Problema Solution
a merchant selling wind chimes from a booth at a flea market. he rents to space for $125 perday. the profit from each wind chime sold is $12. his goal is to make $3500 in a five day work week. how many chimes he needs to sell in a week to meet his goal
Answer provided by our tutors
let
x = the number of chimes he needs to sell to meet his goal
12*x is the profit of x chimes sold
7*125 is the rent he needs to pay for a week (7 days)
so we have
the profit from x chimes - the rent for a week (7 days) = his goal #3500
12*x - 7*125 = 3500
x = (3500 + 7*125)/12
x = 4375/12
x = 364.583
he needs to sell at least 365 chimes to make at least $3505 profit
indeed
12*365 - 7*125 = 3505
if he sells 364 chimes (one less) his profit will be 3493
12*364 - 7*125 = 3493 < 3500
thus we conclude to meat his goal he must sell not less then 364 chimes.