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?

Respuesta :

Answer:

a. 2 ornaments per hour

b. 2.5 ornaments per hour

c. 25% increase

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:

[tex]P=\frac{16}{8}\\P=2\ per\ hour[/tex]

Productivity is 2 ornaments per hour.

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

[tex]P=\frac{20}{8}\\P=2.5\ per\ hour[/tex]

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:

[tex]\%C =\frac{P_2-P_1}{P_1}=\frac{2.5-2}{2}\\\%C=0.25=25\%[/tex]

Productivity increased by 25%.

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