posted by Nicole on .
A fast food shop plans to employ 8 full-time staff and some part-time staff.Suppose that the daily wages for a full-time staff and a part-time staff are $350 and $250 respectively. In order to control the daily running cost, the total expenditure on wages must not exceed $5000 per day.
(a) At most how many part-time staff can be employed?
(b) Hence, find the total daily wages.
Let x = part - time staff
Total cost for full-time workers =
350 * 8 = 2800
2800 + 250x = 5000
250x = 5000 - 2500
x = 8.8
Since I have not met 4/5'ths of a person we would have to either round up or down. Since the daily wage cannot exceed $5000 we will round down to 8.
Therefore they can hire 8 part time workers and 8 full time workers without exceeding daily wage cap.
Therefore Total cost is: 2800 + 250(8) =4800
$2000 to part time workers
$2800 to full time workers.
Change 250x = 5000 - 2500
to: 250x = 5000 - 2800