Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A factory sells backpacks for 
$40.00 each. The cost to make 1 backpack is 
$10.00. In addition to the costs of making backpacks, the factory has operating expenses of 
$12,000 per week. The factory's goal is to make a profit of at least 
$980 each week. Which inequality represents the number of backpacks, 
x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?
Select the inequality that represents this situation and select the correct statement.
DRAG & DROP THE ANSWLR
The factory must sell a minimum of 368 backpacks to meet the weekly goal.

30 x+12,000 >= 980
The factory must sell a minimum of 432 backpacks to meet the weekly goal.
Inequality
EMILY WILLIAMS
Question 13/28
B
BOosмана
Which of the following opress 
×
chools org bookmarks
David Dencr Crock.
schoed things 9 why was the diectio-
4 games
is tiat alye
Rchard Watterson L.
Typina Lemsons 4
Al Bockm
(3) EMILY WILLIAMS
(6)
The factory must sel.

A factory sells backpacks for $40.00 \$ 40.00 each. The cost to make 11 backpack is $10.00 \$ 10.00 . In addition to the costs of making backpacks, the factory has operating expenses of $12,000 \$ 12,000 per week. The factory's goal is to make a profit of at least $980 \$ 980 each week. Which inequality represents the number of backpacks, x x , that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?\newlineSelect the inequality that represents this situation and select the correct statement.\newlineDRAG \& DROP THE ANSWLR\newlineThe factory must sell a minimum of 368368 backpacks to meet the weekly goal.\newline30x+12,000980 30 x+12,000 \geq 980 \newlineThe factory must sell a minimum of 432432 backpacks to meet the weekly goal.\newlineInequality\newlineEMILY WILLIAMS\newlineQuestion 1313/2828\newlineB\newlineBOosмана\newlineWhich of the following opress × \times \newlinechools org bookmarks\newlineDavid Dencr Crock.\newlineschoed things 99 why was the diectio-\newline44 games\newlineis tiat alye\newlineRchard Watterson L.\newlineTypina Lemsons 44\newlineAl Bockm\newline(33) EMILY WILLIAMS\newline(66)\newlineThe factory must sel.

Full solution

Q. A factory sells backpacks for $40.00 \$ 40.00 each. The cost to make 11 backpack is $10.00 \$ 10.00 . In addition to the costs of making backpacks, the factory has operating expenses of $12,000 \$ 12,000 per week. The factory's goal is to make a profit of at least $980 \$ 980 each week. Which inequality represents the number of backpacks, x x , that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?\newlineSelect the inequality that represents this situation and select the correct statement.\newlineDRAG \& DROP THE ANSWLR\newlineThe factory must sell a minimum of 368368 backpacks to meet the weekly goal.\newline30x+12,000980 30 x+12,000 \geq 980 \newlineThe factory must sell a minimum of 432432 backpacks to meet the weekly goal.\newlineInequality\newlineEMILY WILLIAMS\newlineQuestion 1313/2828\newlineB\newlineBOosмана\newlineWhich of the following opress × \times \newlinechools org bookmarks\newlineDavid Dencr Crock.\newlineschoed things 99 why was the diectio-\newline44 games\newlineis tiat alye\newlineRchard Watterson L.\newlineTypina Lemsons 44\newlineAl Bockm\newline(33) EMILY WILLIAMS\newline(66)\newlineThe factory must sel.
  1. Calculate Profit per Backpack: Calculate the profit per backpack:\newlineProfit per backpack = Selling price - Cost price\newline= $40\$40 - $10\$10\newline= $30\$30 per backpack
  2. Set Up Inequality: Set up the inequality to find the minimum number of backpacks xx needed to cover the operating expenses and make at least $980\$980 profit:\newlineTotal weekly profit = 30x12,00030x - 12,000\newlineWe need this to be at least $980\$980:\newline30x12,00098030x - 12,000 \geq 980
  3. Solve Inequality: Solve the inequality:\newline30x12,00098030x - 12,000 \geq 980\newlineAdd 12,00012,000 to both sides:\newline30x12,98030x \geq 12,980\newlineDivide by 3030:\newlinex432.67x \geq 432.67
  4. Round Up to Nearest Whole Number: Since xx must be a whole number, round 432.67432.67 up to the nearest whole number:\newlinex433x \geq 433

More problems from One-step inequalities: word problems