Quiz 6 in Applied Calculus by Prof. S. Brick (Summer '02), Exercises of Calculus

The sixth quiz for math 120 - applied calculus, taught by prof. S. Brick during the summer of 2002. The quiz covers various topics, including sketching the graph of a function, cost estimation, and production decisions based on marginal cost and revenue. Students are asked to print their names, find the graph of a function with specific derivative properties, estimate the cost of increasing production, and explain the implications of having mc > mr.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 120
Summer ’02 Applied Calculus; Quiz 6 section 11
0. Print your name:
1. Sketch the graph of a function defined for whose first derivative is always negative but
whose second derivative is negative for x < 1 and positive for x > 1.
2. Suppose C(100) = 4500 and MC (100) = 12. Estimate the additional cost of increasing
the production to a level of q= 105.
3. Suppose at the current production level of your business, MC > MR, what should you
do and why ?

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Prof. S. Brick Math 120

Summer ’02 Applied Calculus; Quiz 6 section 11

  1. Print your name:
  2. Sketch the graph of a function defined for whose first derivative is always negative but whose second derivative is negative for x < 1 and positive for x > 1.
  3. Suppose C(100) = 4500 and M C(100) = 12. Estimate the additional cost of increasing the production to a level of q = 105.
  4. Suppose at the current production level of your business, M C > M R, what should you do and why?