Math
posted by Jennifer .
A chain store manager has been told by the main office that daily profit, P is related to the number of clerks working that day, x, according to the equation P= 25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?

if you know Calculus ....
dP/dx = 50x + 300 = 0 for a max of P
x = 6
P= 25(36) + 300(6) = 900
otherwise complete the square ....
P = 25(x^2  12x + 3636)
= 25( (x6)^2  36)
= 25(x6)^2 + 900
same as above
Respond to this Question
Similar Questions

math 117
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket … 
Math Calculus
A firm finds that it can sell all the radios it manufactures st a price of $75 each. If x radios are manufactured each day and C(x)=x^2 +25x +100 is the daily total cost of production, how many radios should be produced each day for … 
statistics
Mail security estimates that the average daily perstore theft is less than $250, but wants to determine accuracy of this statistic. The company researcher takes a sample of 81 clerks and finds that X =$260 and s=$20. a) Test at a=.05 … 
statistics
Mail security estimates that the average daily perstore theft is less than $250, but wants to determine accuracy of this statistic. The company researcher takes a sample of 81 clerks and finds that X =$260 and s=$20. a) Test at a=.05 … 
Math
The health food store that you manage employs seven clerks, Invidual hourly wasges are $6.10,6.25,6.45,6.75,7.00,7.25 and 8.50. If each employee has 2 weeks unpaid vacation time and works 8 hours a day 5 days per week and is paid all … 
math
`A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x according to the equation P= 25x^2+300x. What number of clerks will maximize the profit, and what … 
Algebra
A chain store manager hs been told by the main office that daily profit, P, as related to the number of clerks working that day, x, according to the functions P=25x^2 + 300x. What number of clerks will maximize the profit, and what … 
math
a company employs 12 gardeners at $26 per day , and 8 clerks at $17 per day. What is the mean daily wage,in dollars,of the 20 employees? 
Calculating and Reporting Healthcare Statistics
How do you: Calculate the total inches of documents filed per day for all clerks. Calculate the total documents filed per day for all clerks. Calculate the weekly total inches of documents filed per clerk (round to two decimal points). … 
Economics
Why is the equilibrium wage higher for doctors than for convenience store clerks?