Owners of a car rental company that charges customers between $65 and $200 per day have determined that the number of cars rented per day n can be modeled by the linear function n(p)=800−4p, where p is the daily rental charge. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.

maximize revenue is ( 100 , 40000 )

Explanation:

given data

charges customers between = $65 and $200 per day

linear function n(p) = 800−4p

p = daily rental charge

to find out

company charge each customer per day to maximize revenue

solution

we know that Revenue = n(p)*p

so given equation

R(p) = 800 - 4p × p

R(p) = 800p - 4p²         ...................1

so now find critical point here that is

f' (p) = 800p - 4p²

= 800p - 4p²

= 800 (1)  - 4

800 - 8p

solve it 800 - 8p  = 0

p = 100

now put extreme point x =  100 into equation 1

y = 800 p - 4p²

y = 800 (100) - 4 (100)²

y = 40000

so maximize revenue is ( 100 , 40000 )

The needed funds/money will be transferred automatically from their savings account.

Explanation: A bad check is a that is whose payment is taking from an account not existing or an account with less amount considering the amount required to pay the check. Since Jack and Jill have an automatic funds transfer agreement with their bank, generally funds will be transferred automatically from their savings account with the bank.

It is better Jack and Jill start to know their account balance and take adequate steps to tract it in order to avoid Issuing BAD CHECK.