SOLUTION: The cost and revenue functions for selling a specialty item are:
R(x) = 50x – 0.5 x2
C(x) = 4x + 10x2
a) Write the equation of the profit function P(x).
b) Sketch th
Algebra ->
Functions
-> SOLUTION: The cost and revenue functions for selling a specialty item are:
R(x) = 50x – 0.5 x2
C(x) = 4x + 10x2
a) Write the equation of the profit function P(x).
b) Sketch th
Log On
Question 631903: The cost and revenue functions for selling a specialty item are:
R(x) = 50x – 0.5 x2
C(x) = 4x + 10x2
a) Write the equation of the profit function P(x).
b) Sketch the three functions C(x), R(x) and P(x) on the same set of axis.
c) Determine the number of specialty items which produce a maximum profit.
d) Find the maximum profit.
e) Indicate on the profit curve the interval over which profit is decreasing.
I'll lead the simplification and the graphing to you.
The profit function is a parabola that opens down. The answer to part c is the value of the coordinate of the vertex, and the answer to d is the coordinate of the vertex.
John
My calculator said it, I believe it, that settles it
