Break Even Analysis: Profit & Loss Challenges for 9th Graders

A bakery sells cupcakes for $3 each and has fixed costs of $150 per month. Write a system of equations to find the break-even point where profit equals zero. Calculate the number of cupcakes needed to break even.

• 100

• 30

• 75

• 50

A concert venue charges $50 per ticket and has a fixed cost of $2000 for the event. Create a system of equations to determine how many tickets must be sold to break even. What is the profit if 80 tickets are sold?

• 50 tickets to break even; profit of $1000 if 80 tickets are sold.

• 30 tickets to break even; profit of $1500 if 80 tickets are sold.

• 20 tickets to break even; profit of $2500 if 80 tickets are sold.

• 40 tickets to break even; profit of $2000 if 80 tickets are sold.

A company produces two types of gadgets. The first type costs $20 to produce and sells for $30, while the second type costs $25 and sells for $35. Formulate a system of equations to find the break-even point for both types. How much profit is made if 100 of each type is sold?

• $1500

• $2500

• $3000

• $2000

A gym charges a monthly membership fee of $40 and has fixed costs of $1200. Write a system of equations to find the number of members needed to break even. If the gym has 50 members, what is the profit or loss?

• 50 members needed to break even; profit of $1000 with 50 members.

• 40 members needed to break even; profit of $600 with 50 members.

• 30 members needed to break even; profit of $800 with 50 members.

• 20 members needed to break even; loss of $200 with 50 members.

A clothing store has a fixed cost of $5000 and sells shirts for $25 each. Write a system of equations to determine how many shirts must be sold to break even. Calculate the profit if 200 shirts are sold.

• 300 shirts to break even; profit for 200 shirts sold is $500.

• 400 shirts to break even; profit for 200 shirts sold is $1000.

• 500 shirts to break even; profit for 200 shirts sold is $0.

• 600 shirts to break even; profit for 200 shirts sold is $200.

A tech company has a fixed cost of $10,000 and sells software for $100 per license. Formulate a system of equations to find the break-even point. If they sell 150 licenses, what is their profit?

• $10,000

• $5,000

• $2,000

• $7,500

A farmer sells apples for $1.50 per pound and has fixed costs of $300. Write a system of equations to find the break-even point. If the farmer sells 200 pounds, what is the profit?

• The break-even point is 250 pounds, and the profit when selling 200 pounds is $50.

• The break-even point is 300 pounds, and the profit when selling 200 pounds is $150.

• The break-even point is 100 pounds, and the profit when selling 200 pounds is $300.

• The break-even point is 200 pounds, and the profit when selling 200 pounds is $0.

A local theater charges $12 per ticket and has fixed costs of $3000. Create a system of equations to determine how many tickets must be sold to break even. What is the profit if 250 tickets are sold?

• 200 tickets must be sold to break even. The profit if 250 tickets are sold is $600.

• 300 tickets must be sold to break even. The profit if 250 tickets are sold is $500.

• 250 tickets must be sold to break even. The profit if 250 tickets are sold is $300.

• 250 tickets must be sold to break even. The profit if 250 tickets are sold is $0.

A coffee shop sells coffee for $4 per cup and has fixed costs of $800. Write a system of equations to find the break-even point. If the shop sells 250 cups, what is the profit?

• The break-even point is 200 cups, and the profit from selling 250 cups is $200.

• The break-even point is 250 cups, and the profit from selling 250 cups is $0.

• The break-even point is 300 cups, and the profit from selling 250 cups is $100.

• The break-even point is 150 cups, and the profit from selling 250 cups is $400.