The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the unit price decreases by $3, the number of VCRs demanded increases by 100 units. The manufacturer will not market any VCRs if the price is $100 or lower. However, for each $50 increase in the unit price above $100, the manufacturer will market an additional 1000 units. Demand: (8000, 260), (8100, 257) Provide the equations for the linear demand and supply functions: Also, define the variables. D(x) is the price the consumer is willing to spend when purchasing x number of VCRs. S(x) is the price the manufacture is willing to sell x number of VCRs Answer: D(x) = (-3/100)X + 500 and S(x) = (5/100)X + 100

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...
icon
Related questions
Question

The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the unit price decreases by $3, the number of VCRs demanded increases by 100 units. The manufacturer will not market any VCRs if the price is $100 or lower. However, for each $50 increase in the unit price above $100, the manufacturer will market an additional 1000 units. Demand: (8000, 260), (8100, 257)

Provide the equations for the linear demand and supply functions: Also, define the variables.

D(x) is the price the consumer is willing to spend when purchasing x number of VCRs.

S(x) is the price the manufacture is willing to sell x number of VCRs

Answer: D(x) = (-3/100)X + 500 and S(x) = (5/100)X + 100

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning