PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter 7.1, Problem 43E
Solution

To calculate: The equilibrium points from the given curves.

  p=200−15x Demand curvep=50+25x Supply curve

The solutions of the given system is 3.75,143.75 .

Given Information:

The system of equations.

  p=200−15xp=50+25x

Calculation:

Consider the given information,

Draw the graph of both the equation in the same Cartesian plane by using the graphing calculator. The number of intersection of both the equation is equal to the number of solutions.

  PRECALCULUS:GRAPHICAL,...-NASTA ED., Chapter 7.1, Problem 43E

From the graph, It is observed that the intersecting points of two graphs are 3.75,143.75 . Verify it by substituting on the given system of equation.

Substitute 3.75,143.75 in p=200−15x

  143.75=200−153.75143.75=143.75

Substitute 3.75,143.75 in p=50+25x

  143.75=50+253.75143.75=143.75

Thus, the point 3.75,143.75 is the solution of the given equation.

Therefore, the obtained solution are 3.75,143.75 .

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Chapter 7.1, Problem 42E
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Chapter 7.1, Problem 44E

Chapter 7 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. 7.1 - Prob. 1QRCh. 7.1 - Prob. 2QRCh. 7.1 - Prob. 3QRCh. 7.1 - Prob. 4QRCh. 7.1 - Prob. 5QRCh. 7.1 - Prob. 6QRCh. 7.1 - Prob. 7QRCh. 7.1 - Prob. 8QRCh. 7.1 - Prob. 9QRCh. 7.1 - Prob. 10QR
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