SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM; Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 137n

SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM; Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 137n - 5000, where n is the

Question 161514This question is from textbook finite mathematics
: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM;
Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 137n - 5000, where n is the number of hard drives sold. How many hard drives must be sold for the company to break even? Round your answer to the units place, in other words, to the nearest number of hard drives. This question is from textbook finite mathematics

Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
equation for profit is
P = 137*n - 5000
where n is the number of hard drive sold.
-----
break even point looks like it will be when P = 0
if n is small, P is negative.
as n gets larger, P becomes less negative until it becomes positive.
you can solve for this break even point by making P = 0.
equation then becomes
0 = 137*n - 5000
add 5000 to both sides of the equation and it becomes
5000 = 137*n
divide both side of the equation by 137 and it becomes
5000/137 = n
this becomes
n = 36.49
break even point is 36.49
if n = 36, profit is 137*36 - 5000 = 4932 - 5000 equals negative.
if n = 37, profit is 137*37 - 5000 = 5069 - 5000 equals positive.
answer you are looking for is
n = 37
-----
graph of this equation is shown below.
x is used instead of n.
when x = 37, the graph should be crossing the x axis.

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