Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Question
Chapter 7.5, Problem 64E
a.
To determine
To graph: The systems of inequalities representing the consumer surplus and producer surplus for the given supply and demand equations.
a.
Expert Solution
Explanation of Solution
Given information:
The demand and supply equations are
Graph:
Using Desmos graphing utility, the graph is shown below:
Interpretation:
The region enclosed with blue color represents the solution of the systems of inequalities. It is representing the consumer surplus and producer surplus for the given supply and demand equations.
b.
To determine
To find: The consumer surplus and producer surplus.
b.
Expert Solution
Answer to Problem 64E
Consumer surplus is
Explanation of Solution
Given information:
Graph that represents the systems of inequalities representing the consumer surplus and producer surplus for the given supply and demand equations:
Calculations:
From the graph, we can see that consumer surplus (CS) is the triangular region with height 50 units and base 250000 units.
Therefore,
Similarly, producer surplus (PS) is the triangular region with height 125 units and base 250000 units.
Therefore,
Chapter 7 Solutions
Precalculus with Limits
Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
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