Derivatives : Demand and Cost Functions
Not what you're looking for?
The marketing research department for a computer company used a large city to test market their new product. They found that the demand equation was p= 1296-0.12 x^2. If the cost equation is C = 830+396 x, find the number of units that will produce maximum profit.
I do not have a price per unit, only the above cost equation.
Purchase this Solution
Solution Summary
Maximum profit is found by applying derivatives to demand and cost equations. The price per units are determined. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Question :
Find the number of units that will produce a maximum profit.
Problem: The marketing research department for a computer company used a large city to test market their new product. They found that the demand equation was p= 1296-0.12 x^2. If the cost equation is C = 830+396 x, find the number of units that will produce maximum profit.
Please show ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
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.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.