(a) If there is no restrictions on pumping waste into the lake, how much waste will the firm pumps to maximize its profits? (b) check photo for part B please
A large factory pumps its waste into a nearby lake. The lake is also used for recreation by 1,000 people. Let X be the amount of waste that the firm pumps into the lake. Let Yi be the number of hours per day that person i spends swimming and boating in the lake, and let Ci be the number of dollars that person i spends on consumption goods. If the firm pumps X units of waste into the lake, its profits will be;
Π(X) = 1, 200X − 100X^2.
(a) If there is no restrictions on pumping waste into the lake, how much waste will the firm
pumps to maximize its profits?
(b) check photo for part B please
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Could you show the work for getting X = 6 and Y = (9-X)/2