00:01
So, here it is given that the cost c of x is equal to 0 .04 x cube plus 0 .7 x square plus 30 x plus 90 for the value of x ranging from 0 to 1500 and a is equal to 500.
00:24
So in a part we have to find the average cost and marginal cost of the function.
00:29
So, marginal cost of the function can be given by c dash of x.
00:34
Okay so this is what the marginal cost function.
00:43
Similarly average cost can be c bar of x.
00:49
So this is equal to c of x by x.
00:53
So let us get started with the force that is c dash of x.
00:56
So if we take the derivative phase so 4 3's are 12 that means it will become 0 .12 of x square plus 2 2's of 4 0 .4 times of x plus 30.
01:07
So this is what the marginal cost that we were asked to find.
01:12
Now similarly average cost can be given by c bar of x as we have seen.
01:17
So this will be equal to c of x over x that will be goes to the 0 .04 x cube plus 0 .2 x square plus 30 of x plus 100 that whole divided by the x.
01:33
So will comes out 0 .04 x square will remain here 0 .2 x will be remain here 30 will remain and here it will become 100 by x.
01:44
So this is what the average cost that we were asked to find out...