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The Workday That Wouldn't Die

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MATH  

Duplicate and distribute these activities. Students may work independently or cooperatively.

Do the figures add up?
Management consultant Ron Healy is a proponent of the 30/40 work plan, which he believes increases productivity. How does he go about deciding whether 30/40 will work for a company? Try this scenario:

• Pretend you are a consultant hired to make a company more productive. Here is the data you receive about the company.

• The company makes shoes. They make a $15 gross profit on every pair of shoes that a worker produces. They employ 50 workers, who each make $12 an hour. The average worker works 40 regular and 20 overtime hours a week and produces 100 pairs of shoes in that time.

• Roughly how much profit does the company make per week? (Use only the data given to make your answer. Assume that overtime hours are paid at time-and-a-half—150% of normal hourly pay.)

• Now think: In order for the company to profit equally using the 30/40 plan, how many pairs of shoes would each worker have to produce per hour during their 30 hours of work? Remember to take into account that workers are being

Would 30/40 be a good idea for this company? Offer a written analysis of the situation. Remember to present these facts:

• The computations on the situation above don't take into account the loss of productivity caused by worker turnover.

• Workers typically are happier and more willing to stay with a company on the 30/40 plan.

Do the figures add up? Sample Worksheet
Each worker works 60 hours a week. Each worker produces 100 pairs of shoes a week. So, each worker produces 1.67 pairs of shoes per hour. (100 pairs of shoes per week ¸ 60 hours per week.)

• Each worker works and gets paid for 40 regular hours each week.

• At $12/hr., that is $480/wk.

• Each worker works and gets paid for 20 overtime hours each week.

• At $18/hr., that is $360/wk.

• So, each worker is paid $840/wk.

• That amount times 50 workers is $42,000/wk.

• The workers each produce 100 pairs of shoes a week.

• That amount times 50 workers is 5,000 pairs of shoes.

• Each pair of shoes yields $15 gross profit.

• So, on 5,000 pairs of shoes the company makes $75,000

• Subtract labor cost from above - $42,000

• That leaves a net profit of $33,000

30/40 Plan

• Each worker gets paid for 40 regular hours each week

• At $12/hr., that is $480/wk.

• That amount times 50 workers is the labor expense, which is $24,000/wk.

• Net profit to be matched is $33,000/wk.

• So, for the plan to work, the company must have gross profit of $57,000/wk.

• Each pair of shoes yields $15 gross profit.

• So to earn a gross profit of $57,000, the company must make 3,800 pairs of shoes
($57,000 ¸ $15 = 3,800)

• Each worker works 30 hours a week.

• That amount times 50 workers is 1,500 hrs/wk.

• In order to produce 3,800 pairs of shoes in 1,500 hours, each worker must average 2.53 pairs of shoes per hour. (3,800 ¸ 1,500)

• So, the hourly output of shoes per worker must increase from 1.67 pairs to 2.53 pairs for the 30/40 plan to yield the same profit as the current operation.