Break Even Analysis: Real-World Math Scenarios

A bakery sells cupcakes for $3 each and cookies for $2 each. If the bakery's fixed costs are $100, how many cupcakes and cookies must they sell to break even?

• 0 cupcakes and 100 cookies

• 50 cupcakes and 0 cookies

• There are multiple combinations of cupcakes and cookies that can be sold to break even, such as 0 cupcakes and 50 cookies, or 10 cupcakes and 35 cookies.

• 25 cupcakes and 0 cookies

A concert venue charges $50 per ticket and has fixed costs of $2000. If they also sell merchandise that brings in an additional $10 per ticket, how many tickets must they sell to break even?

• 30

• 34

• 50

• 40

A company produces two types of gadgets: Type A costs $20 to make and sells for $30, while Type B costs $15 to make and sells for $25. If the company has fixed costs of $500, how many of each type must they sell to break even?

• x + y = 60

• x + y = 40

• x + y = 30

• x + y = 50, where x is the number of Type A and y is the number of Type B gadgets.

A gym charges a monthly membership fee of $40 and has fixed costs of $1200. If they also offer personal training sessions at $30 each, how many memberships and sessions must they sell to break even?

• 5 memberships and 30 sessions

• 30 memberships and 0 sessions, or 0 memberships and 40 sessions.

• 10 memberships and 20 sessions

• 20 memberships and 10 sessions

A farmer sells apples for $1.50 per pound and has fixed costs of $300. If the cost to grow the apples is $0.50 per pound, how many pounds must the farmer sell to break even?

• 450 pounds

• 600 pounds

• 150 pounds

• 300 pounds

A clothing store sells shirts for $25 each and has fixed costs of $1500. If the cost to produce each shirt is $10, how many shirts must they sell to break even?

• 50

• 100

• 200

• 75

A software company charges $100 for a software license and has fixed costs of $5000. If the cost to produce each license is $30, how many licenses must they sell to break even?

• 50

• 100

• 90

• 72

A restaurant sells meals for $15 each and has fixed costs of $2000. If the cost to prepare each meal is $5, how many meals must they sell to break even?

• 150

• 250

• 300

• 200

A toy manufacturer produces toys that cost $8 to make and sells for $15. If their fixed costs are $1000, how many toys must they sell to break even?

• 143

• 120

• 200

• 100

A printing company charges $2 per page and has fixed costs of $400. If the cost to print each page is $0.50, how many pages must they print to break even?

• 250

• 300

• 267

• 200