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 ANSWLRThe factory must sell a minimum of 368 backpacks to meet the weekly goal.30x+12,000≥980The factory must sell a minimum of 432 backpacks to meet the weekly goal.InequalityEMILY WILLIAMSQuestion 13/28BBOosманаWhich of the following opress ×chools org bookmarksDavid Dencr Crock.schoed things 9 why was the diectio-4 gamesis tiat alyeRchard Watterson L.Typina Lemsons 4Al Bockm(3) EMILY WILLIAMS(6)The factory must sel.
Q. 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 ANSWLRThe factory must sell a minimum of 368 backpacks to meet the weekly goal.30x+12,000≥980The factory must sell a minimum of 432 backpacks to meet the weekly goal.InequalityEMILY WILLIAMSQuestion 13/28BBOosманаWhich of the following opress ×chools org bookmarksDavid Dencr Crock.schoed things 9 why was the diectio-4 gamesis tiat alyeRchard Watterson L.Typina Lemsons 4Al Bockm(3) EMILY WILLIAMS(6)The factory must sel.
Calculate Profit per Backpack: Calculate the profit per backpack:Profit per backpack = Selling price - Cost price= $40 - $10= $30 per backpack
Set Up Inequality: Set up the inequality to find the minimum number of backpacks x needed to cover the operating expenses and make at least $980 profit:Total weekly profit = 30x−12,000We need this to be at least $980:30x−12,000≥980
Solve Inequality: Solve the inequality:30x−12,000≥980Add 12,000 to both sides:30x≥12,980Divide by 30:x≥432.67
Round Up to Nearest Whole Number: Since x must be a whole number, round 432.67 up to the nearest whole number:x≥433
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