Finding inequalities for the constraints?

A painter has exactly 32 units of yellow dye and 54 units of green dye. He plans to mix as many gallons as possible of color A and color B. Each gallon of color A requires 4 units of yellow dye and 1 unit of green dye. Each gallon of color B requires 1 unit of yellow dye and 6 units of green dye.

Let x be the number of gallons of color A and let y be the number of gallons of color B. Write the inequalities.

Please explain how to pull out the inequalities out of such a problem, and perhaps what you came up with as your inequalities, but the more important question is how you solved this. Thank you.

Top 1 Answers

A few days ago

Favorite Answer

I assume by your question that he wants as many mixes of A and B as possible

so 4 yellow + 1 green + 1 yellow + 6 green

= 5 yellow + 7 green should be as high as possible but is constrained by the amount of units of yellow dye. This is a maximum of 32/5 = 6 (rounded downwards) – This doesn’t allow any more than this.

? I think in terms of x and y:

? x+ y = 12

?(your mix contains 2 gallons and you will need 6 of them for

?the maximum mix.)

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sorry, I’m confused but I tried!

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Finding inequalities for the constraints?

Finding inequalities for the constraints?

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