00:01
All right.
00:01
So for a, we want to find a profit.
00:05
So the profit function, p of x, y, is going to be our revenue.
00:12
So it'll be their revenue from america plus a revenue from europe minus the cost.
00:17
So the revenue from america is 13 minus, i'm sorry, is 13.
00:26
So it's going to be x times 13 minus 0 .2x.
00:34
And then plus the revenue from europe, which is going to be y times 17 minus 0 .1y minus our cost function, which is 19 plus 5 times x plus y.
00:57
So we simplify this to be 13x minus 0 .2x squared.
01:08
Plus 17y minus 0 .1 y squared minus 19 plus 5x plus 5y so for b we want to find how many cards should be sold in the market to maximize profit so we need to find the derivative of x y so we're going to find the derivative of x y so we're going to find the derivative respect to x and then find a derivative of respect to x and then find a derivative of so derivative of respect to x we have this would be 13 minus 0 .4 x and then this would be plus 17 minus 0 .2y minus 19 or actually that goes away and then plus 5 and plus 5 or actually to the back.
02:25
We need to find the partial derivatives.
02:33
So we need to find px.
02:35
So partial derivative of respect to x, so that's 13 minus 0 .4x plus 5.
02:47
Do we ever set that equal to 0? and then find a partial respect to y...