(b) A firm has an average cost function 125 q? 4. A(q) = - - 16 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.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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i) Determine the level of output for average cost are minimum.

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

iii) What part of decreasing range is practically feasable?

iv) Write an equation for the total cost function. 

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

 

(b) A firm has an average cost function
125
A(q) =
q?
4.
16
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.
Problem 2
(a) The sales of a book publication are expected to grow according to the function
S = 300000(1 - e-0.06t), wheret is the time, given in days.
(i) Show using differentiation that the sales never attains an exact maximum value.
(ii) What is the limiting value approached by the sales function?
Transcribed Image Text:(b) A firm has an average cost function 125 A(q) = q? 4. 16 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. Problem 2 (a) The sales of a book publication are expected to grow according to the function S = 300000(1 - e-0.06t), wheret is the time, given in days. (i) Show using differentiation that the sales never attains an exact maximum value. (ii) What is the limiting value approached by the sales function?
Problem 2
(a) The sales of a book publication are expected to grow according to the function
S = 300000(1 – e-0.06t), where t is the time, given in days.
(i) Show using differentiation that the sales never attains an exact maximum value.
(ii) What is the limiting value approached by the sales function?
Transcribed Image Text:Problem 2 (a) The sales of a book publication are expected to grow according to the function S = 300000(1 – e-0.06t), where t is the time, given in days. (i) Show using differentiation that the sales never attains an exact maximum value. (ii) What is the limiting value approached by the sales function?
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