Stuck on a problem

anthelea

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Nov 18, 2009
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Ok, so I'm not getting anywhere with this problem, and I could really do with some help, or just someone to point out where to start.

"A factory manufactures two kinds of tires, grooved ones and plain (that's not the correct English word, is it?) ones. The factory has to deliver a minimum of 1500 tires per truck load, of which at least 900 has to be grooved, and at least 400 plain.

The tires have to be packed in boxes, of which there are two kinds. Box A holds 5 plain and 15 grooved tires, a total of 20 tires. Box B holds 10 plain and 12 grooved ones, a total of 22. A truck can't hold more than 120 boxes at once.

Let x represent the number of boxes of type A, and y represent boxes of type B."

I just need to find all the inequations and graph it, but I have no idea where to begin.
 
To begin, use what you learned back in beginning algebra about translating English phrases and sentences into algebraic expressions and equations.

For instance, you are given variables and their definitions, and are given a maximum for the total number of boxes. This allows you to create your first inequality.

You are also given relationships between the numbers of the types of tires and the capacities of the boxes. See where this leads.... :wink:
 
anthelea said:
Ok, so I'm not getting anywhere with this problem, and I could really do with some help, or just someone to point out where to start.

"A factory manufactures two kinds of tires, grooved ones and plain (that's not the correct English word, is it?) ones. The factory has to deliver a minimum of 1500 tires per truck load, of which at least 900 has to be grooved, and at least 400 plain.

The tires have to be packed in boxes, of which there are two kinds. Box A holds 5 plain and 15 grooved tires, a total of 20 tires. Box B holds 10 plain and 12 grooved ones, a total of 22. A truck can't hold more than 120 boxes at once.

Let x represent the number of boxes of type A, and y represent boxes of type B."

The first inequality would be

x + y ? 120[/spoiler:15nqj09l]
I just need to find all the inequations and graph it, but I have no idea where to begin.
 
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