The monthly demand for a certain brand of table wine is given by the demand equation p = 360 1 − 3 3 + e−0.0005x where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. (a) Find the rate of change of the price per case when x = 1000. (Round your answer to three decimal places.) dollars/case2(b) What is the price per case when x = 1000? (Round your answer to two decimal places.) dollars/case
The monthly demand for a certain brand of table wine is given by the demand equation p = 360 1 − 3 3 + e−0.0005x where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. (a) Find the rate of change of the price per case when x = 1000. (Round your answer to three decimal places.) dollars/case2(b) What is the price per case when x = 1000? (Round your answer to two decimal places.) dollars/case
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
Related questions
Question
The monthly demand for a certain brand of table wine is given by the demand equation
p = 360
1 −
| 3 |
| 3 + e−0.0005x |
where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded.
(a) Find the rate of change of the price per case when
dollars/case2
(b) What is the price per case when
dollars/case
x = 1000.
(Round your answer to three decimal places.)dollars/case2
(b) What is the price per case when
x = 1000?
(Round your answer to two decimal places.)dollars/case
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