Levels Tought:
Elementary,High School,College,University,PHD
Teaching Since: | May 2017 |
Last Sign in: | 261 Weeks Ago, 6 Days Ago |
Questions Answered: | 20103 |
Tutorials Posted: | 20155 |
MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
An open box is to be made by cutting congruent squares from each corner of a 20cm by 30cm rectangular piece of cardboard. Â
What are the conditions on the HEIGHT of the box?
Draw and appropriately label a NET for the box if its height is arbitrary (h cm)
Write an equation for the VOLUME of this box if its height is h
Determine the volume when h = 4cm, Â & when h = Â 9cm, Â & h = 12cm
What dimensions will maximize the volume of a box made from this material?
What will the maximum volume be?
Use an online resource or app to create a valid, properly scaled and labeled graphic model for this investigation. Â Label applicable points.
Practice creating & investigating the same version of the graph on your calculator.
2. Â The COST FUNCTION (what the owner pays for upkeep, supplies, etc) for a certain business is given by C(x) = 200+10x+0.2x2, where x = # items produced.
The REVENUE FUNCTION (amount from the sale of items) is given byÂ
R(x) = 40x-0.1x2, where x = # items sold
When is the REVENUE greater than the cost? Â And what does this indicate about the status of the business with respect to this item?
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