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? *

9400 backpacks

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 7800

20x - 11,000 7,800

20x 7800+ 11000

20x 18,800

x 18800/2

x 9,400

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

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

51-50

step-by-step explanation: