# Thread: How to solve a linear programming question with "mixing

1. ## How to solve a linear programming question with "mixing

Hello.

I would like my fellow peers and forum members to see if I did the question properly.

(I really don't want members to just give away because that's cheap. Just tell me if I'm right on track to getting the correct answer)

A person wants to mix 2 colors to get mixture#1, and mixture#2. The person has 56 pieces of pink color and 93 pieces of green color. Each liter of mixture#1 requires 6 pieces of pink color and 5 pieces of green color. Each liter of mixture#2 requires 3 pieces of pink color and 12 pieces of red color.

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My strategy:

Let x represent pink color
Let y represent red color

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Constraints:

x is less than or equal to 56.
y is less than or equal to 93
mixture #1=6x + 5y is less than or equal to 1
mixture #2=3x + 12y is less than or equal to 1
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Objective Function:

Liters that can be mixed = (6x+5y) + (3x + 12y)

Graph accordingly. (graphing is easy in my opinion. Nothing to worry about)

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Is my answer correct? A simple yes or no question.

If it is wrong, I'll post and re-post different answers by tackling the problem differently until I get the correct answer. :P

Thanks guys!!