Respuesta :
Answer:
Change in productivity will be 50%
So option (b) will be correct option
Step-by-step explanation:
It is given that it takes 8 hour to bake 800 pretzels
And there is a shift of 8 hours
So hourly production = [tex]\frac{800}{8} =100[/tex]
Now the production is increases to 1200
Now hourly production = [tex]\frac{1200}{8}=150[/tex]
So change in productivity = [tex]\frac{150-100}{100}=50[/tex] %
So option (b) will be correct answer
Percent counts the quantity per 100 (cent=100). The productivity of Gourmet Pretzels increased(in percentage) is given by: Option b. 50%
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case, increment in her productivity is obtained by
Increment = New productivity - previous productivity
Increment amount = 1200 - 800 = 400 pretzels each shift
Let it is p% of the previous productivity.
Then,
[tex]400 = \dfrac{800}{100} \times p = 8 \times p\\\text{Dividing both the sides by 8}\\\\p =\dfrac{400}{8} = 50[/tex]
Her productivity increased by 50% (compared to previous productivity).
Hence, the productivity of Gourmet Pretzels increased(in percentage) is given by: Option b. 50%
Learn more about percentage here:
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