) A firm has an average cost function A(q) =125/q + q²/16 − 4. where q is the firm′s output. (i) Determine the level of output for average costs are minimum. (ii) Hence determine the range of values for which average costs are decreasing. (iii) What part of the decreasing range is practically feasible? (iv) Write an equation for the total cost function. (v) Hence calculate the level of output for which total costs are minimum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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(b) A firm has an average cost function A(q) =125/q + q²/16 − 4. where q is the firm′s output.

(i) Determine the level of output for average costs are minimum.

(ii) Hence determine the range of values for which average costs are decreasing.

(iii) What part of the decreasing range is practically feasible?

(iv) Write an equation for the total cost function.

(v) Hence calculate the level of output for which total costs are minimum

 

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