Suppose that the total cost of manufacturing r units of a certain commodity is C(x) = 2r + 6.r + 12. Use differentials to approximate the cost of producing the 21st unit. Compare this estimate with the cost of actually producing the 21st unit. %3D

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
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2.22 Suppose that the total cost of manufacturing x units of a certain commodity is
C(x) = 2r + 6.r + 12. Use differentials to approximate the cost of producing the
21st unit. Compare this estimate with the cost of actually producing the 21st unit.
2.23 A manufacturer's total cost is C(x) = 0.1.r – 0.25x² + 300x + 100 dollars, where
x is the level of production. Estimate the effect on the total cost of an increase in the
level of production from 6 to 6.1 units.
2.24 It is estimated that years from now, the population of a certain town will be
F(1) = 40 - (8/(! + 2)]. Use differentials to estimate the amount by which the
population will increase during the next six months.
Transcribed Image Text:2.22 Suppose that the total cost of manufacturing x units of a certain commodity is C(x) = 2r + 6.r + 12. Use differentials to approximate the cost of producing the 21st unit. Compare this estimate with the cost of actually producing the 21st unit. 2.23 A manufacturer's total cost is C(x) = 0.1.r – 0.25x² + 300x + 100 dollars, where x is the level of production. Estimate the effect on the total cost of an increase in the level of production from 6 to 6.1 units. 2.24 It is estimated that years from now, the population of a certain town will be F(1) = 40 - (8/(! + 2)]. Use differentials to estimate the amount by which the population will increase during the next six months.
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