The function for this word problem is:
P(x) = (550 + 20x)(99-x)
Where P is profit and x is just an incremental variable. Graph function to find the maximum profit, and the maximum the store should charge for each pair of shoes.
The function maxes at:
x = 36
P(x) = 80,000
So, the max the store should charge for each pair of shoes is (99-x) = (99-36) = $63
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