3} \leq 170
```

<br>
<br><br>

## Solve the system using the **Simplex Method** or an optimization tool.
## Solve the system using the **Simplex Method** or an optimization tool.

<br>

### Optimal Solution:
### [Optimal Solution]():

#### [Solving the system yields]():
#### Solving the system yields:

$$
(x_1, x_2) = (180, 120)
Expand Down