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Thread: furniture e5q17 *

  1. #1
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    furniture e5q17 *

    a furniture store displays bedroom sets which requires 21 square meters of space and living room sets which require 42 square meters of space. the store,which has 546 square meters of available space, wants to display at least 6 bedroom sets and at least 5 living room sets.
    let x = number of bedroom sets
    let y = number of livingroom sets
    problem: write a system of inequalities to represent the number of furniture sets that can be displayed
    problem: if a bedroom set sells for $10,000 and a livingroom set sells for $18,000, determine the number of bedroom sets and livingroom sets that must be sold to maximize the amout collected

    please help

  2. #2
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    Re: furniture e5q17

    This one is pretty straightforward.

    They want to sell at least 6 bedroom sets. [tex]x\geq 6[/tex]

    They want to sell at least 5 living room sets. [tex]y\geq 5[/tex]

    Since a bedroom suite takes up 21 m^2 each, wouldn't the total amount they take up be 21x?.

    Same reasoning for the living room suites.

    Altogether they can not take up more than 546 m^2.

    [tex]21x+42y\leq 546[/tex]

  3. #3
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    Re: furniture e5q17

    problem: if a bedroom set sells for $10,000 and a livingroom set sells for $18,000, determine the number of bedroom sets and livingroom sets that must be sold to maximize the amout collected

    thanks for answer to first half of problem

  4. #4
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    Re: furniture e5q17

    Quote Originally Posted by tamiatha
    problem: if a bedroom set sells for $10,000 and a livingroom set sells for $18,000, determine the number of bedroom sets and livingroom sets that must be sold to maximize the amout collected

    thanks for answer to first half of problem
    Okay so tell us how would you do the second half?

    To start

    write an equation to describe the "amount collected" (in terms of 'x' & 'y' - as defined in the first part of the problem)
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  5. #5
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    Re: furniture e5q17 w

    the symbol you placed bewteen x and y(the one you used in your hint on how to get me started for part 2),what does it mean
    thank you

  6. #6
    Elite Member stapel's Avatar
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    Quote Originally Posted by tamiatha
    the symbol you placed bewteen x and y(the one you used in your hint on how to get me started for part 2),what does it mean
    The "ampersand" symbol (probably "Shift-7" on your keyboard) stands for "and".

  7. #7
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    Re: furniture e5q17 w

    i give up

  8. #8
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    Re: furniture e5q17 w

    I admire your efforts to try to learn this material yourself. BUT, as you have seen, it's very difficult to do this online. I suggest that you try to find a tutor who can sit down with you and work "face-to-face." It may seem like an expensive proposition, but I'm sure that, in the end, you'll realize the value of this expenditure.

  9. #9
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    Re: furniture e5q17 w

    If it's that symbol you're giving up on(!), go here:
    http://en.wikipedia.org/wiki/Ampersand
    I'm just an imagination of your figment !

  10. #10
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    Re: furniture e5q17 w

    i was Not confused by the ampersand

    thanks to everyone on the forum for all their help over the past few months
    i can't afford a tutor but greatly appreciate all the time and help that all of you have provided me


    later

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