# College Algebra

a paper manufacturing company recycles paper, cans and other sheet metal. the profit on the paper is \$500 and the profit on the cans is \$350 per pound

A) write the objective function that models the daily profit
B) the manufacture is bound by the following constraints , namely:
*equipment allows at most 200lbs of can a day at the same time
*equipment allows at most 200lbs of paper per day
*equipment require at least 10kbs of paper and 80lbs of cans to operate
*equipment allows for recycling at msot 300bs of cans per day
C) graph the inequalities from equations in B
D)evaluate the objective function at each of the vertices and determine the mix of cans and paper for max profit

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1. x = paper
y = cans

p = 500 x + 350 y

y </= 200
x </= 200

x >/= 10
y >/= 80

I do not understand last constraint, redundant if y</=200
rectangle
corners at
(10, 80) (10,200) (200, 80) (200,200)
well, go ahead and evaluate p at each corner but obviously mas at (200,200)

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