Question

Susan has a part-time business producing seasonal plywood yard ornaments for resale at local craft fairs and bazaars. She currently works 8 hours per day to produce 16 ornaments.

a. What is her productivity?


b. She thinks that by redesigning the ornaments and switching from use


of a wood glue to a hot-glue gun she can increase her total


production to 20 ornaments per day. What is her new productivity?


c. What is her percentage increase in productivity?

Answer 1

a. 2 ornaments per hour

b. 2.5 ornaments per hour

c. 25% increase

Step-by-step explanation:

In Susan's business, the productivity is given by the amount of ornaments she can produce in one hour.

a. If she produces 16 ornaments in 8 hours, her productivity is:

`P=(16)/(8)\\P=2\ per\ hour`

Productivity is 2 ornaments per hour.

b. If she produces 20 ornaments in 8 hours, her productivity is:

`P=(20)/(8)\\P=2.5\ per\ hour`

Productivity is 2.5 ornaments per hour.

c. The percent change in productivity is given by the change in productivity divided by the original productivity:

`\%C =(P_2-P_1)/(P_1)=(2.5-2)/(2)\\\%C=0.25=25\%`

Productivity increased by 25%.