Precalculus in need of HELPP!!

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Question description

  1. 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?

Tutor Answer

(Top Tutor) Daniel C.
School: UCLA
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