Linear Programming Mixture Problem

[Scremin34Egl]

Hi, I am not new to linear programming but I am new to this type of problem. I am just so confused.
Could someone explain this problem for me or show me how to do it

 

[Deleted member 4993]

Hi, I am not new to linear programming but I am new to this type of problem. I am just so confused.
Could someone explain this problem for me or show me how to do it

Please share your work with us.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")

Start with -

x + y ≥ 5 .......................................................................... (1)

0.5 * x + 0.2 * y ≤ 2 ........................................................ (2)

0.1 * x + 0.2 * y ≤ 1.2 ..................................................... (3)....... fixed a typo

 

[JeffM]

Hi, I am not new to linear programming but I am new to this type of problem. I am just so confused.
Could someone explain this problem for me or show me how to do it


View attachment 3076

Let's start at the beginning.

For an ordinary linear programming problem, what are your two preliminary steps in a solution? One is to specify an objective function. The other is to specify what?

If you were to take those two preliminary steps for this problem, what would you come up with?

What makes this problem different from the typical linear programming problem?

 

[Scremin34Egl]

Start with -

x + y ≥ 5 .......................................................................... (1)

0.5 * x + 0.2 * y ≤ 2 ........................................................ (2)

0.2 * x + 0.1 * y ≤ 1.2 ..................................................... (3)

Oh, I see what you did there, you grouped the flour and the sugar for each cake and compared it to the minimum amount.
Although, I think you made a mistake for the 3rd inequality, should be:

0.1x + 0.2y <= 1.2

Is their more constraints?, or is that it?

 

[Deleted member 4993]

Oh, I see what you did there, you grouped the flour and the sugar for each cake and compared it to the minimum amount.
Although, I think you made a mistake for the 3rd inequality, should be:

0.1x + 0.2y <= 1.2

Is their more constraints?, or is that it?

Thanks for catching the typo. I fixed it.

Now read the problem over again and you tell us....

In addition, read JeffM's response above and answer his questions.

 

[Deleted member 4993]

Ahem! Yes, -- --- ------

Looks a like cryptic clue (2,3,6) - I am going to plead ignorance so that I get to play outside longer......