00:01
In this question we have been given that the weekly demand for the pulsar 25 color led television, okay, is given as p is equals to 600 minus 0 .05x where x takes the value between 0 and 12 ,000, where p denotes the wholesale unit price in dollar and k denotes the quantity.
00:25
Okay.
00:27
And the weekly total cost function.
00:29
So cost function c of x is going.
00:31
Given by 0 .002x cube minus 0 .03x squared plus 400x plus 80 ,000.
00:45
This is what we have been given.
00:47
In the first part, we need to find what is the average cost function.
00:53
So we will try to find our average cost function.
01:00
So it will be given by c by.
01:03
Bar of x which is equal to c of x divided by x so this gives you 0 .000 to x squared just you have to divide correct by x minus 0 .03x plus 400 divided by x sorry it will be 400 plus 800 plus 800 plus 8000 divided by x okay so this will be 400 plus 80 ,000 divided by x this is what will be our average cost function now let us move to the next part in the next part what we have to find we have to find the what is the marginal average cost function so i will write here the marginal average average cost function, it will be what it is denoted by c -dash of x, just you know to take the derivative.
02:18
So it becomes 0 .000 -00 -4x minus 0 .03 minus 80 ,000 divided by x square.
02:34
So this is the required marginal average cost function, correct? in the next part, what we have to find? we need to compute what is the marginal average cost when x is equals to 5 ,000.
02:51
So just we have to put the value here...