Precalculus in need of HELPP!!

timer Asked: Aug 27th, 2015

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) Studypool Tutor
School: UIUC
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors