Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 words. A clerk types 4,160 words in one hour and 20 minutes. The salary and benefits for the clerk cost the firm approximately $17.65/hour. How much will recreating the manual cost the firm?

Respuesta :

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= [tex]1\frac{20}{60}[/tex] hours

[tex]\\\\=1\frac{1}{3}[/tex] hours

[tex]\\\\=\frac{4}{3}[/tex] hours

So it takes  [tex]\frac{4}{3}[/tex] hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= [tex]\frac{4160}{\frac{4}{3}}[/tex]

=[tex]4160 \times \frac{3}{4}[/tex]

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=[tex]\frac{\text{ total number of words}} {\text{ number of words written per hour}}[/tex]

Substituting the values

= [tex]\frac{16000}{3120}[/tex]

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

=   5.1282 x $17.65

=  90.51