+107 A company that sells widgets has to pay $500 in maintenance fees each day and then it pays each worker $8 per hour. Each worker makes 5 widgets per hour, which are sold at $3.10 each. What is the least number of workers the company has to hire in order to make a profit in an 8-hour workday?
+128454 Total costs = 500 + 8 * 8x =
Fixed cost + (hrs per day)( hourly wage rate) (x) =
500 + 64x where x is the number of workers we need
Total Revenue =
(hrs per day) (number of widgets/hour)(sales price/widget) (x) =
8 * 5 * 3.10 * x = 124x
And we want to solve this
124x > 500 + 64x subtract 64x from both sides
60x > 500
x > 500/60
x > 8.33 workers
So...we need 9 workers (at a minimum )
+36916 500 = fixed cost
n 8 x 8 = labor cost
n x 5 x3.1 x 8 = money brought in from sales
500 + n 8x8 = n x 5 x 3.1 x 8
500 + 64n = 124 n
500 = 60n
n = 8.33 ~~ 9 employees
+107 I got 8.33/9 as well having the same work, but it is wrong? Do you see anything wrong with your work?
+36916 It would change if the COST of producing the Widgets were included....but that info was not given in the question......Was it to be included but omitted?
