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Taking x to be the number of plots used for Type X and y to be the number of plots used...

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yousawinner | Student, Undergraduate | (Level 1) Salutatorian

Posted September 11, 2012 at 3:30 PM via web

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Taking x to be the number of plots used for Type X and y to be the number of plots used for Type Y, write down 3 inequalities in x and y for the following case:

A farmer has plots for planting with two kinds of fruittrees, Type X and Type Y. Type X can only be planted 80 in a plot and Type Y only 40 in a plot. He has just enough workers who can plant at the most 640 plants during the time available.

He intends to plant atleast as many plots with Type X as with Type Y.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 11, 2012 at 4:31 PM (Answer #1)

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The number of plots used for Type X is x and the number of plots used for Type Y is y.

80 fruit trees of Type X can be plotted in a plot while only 40 of Type Y can be planted in a plot.

The number of workers with the farmer can plant a maximum of 640 trees.

This gives 80*x + 40*y <= 640

=> 2x + y <= 16

Also, 80*x <= 640

=> x <= 8

and 40*y <= 640

=> y <= 16

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