In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plants of various sizes. A quadratic model of cost (in thousands of dollars) for the largest plants was found to be very similar to: C(g) = 0.026g²+26.7q+381 where g is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at $ 64 per bale of cotton. Find the following (but be cautious and play close attention to the units): A) The Marginal Cost function: C'(a) = -- B) The Marginal Revenue function: R'(q) = C) The Marginal Profit function: P'(q) = D) The Marginal Profits for q F P'(358) = 358 thousand units: (see Part E for units) Which of the following represent the proper units for the answer to Part D? O units O thousands of units per dollar O units per dollar Odollars O thousands of dollars per unit O dollars per unit

In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plants of various sizes. A quadratic model of cost (in thousands of dollars) for the largest plants was found to be very similar to: C(g) = 0.026g²+26.7q+381 where g is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at $ 64 per bale of cotton. Find the following (but be cautious and play close attention to the units): A) The Marginal Cost function: C'(a) = -- B) The Marginal Revenue function: R'(q) = C) The Marginal Profit function: P'(q) = D) The Marginal Profits for q F P'(358) = 358 thousand units: (see Part E for units) Which of the following represent the proper units for the answer to Part D? O units O thousands of units per dollar O units per dollar Odollars O thousands of dollars per unit O dollars per unit

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

2.(16) where g is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at 5 64 per bale of cotton. Find the following (but be cautious and play close attention to the units):

In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plants of various
sizes. A quadratic model of cost (in thousands of dollars) for the largest plants was found to be very similar
to:
C(g) = 0.026g²+26.7q+381
where g is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at $
64 per bale of cotton.
Find the following (but be cautious and play close attention to the units):
A) The Marginal Cost function:
C'(g)
B) The Marginal Revenue function:
R'(q) =
C) The Marginal Profit function:
P'(q)
D) The Marginal Profits for g
h
P'(358)
358 thousand units:
(see Part E for units)
Which of the following represent the proper units for the answer to Part D?
O units
O thousands of units per dollar
O units per dollar
O dollars
O thousands of dollars per unit
O dollars per unit

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