a corporate software development firm has a staff of online support technicians available 24 hours hours a day. they advertise that one of the advantages of using their company is that the ratio of accounts-to-support technicians is 5:1.
This year they have eight technicians on staff and each technician is fully saturated with accounts
A. How many accounts does the company support at this time?
b. the company is projecting a 20% growth each year for the next four years. How many technicians should the company's Human resource manager plan to hire in each of the next four years.
a)
solve:
x/24 = 5/1
b) what is 24 x 1.2 ?
To find the number of accounts the company supports at this time, we can divide the total number of technicians by the account-to-technician ratio.
A. Number of accounts supported at this time:
Given: Ratio of accounts-to-support technicians is 5:1.
Number of technicians available: 8
To find the number of accounts, we can multiply the number of technicians by the account-to-technician ratio:
Number of accounts = Number of technicians * Account-to-technician ratio
= 8 * 5
= 40
Therefore, the company currently supports 40 accounts.
B. To calculate the number of technicians the company should hire in each of the next four years, we need to consider the projected 20% growth rate.
Since each technician is fully saturated with accounts, to accommodate the projected growth, the company will need to maintain the same account-to-technician ratio.
The formula to calculate the number of technicians to hire in each year is:
Number of technicians to hire = (Projected growth rate / Account-to-technician ratio) * Number of technicians
Projected growth rate = 20%
Account-to-technician ratio = 5:1
Number of technicians = 8
Now, let's calculate the number of technicians the company should hire in each of the next four years:
Year 1:
Number of technicians to hire = (20% / 5) * 8
= (0.20 / 5) * 8
= 0.04 * 8
= 0.32
≈ 1 (rounded to the nearest whole number)
Therefore, the company should hire approximately 1 technician in Year 1.
Similarly, you can calculate the number of technicians the company should hire in Years 2, 3, and 4 using the same formula.