1. ## Linear programming problem.

I need some verification on my answer

A baker wants to make a minimum of 80 gourmet cupcakes and decides to make chocolate and vanilla cupcakes. However to make chocolate cupcakes she needs 2oz of cocoa powder which cost 1$an oz and can only spend 80$ on powder. She also has a vanilla cupcake oven that can hold a maximum of 90 cupcakes. She can sell chocolate cupcakes for 8$and vanilla for 6$ how many should she make to maximize revenue.

I got the constraints X+Y => 80 , 2x,<=80 , and y<=90
with a final maximum of (40,90) 860$Can anyone else do it to see if i got it right? 2. ## Re: Linear programming problem. Originally Posted by drossi45 I need some verification on my answer A baker wants to make a minimum of 80 gourmet cupcakes and decides to make chocolate and vanilla cupcakes. However to make chocolate cupcakes she needs 2oz of cocoa powder which cost 1$ an oz and can only spend 80$on powder. She also has a vanilla cupcake oven that can hold a maximum of 90 cupcakes. She can sell chocolate cupcakes for 8$ and vanilla for 6$how many should she make to maximize revenue. I got the constraints X+Y => 80 , 2x,<=80 , and y<=90 with a final maximum of (40,90) 860$

Can anyone else do it to see if i got it right?
A better idea is for you to show your working, and we'll check it for you.

3. ## Re: Linear programming problem.

Hello, drossi45!

A baker wants to make a minimum of 80 chocolate and vanilla cupcakes.
To make chocolate cupcakes. she needs 2 oz of cocoa powder
which cost $1 an oz and can only spend$80 on powder.
She also has a vanilla cupcake oven that can hold a maximum of 90 cupcakes.
She can sell chocolate cupcakes for $8 and vanilla for$6.
How many should she make to maximize revenue.

I got the constraints: $\displaystyle x+y\,\ge\,80,\;2x\,\le\,80,\;y\,\le\,90$
. . with a final maximum of: (40,90), \$860.

Can anyone else do it to see if i got it right?

But did you sketch the region correctly?

Code:
      |
90 o - - ♥
|:::::|
80 o:::::|
| *:::|
|   *:|
|     o
|     | *
|     |   *
- - + - - + - - * - -
|    40    80
|