Problema Solution
the start up cost of a company is $150000. it costs $.17 to maufacture each headset. graph the function that represents average cost of a headset. how many must be manufactured to result in a cost less than five dollars per headset
Answer provided by our tutors
let x = the number of headsets produced
f(x) the total cost for producing x headsets
f(x) = 150000 + 0.17x
the average cost of headset c(x) is
c(x) = f(x)/x
c(x) = 150,000/x + 0.17
click here to see the graph of the function
we need to find x such that c(x) < 5
150000/x + 0.17 < 5
by solving we find
x > 31,055 headsets
click here to see the step by step solution of the inequality