SOLUTION: Annual profit in thousands of dollars is given by the function, P(x) = 5000 - (1000/(x-1)), where x is the number of items sold in thousands, x > 1. describe the meaning of

Algebra.Com
Question 451795: Annual profit in thousands of dollars is given by the function, P(x) = 5000 - (1000/(x-1)), where x is the number of items sold in thousands, x > 1.
describe the meaning of the number 5000 in the formula
describe the meaning of the number 1 in the formula
find the profit for 5 different values of x
graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
will this profit function have a maximum, if so, what is it?
what steps should the company take to prepare for your answer to part 5?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Annual profit in thousands of dollars is given by the function, P(x) = 5000 - (1000/(x-1)), where x is the number of items sold in thousands, x > 1.
describe the meaning of the number 5000 in the formula
---
Ans: It's the maximum profit value.
-------
describe the meaning of the number 1 in the formula
Ans: It is not in the domain of the function.
-----------
find the profit for 5 different values of x
Ans: P(x) = 5000 - (1000/(x-1)
P(2) = 5000-[1000/1] = 4000
P(3) = 5000-[1000/2] = 4500
etc.
----------------------
graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility.

--------------------------
Cheers,
Stan H.
==================
Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.

RELATED QUESTIONS

annual profit in thousands of dollars is given by the function, P(x)=5000-(1000/x-1)),... (answered by solver91311)
Can you help me please? Annual profit in thousands of dollars is given by the... (answered by josmiceli)
Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x (answered by ewatrrr)
Annual profit in thousands of dollars is given by the function, P(x) = 100√ x - 5... (answered by jim_thompson5910)
Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x (answered by josmiceli)
Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x (answered by josmiceli)
annual profit in thousands of dollars is given by the function, P(x)= sqrt x-5+3000,... (answered by stanbon)
Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 + 50x - 300, (answered by ewatrrr)
The profit function for a business is given by the equation P(x)=-4x^2+16x-7, where x is... (answered by solver91311)