An industrial production process costs C(q) million dollars to produce q million units; these units then sell for R(q) million dollars. If C(2.1) = 5.3,R(2.1) = 6.8, MC(2.1) = 0.7, and MR(2.1) = 0.8, calculate the following. (a) The profit earned by producing 2.1 million units. The profit is i million dollars. (b) The approximate change in revenue if production increases from 2.1 to 2.16 million units. The change in revenue is about thousand dollars. (c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units. The change in revenue is about thousand dollars. (d) The approximate change in profit in parts (b) and (c). The change in profit in part (b) is about i thousand dollars, and the change in profit in part (c) is about i thousand dollars.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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An industrial production process costs C(q) million dollars to produce q million units; these units then sell for R(q) million dollars.
If C(2.1) = 5.3, R(2.1) = 6.8, MC(2.1) = 0.7, and MR(2.1) = 0.8, calculate the following.
(a) The profit earned by producing 2.1 million units.
The profit is i
million dollars.
(b) The approximate change in revenue if production increases from 2.1 to 2.16 million units.
The change in revenue is about i
thousand dollars.
(c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units.
The change in revenue is about i
thousand dollars.
(d) The approximate change in profit in parts (b) and (c).
The change in profit in part (b) is about i
thousand dollars, and the change in profit in part (c) is about
i
thousand dollars.
Transcribed Image Text:An industrial production process costs C(q) million dollars to produce q million units; these units then sell for R(q) million dollars. If C(2.1) = 5.3, R(2.1) = 6.8, MC(2.1) = 0.7, and MR(2.1) = 0.8, calculate the following. (a) The profit earned by producing 2.1 million units. The profit is i million dollars. (b) The approximate change in revenue if production increases from 2.1 to 2.16 million units. The change in revenue is about i thousand dollars. (c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units. The change in revenue is about i thousand dollars. (d) The approximate change in profit in parts (b) and (c). The change in profit in part (b) is about i thousand dollars, and the change in profit in part (c) is about i thousand dollars.
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