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The cost (in dollars) of producing x units of a certain commodity is C(x) = 9,000 + 8x + 0.05x?. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 105 per unit %24 (ii) x = 101 $ per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per unit

The cost (in dollars) of producing x units of a certain commodity is C(x) = 9,000 + 8x + 0.05x?. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 105 per unit %24 (ii) x = 101 $ per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per unit

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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The cost (in dollars) of producing x units of a certain commodity is C(x) = 9,000 + 8x + 0.05x?. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 105 per unit (ii) x = 101 per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per unit %24
Transcribed Image Text:The cost (in dollars) of producing x units of a certain commodity is C(x) = 9,000 + 8x + 0.05x?. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 105 per unit (ii) x = 101 per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per unit %24
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