Question
Given the total profit function P(x) = 1.3x-.01x^2-30, let x represent a number of days and find maximum profit achieved and when that profit is made. Then graph the function and mark the vertex
Answers
P(x) = 1.3x-.01x^2-30 = -.01x^2 + 1.3x - 30
in more standard notation
you will need the vertex.
The x of the vertex is -b/(2a)
= -1.3/(-.02)
= 65
then P(65) = -.01(65)^2 + 1.3(65) - 30
= 12.25
when x = 65
in more standard notation
you will need the vertex.
The x of the vertex is -b/(2a)
= -1.3/(-.02)
= 65
then P(65) = -.01(65)^2 + 1.3(65) - 30
= 12.25
when x = 65
Related Questions
Let C(q) represent the cost, R(q) the revenue, and π(q) the total profit, in dollars, of producing q...
Given a total profit of p(x) = 1.4x-0.02x^2-20 let x represent a number of days and find profit achi...
Using the revenue function R(q) = 510q and the cost function C(q) = 9400+3q2. Round your answers to...
Read the following description of a relationship:
To stay healthy, Bella runs 7 kilometers every da...