A manufacturer sells video games with the following cost and revenue functions (in dollars), where x is the number of games sold. Determine the interval(s) on which the profit function is increasing. C(x) = 0.14x^2 - 0.00006x^3 R(x) = 0.896x^2 - 0.0002x^3 Select the correct choice below and fill in any answer boxes within your choice. A. The profit function is increasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The profit function is never increasing.
Added by Brian F.
Close
Step 1
896x^2 + 0.0002x^3) - (0.14x^2 + 0.00006x) \] \[ P(x) = 0.756x^2 - 0.00006x^3 \] ** Show more…
Show all steps
Your feedback will help us improve your experience
Andrew Noble and 78 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A manufacturer sells video games with the following cost and revenue functions (in dollars), where x is the number of games sold. Determine the interval(s) on which the profit function is increasing. C(x)=0.15x^2−0.00008x^3 R(x)=0.762x^2−0.0002x^3 Select the correct choice below and fill in any answer boxes within your choice. A.The profit function is increasing on the interval(s): (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The profit function is never increasing.
Eleni K.
A manufacturer sells video games with the following cost and revenue functions (in dollars), where x is the number of games sold. Determine the interval(s) on which the profit function is increasing. C(x) = 0.15x^2 - 0.00016x^3 R(x) = 0.366x^2 - 0.0002x^3 Select the correct choice below and fill in any answer boxes within your choice. A. The profit function is increasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The profit function is never increasing.
Khushbu R.
For each situation, if $x$ represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the result of part (d) graphically. The fixed cost is 1000 dollars, the cost to produce an item is 200 dollars, and the selling price of the item is 240 dollars.
Analysis of Graphs of Functions
Operations and Composition
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD