Precalculus in need of HELPP!!

Pxg9999

Calculus

Asked: Aug 27th, 2015

Question Description

An open box is to be made by cutting congruent squares from each corner of a 20cm by 30cm rectangular piece of cardboard.
1. What are the conditions on the HEIGHT of the box?
2. Draw and appropriately label a NET for the box if its height is arbitrary (h cm)
3. Write an equation for the VOLUME of this box if its height is h
4. Determine the volume when h = 4cm, & when h = 9cm, & h = 12cm
5. What dimensions will maximize the volume of a box made from this material?
6. What will the maximum volume be?
7. Use an online resource or app to create a valid, properly scaled and labeled graphic model for this investigation. Label applicable points.
8. Practice creating & investigating the same version of the graph on your calculator.

2. 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 by

R(x) = 40x-0.1x2, where x = # items sold

When is the REVENUE greater than the cost? And what does this indicate about the status of the business with respect to this item?

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