00:01
In the question we have given that a total cost for x units is given as c of x is equal to 7 times x minus 1 over 6 times x plus 1.
00:24
So in the first part of question we have to find the cost for 45 units that is is equal to 45 therefore we have c of 45 is equal to 7 times 45 minus 1 over 6 times 45 plus 1 which is equals to 350 minus 5 over 270 plus 1 which is equal to 310 over 271 therefore the cost for 45 will be equals to 1 .1.
01:10
Now in the next part of the question.
01:13
We have to find the average cost for x units, that is c bar of x, which is given as c of x over x, which will be equals to 7x minus 5 over x times 6x plus 1.
01:37
Therefore we have the cost for x unit is equal to 7x minus 5 over 6x squared plus x.
01:50
Now in the last part of question we have to find marginal cost of a function.
02:00
Marginal cost of function which is given as c bar dash of x.
02:09
So we'll simplify this by using the position rule.
02:12
So let's take 7x minus 5 into derivative of 6x2 plus 1.
02:18
That will be 12x plus 1 minus 6x square plus x times 7.
02:27
Sorry, it is only 7 over 6x square plus x whole square...