To find the interval during which the employee cost is greater than the company earnings, we need to compare the net profit function f(x) with 0 (company earnings).
Given that f(x) = 339,968 - (32x + 64(64-x)) = 339,968 - (-32x + 64*64) = 339,968 + 32x - 4096 = 32x - 505580
We want to find the interval where f(x) < 0
Solving for x:
32x - 505580 < 0
32x < 505580
x < 505580 / 32
x < 15232.8125
Therefore, the employee cost is greater than the company earnings when x < 15232.8125, or in the interval x < 15232.
a production company determined the average cost of employing each employee and then created the forecast to determine their net profit (gross profit minus the cost of x employees)
in the graph below f(x) is the net profit, n=32, m=64 and p=$339,968
during which interval are the employee cost greater than the company earnings?
1 answer
1 answer