Question

A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *

Answer 1

Answer:9400 backpacks

$\geq$Step-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 $\geq$ 7800

20x - 11,000 $\geq$ 7,800

20x $\geq$ 7800+ 11000

20x $\geq$ 18,800

x $\geq$ 18800/2

x $\geq$ 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800