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Math Help - Objective Function

  1. #1
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    Exclamation Objective Function

    I dont understand what I am suppose to do with this question. I get that I have to graph, but I am not too sure.


    An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

    Objective Function: z = 19x + 4y
    Constraints: 0 < than or equal to x < than or equal to 10
    0 < than or equal to y < than or equal to 5
    3x + 2y greater than or equal to 6
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by soly_sol View Post
    I dont understand what I am suppose to do with this question. I get that I have to graph, but I am not too sure.


    An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

    Objective Function: z = 19x + 4y
    Constraints: 0 < than or equal to x < than or equal to 10
    0 < than or equal to y < than or equal to 5
    3x + 2y greater than or equal to 6
    if you open the attachment, the value of z is inside the 4 colored lines..
    how would you get intersections of the lines? (i think, you would get 5 points) those points should be tested on your objective function.. which will give you the highest value is the one you are lokking for..
    Attached Thumbnails Attached Thumbnails Objective Function-objective-function.jpg  
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  3. #3
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    Quote Originally Posted by soly_sol View Post
    I dont understand what I am suppose to do with this question. I get that I have to graph, but I am not too sure....
    Hello,

    your question was answered here: http://www.mathhelpforum.com/math-help/85589-post2.html
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