Break-Even Point Challenges: Word Problems in Math

A bakery sells cupcakes for $3 each and has fixed costs of $150 per day. If the variable cost to make each cupcake is $1, how many cupcakes must the bakery sell to break even?

• 50

• 60

• 75

• 100

A company produces two types of gadgets: Type A and Type B. Type A costs $20 to produce and Type B costs $30. If the company has fixed costs of $500, how many of each type must they sell to break even if they want to make a total of $1,000?

• 10 Type A and 50 Type B gadgets

• 30 Type A and 30 Type B gadgets

• 20 Type A and 40 Type B gadgets

• 50 Type A and 10 Type B gadgets

A gym charges a monthly membership fee of $40 and has fixed costs of $1,200 per month. If the variable cost per member is $10, how many members does the gym need to break even?

• 50

• 30

• 60

• 40

A concert venue has a fixed cost of $2,000 for hosting an event. If tickets are sold for $50 each and the cost to organize the event is $20 per ticket, how many tickets must be sold to break even?

• 80

• 100

• 67

• 50

A lemonade stand sells lemonade for $2 per cup. The stand has fixed costs of $30 and a variable cost of $0.50 per cup. How many cups of lemonade must be sold to break even?

• 20

• 30

• 15

• 25

A clothing store sells shirts for $25 each. The fixed costs for the store are $1,000, and the variable cost to produce each shirt is $10. How many shirts must the store sell to break even?

• 50

• 80

• 100

• 67

A software company has fixed costs of $10,000 and sells its software for $200 per license. If the variable cost to produce each license is $50, how many licenses must be sold to break even?

• 67

• 80

• 50

• 100

A farmer sells baskets of strawberries for $15 each. The fixed costs for the farm are $300, and the variable cost per basket is $5. How many baskets must the farmer sell to break even?

• 40

• 25

• 35

• 30

A local theater charges $12 per ticket and has fixed costs of $1,500. If the variable cost per ticket is $3, how many tickets must be sold to break even?

• 150

• 167

• 180

• 200

A pizza shop sells pizzas for $10 each. The shop has fixed costs of $500 and a variable cost of $4 per pizza. How many pizzas must the shop sell to break even?

• 70

• 50

• 100

• 84