Purchase Solution

# Business Calculus and Average Cost Function

Not what you're looking for?

1. Average Cost. A company manufacturing snowboards has fixed cost of \$200 per day and total cost of \$3800 per day at a daily outputs of 20 boards.

a) Assuming that the total cost per day c(x) is linearly related to the total output per day x, write an equation for the cost function.
b) The average Cost per board for an output of x boards is given by c(x)=C(x)/x. find the average cost function.
c) Sketch a graph of the average cost function, including any asymptotes, for 1 less than or equal to x less than or equal to 30.
d) What does the average cost per board tend to as production increases?

2. Pollution. In Silicon Valley (California), a number of computer related manufacturing firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers. A water quality control agency ordered the companies to take immediate corrective action and to contribute to a monetary pool for testing and cleanup of the underground contamination. suppose that the required monetary pool (in millions of dollars) for the testing and cleanup is estimated to be given by
P(x)=2x/1-x 0 less than or equal to x less than 1
where x is the percentage (expressed as a decimal fraction) of the total contaminant removed.

a) How much must be in the pool to remove 90% of the contaminant?
b) How much must be in the pool the remove 95% of the contaminant?
c) Find lim x approch 1- P(x) and discuss the implications of this limit.

##### Solution Summary

Business calculus and average cost functions are examined. The average cost per board tend to as production increases are given.

##### Solution Preview

Dear student, please refer to the attachment for full solutions.
a)
Total Cost per day = \$3800
Fixed Cost per day = \$200
Variable Cost ...

Solution provided by:
###### Education
• MSc, Osmania University
• MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
• BSc, Banaras Hindu University
###### Recent Feedback
• "Very fast turnaround. Excellent communication! Much appreciated!"
• "excellent"
• "excellent"
• "excellent work"
• "Fantastic..great solution and very well explained!!!!"

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

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.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability