Hi guys, this is my first post here. I will hopefully be able to help others but at the moment I have run into a problem where I don't really know where to start. I'll just get on with posting the question.
In a production process, the total production cost per day is given by the function
P = 1500x - x2 - 25y/x
where x is the total number of items produced per day and y is the number of
production line workers.
On a day where each production line worker produces 25 items each, find the number
of items produced (value of x) that maximises the production cost that day.
Now what I understand of this is that I should differentiate with respect to x, but I have been trying to do implicit differentiation with no success. I used the quotient rule to solve -25y/x but my answer differs from that on WolfraamAlpha.
Any help would be greatly appreciated, specifically an explanation and direction of where to go once I have dy/dx.
Thanks in advance!
In a production process, the total production cost per day is given by the function
P = 1500x - x2 - 25y/x
where x is the total number of items produced per day and y is the number of
production line workers.
On a day where each production line worker produces 25 items each, find the number
of items produced (value of x) that maximises the production cost that day.
Now what I understand of this is that I should differentiate with respect to x, but I have been trying to do implicit differentiation with no success. I used the quotient rule to solve -25y/x but my answer differs from that on WolfraamAlpha.
Any help would be greatly appreciated, specifically an explanation and direction of where to go once I have dy/dx.
Thanks in advance!