00:01
So here we have an optimization problem.
00:04
And to figure out what the firm wants to do, what we want to do is set up a profit function and maximize the profit function, right? the goal of the firm is to maximize profits.
00:12
Now, profit is revenue minus cost, but we are given expressions for revenue and for cost.
00:22
So i'm just going to go ahead and substitute those right in.
00:27
And then we can even simplify a little bit, right? i get minus 8q squared minus 300, sorry, plus 300q minus 500.
00:37
Oh, sorry, i'm being lazy.
00:40
It's minus 12q, of course, right? i'm grouping the squared terms, and then i'm grouping the q terms...