Math for Social Sciences II. Answer to Practice Exam.


  1. Find the limit of the following functions: (12 points)

  2. Find the feasibility region in the following. Label any ``corner'' points of the region. (16 pts)

    tex2html_wrap_inline211 , tex2html_wrap_inline213 , tex2html_wrap_inline215 , tex2html_wrap_inline217 .

    Answer:

    *** Picture ***

    Corner points: (0.0), (0,2), (5,0) and tex2html_wrap_inline219

  3. Minimize z=4x+12y subject to: (18 pts)

    tex2html_wrap_inline223 , tex2html_wrap_inline225 , tex2html_wrap_inline215 , tex2html_wrap_inline217 .

    Answer:

    Evaluate z at the corner points: (4,0), (12,0) and (6,4)

    tabular59

    Minimum: z= 16

  4. Find the derivative of each of the following: (20 pts)

  5. Use the definition of the derivative to find f'(3) if f(x)=2x+4 (7pts)

    Answer:

    tex2html_wrap_inline261

    tex2html_wrap_inline263

    tex2html_wrap_inline265

    tex2html_wrap_inline267

    f'(x)= 2

    f'(3)=2

  6. The cost of producing x pizzas is tex2html_wrap_inline275 (7 pts)

  7. Set up the following problems. Indicate what the variables represent, the objective function and any constraints. (10 each)

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Tue Nov 07 21:45:49 MDT 1997

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