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josephpezza18
josephpezza18
04.01.2020 • 
Mathematics

The randolph family has a 100-acre farm where the family raises two crops, x and y. the
randolphs take part in a government grant program which requires them to plant at least 20
acres of each crop.
it costs the randolphs $20 per acre to raise crop x and $40 per acre to raise crop y. the family has
$2,600 to cover costs. this year, the profit from selling crop x is $25 per acre and the profit from
selling crop y is $60 per acre.
the randolphs want to calculate how many acres of each crop they should plant in order to maximize
their profit. on an xy-coordinate graph, where the x and y-values of a point represent the number of
acres of each crop planted, find:
 the equations for the constraints of the feasable region, and
 the coordinates that indicate the maximum profit.

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