00:01
Hello everyone, there is a question given.
00:02
Gina manages a company that makes twice, her firm produces an inexpensive toy called flopsie and an expensive toy that is called mopsy in units of x 100 and y hundred respectively.
00:14
Gina finds that it is possible to produce the doll in such a way that y is equal to 68 minus 10x divide by 10 minus x.
00:22
We have to find how many units of each kind of doll both x and y should gina recommend producing to maximum.
00:30
Maximize the total revenue okay so see the solution we have given y equal to 68 minus 10x divide by 10 minus x okay let the profit by selling by selling flopsy doll p and profit by selling mopsie doll be 2 p okay mopsie ball be 2 p okay mopsie ball be 2 p so, total profit equal to 100 into 2 p y plus px, sorry, p into 136 minus 20x, divide by 10 minus x.
02:11
So, for maximizing the profit, we have to do d, dp equal to 0.
02:19
So, just solve this, 100p 1 plus 10 minus x into minus 20, 136 minus 20 x into minus 1 ,000 into minus 1, divide by 10 minus x whole square...