00:01
Hi, today we are solving the question in which we are given with a function pq is equal to 71 q into e raise to the power minus 0 .2 into q where q is greater than equal to 0 and small than equal to 100.
00:19
So we have to find rate of change of profit.
00:23
Firstly, p -dish q is equal to d of d q q, d of d q, d, d, b.
00:31
By dq of 71 q into e raised to the power minus 0 .2 q plus 71 q into d by dq of e raised to the power minus 0 .2 cube.
00:56
So from here on solving it we get 71e raised to the power minus 0 .2 q minus 14 .2 into q into e raised to the power minus 0 .2 q.
01:17
So from here we can conclude that the required p dash q is equal to 71 into e raised to the power minus 0 .2 q minus 14 .2 q into 1 .4 q into 1 .4 .2 q is equal to 71 into e raised to the power minus 0 .2 q minus 14 .2 q.
01:34
To e raised to the power minus 0 .2 q.
01:38
Now we have to find the production level is the rate of change of profit that will be 0.
01:46
So here equating p dash q is equals to 0...