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Break-Even worksheet

Grades 7–8 · CCSS 7.EE.B.4.a

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Fixed costs: $9,000
    • Selling price per unit: $28
    • Variable cost per unit: $18

    Find: Break-even units (rounded up)

  2. Problem 2.
    • Fixed costs: $7,600
    • Selling price per unit: $20
    • Variable cost per unit: $10

    Find: Break-even units (rounded up)

  3. Problem 3.
    • Fixed costs: $10,750
    • Selling price per unit: $30
    • Variable cost per unit: $18

    Find: Break-even units (rounded up)

  4. Problem 4.
    • Fixed costs: $9,000
    • Selling price per unit: $20
    • Variable cost per unit: $12

    Find: Break-even units (rounded up)

  5. Problem 5.
    • Fixed costs: $11,000
    • Selling price per unit: $24
    • Variable cost per unit: $22

    Find: Break-even units (rounded up)

  6. Problem 6.
    • Fixed costs: $11,600
    • Selling price per unit: $30
    • Variable cost per unit: $16

    Find: Break-even units (rounded up)

  7. Problem 7.
    • Fixed costs: $12,250
    • Selling price per unit: $20
    • Variable cost per unit: $16

    Find: Break-even units (rounded up)

  8. Problem 8.
    • Fixed costs: $11,750
    • Selling price per unit: $25
    • Variable cost per unit: $15

    Find: Break-even units (rounded up)

  9. Problem 9.
    • Fixed costs: $6,500
    • Selling price per unit: $24
    • Variable cost per unit: $14

    Find: Break-even units (rounded up)

  10. Problem 10.
    • Fixed costs: $11,250
    • Selling price per unit: $24
    • Variable cost per unit: $14

    Find: Break-even units (rounded up)

Answer key: Break-Even worksheet

  1. 1. Break-even units (rounded up): 900

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $28.00−$18.00=$10.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $9,000.00$10.00=900
    3. That's already a whole number of units

      900=900
    4. Multiply the break-even units by the price to get the sales in dollars

      900×$28.00=$25,200.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $10.00$28.00×100=35.7143%
  2. 2. Break-even units (rounded up): 760

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $20.00−$10.00=$10.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $7,600.00$10.00=760
    3. That's already a whole number of units

      760=760
    4. Multiply the break-even units by the price to get the sales in dollars

      760×$20.00=$15,200.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $10.00$20.00×100=50%
  3. 3. Break-even units (rounded up): 896

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $30.00−$18.00=$12.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $10,750.00$12.00=895.8333
    3. You can't sell part of a unit, so round up to the next whole unit

      895.8333→896
    4. Multiply the break-even units by the price to get the sales in dollars

      895.8333×$30.00=$26,875.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $12.00$30.00×100=40%
  4. 4. Break-even units (rounded up): 1,125

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $20.00−$12.00=$8.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $9,000.00$8.00=1,125
    3. That's already a whole number of units

      1,125=1,125
    4. Multiply the break-even units by the price to get the sales in dollars

      1,125×$20.00=$22,500.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $8.00$20.00×100=40%
  5. 5. Break-even units (rounded up): 5,500

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $24.00−$22.00=$2.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $11,000.00$2.00=5,500
    3. That's already a whole number of units

      5,500=5,500
    4. Multiply the break-even units by the price to get the sales in dollars

      5,500×$24.00=$132,000.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $2.00$24.00×100=8.3333%
  6. 6. Break-even units (rounded up): 829

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $30.00−$16.00=$14.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $11,600.00$14.00=828.5714
    3. You can't sell part of a unit, so round up to the next whole unit

      828.5714→829
    4. Multiply the break-even units by the price to get the sales in dollars

      828.5714×$30.00=$24,857.14
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $14.00$30.00×100=46.6667%
  7. 7. Break-even units (rounded up): 3,063

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $20.00−$16.00=$4.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $12,250.00$4.00=3,062.5
    3. You can't sell part of a unit, so round up to the next whole unit

      3,062.5→3,063
    4. Multiply the break-even units by the price to get the sales in dollars

      3,062.5×$20.00=$61,250.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $4.00$20.00×100=20%
  8. 8. Break-even units (rounded up): 1,175

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $25.00−$15.00=$10.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $11,750.00$10.00=1,175
    3. That's already a whole number of units

      1,175=1,175
    4. Multiply the break-even units by the price to get the sales in dollars

      1,175×$25.00=$29,375.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $10.00$25.00×100=40%
  9. 9. Break-even units (rounded up): 650

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $24.00−$14.00=$10.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $6,500.00$10.00=650
    3. That's already a whole number of units

      650=650
    4. Multiply the break-even units by the price to get the sales in dollars

      650×$24.00=$15,600.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $10.00$24.00×100=41.6667%
  10. 10. Break-even units (rounded up): 1,125

    1. Find what each sale leaves over to pay fixed costs: the price minus the variable cost

      $24.00−$14.00=$10.00
    2. Divide the fixed costs by that amount to see how many sales it takes to cover them

      $11,250.00$10.00=1,125
    3. That's already a whole number of units

      1,125=1,125
    4. Multiply the break-even units by the price to get the sales in dollars

      1,125×$24.00=$27,000.00
    5. Find the contribution margin ratio: the share of each sale's price left after variable costs

      $10.00$24.00×100=41.6667%