**Can somebody help me with Math?**

1.) A pool is treated with a chemical to reduce the amount of algae in the pool. The algae concentration t days after the treatment can be approximated by the function A(t)=42(t)^2 – 252t + 600, where A(t) is measured in micrograms of algae per liter of pool water. How many days after the treatment will the pool have the lowest concentration of algae?

2.) A manufacturer of microwave ovens believes that the revenue R, in dollars, the company receives is related to the price P, in dollars, of an oven by the function R(P) = 110P – 0.2(P)^2. What price will give the maximum revenue?

************************Please Show Me The Procedure****************************

Thanks

if you want to know the maximum or the lowest value of a function f(x), you just have to solve f'(x)=0

A(t)=42*t^2-252*t+600

A'(t)=2*42*t-252

84t-252=0

84t=252

t=252/84=3 days

R(p)=110p-0.2*p^2

R'(p)=110-2*0.2*p

110-0.4*p=0

0.4p=110

p=110/0.4=275 $

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