The number of months it would take to recover the cost of the machines is 12 months.
<h3> What is the total cost of the machines and the salary of the operators? </h3>
Total cost of the four machines = $5700 x 4 = $22,800
The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t
Total cost = $22,800 + $4,400t
<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>
($750 x 2t) + ($650 x 3t) + ($950 x 3t)
= $1500t + $1,950t +$2,850t
= $6300t
<h3>In how many months would it take to recover the cost of the machines? </h3>
$22,800 + $4,400t = $6300t
Combine similar terms
$22,800 = $6300t - $4400t
$22,800 = $1900t
Divide both sides by 1900
t = 12 months
To learn more about division, please check: brainly.com/question/194007