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# Maths Inequalities watch

1. Hello, What would be the inequalitie for the following problem,

A company can produce up to 10 truckloads per hour of X or up to 5 truckloads per hour of Y.

cheers
2. X <= 10, Y <= 5.
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4. (Original post by Nylex)
X <= 10, Y <= 5.
Hello, Did you mean to say the |X| <= 10. and |Y|<=5 or just as how you have written before.

cheers
5. Why would you need the modulus signs? The company cant produce negative amounts.
6. (Original post by pruts)
Hello, Did you mean to say the |X| <= 10. and |Y|<=5 or just as how you have written before.

cheers
the company cant produce e.g. -7 goods per truckload, can they? (unless they are producing electric charges or antimatter)
7. (Original post by elpaw)
the company cant produce e.g. -7 goods per truckload, can they? (unless they are producing electric charges or antimatter)
Hello, Is it necessary to include 0 as the company could produce no Loads of X or Y .

cheers
8. (Original post by pruts)
Hello, Is it necessary to include 0 as the company could produce no Loads of X or Y .

cheers
yes, so the inequalities are 0<=x<=10 0<=y<=5

but are x and y linked in some way? for example, is 2 lots of x equal to one lot of y? so if they are producing 8 truckloads of x, they can only produce 1 truckload of y?
9. (Original post by elpaw)
yes, so the inequalities are 0<=x<=10 0<=y<=5

but are x and y linked in some way? for example, is 2 lots of x equal to one lot of y? so if they are producing 8 truckloads of x, they can only produce 1 truckload of y?
At this stage of the production I can deduce from the question that they are not related. But later on

they give you limits ie The trucks available can carry up to 6 loads of X per hour or up to 10 loads per hour of Y .
and so for this phase they require to work out the inequalities again. ( truck capacity measurement)

Final phase, it says no more then 7 loads per hour can be handled at the loading phase of the operation. They want inequalitiy for this as well( loading phase)

and the profit per truckload of X is \$40 and per trucload of Y is \$60.

cheers
10. (Original post by pruts)
Hello, What would be the inequalitie for the following problem,

A company can produce up to 10 truckloads per hour of X or up to 5 truckloads per hour of Y.

cheers
He said or, so I think this would be correct.

0< x + 2y <= 10
11. (Original post by mik1a)
He said or, so I think this would be correct.

0< x + 2y <= 10
but then or could be strictly or. i e he can only produce x or y, not both at the same time.
12. I'm assuming that x takes half the work to produce than y. You're correct, but you have to make that assumption, because the word or means that two seperate inequalities for x and y won't ever work. x could be 10 and y could be 5 according to the first solution, which is clearly wrong.

I'm assuming there is a linear relationship.
13. (Original post by elpaw)
but then or could be strictly or. i e he can only produce x or y, not both at the same time.
Hello, The question asks to work out inequalities at each seperate production phases.

1) THe company can produce up to 10 truck loads of X per hour or up to 5 truckloads per hour of Y.

2) The trucks available can carry up to 6 loads of X per hour or up to 10 loads per hour of Y .
and so for this phase they require to work out the inequalities again. ( truck capacity measurement)

3)Final phase, it says no more then 7 loads per hour can be handled at the loading phase of the operation. They want inequalitiy for this as well( loading phase)

I think that the question implies 'AND' in statistical terms ie X AND Y can be produced. t

so therefore would the inequality 0< x + 2y <= 10 be ok for 1st phase.

chhers
15. (Original post by pruts)
Hello, What would be the inequalitie for the following problem,

A company can produce up to 10 truckloads per hour of X or up to 5 truckloads per hour of Y.

cheers
0 <= x <= 10 OR 0 <= y <= 5

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