Quadratic Model: Completing the Square to Solve a Maximum Profit Question
Not what you're looking for?
Steve owns a bakery. He has hired a consultant to analyze his business operations, and the consultant has told him that his profits from the sale of pies is given by the following function:
P(x) = 120x - x2
where P(x) is the profit and x refers to the number of pies baked.
(a) How many units of pies should Steve bake in order to maximize profits?
(b) What is the maximum profit Steve can make?
Purchase this Solution
Solution Summary
Completing the Square to Solve a Maximum Profit Question is investigated. The solution is detailed and well presented.
Solution Preview
The profit expression P(x) = - x2 + 120x can be rewritten as:
P(x) = - x2 + 120x
= - (x2 - 120x)
= - (x2 - 120x + 3600 - 3600)
= - (x2 ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts