A paint store sells two brands of latex paint. An analysis of total sales figures indicates that the demand D (gallons/month) is modeled by D(x, y) = 210 – 12x? + 18y where x, y are the prices of the first and second brands, respectively. A separate study indicates that t months from now, the first brand will cost x = 4+0.18t dollars/gallon and the second brand will cost y = 5 + 0.3/t dollars/gallon. At what rate the demand D will be changing in 9 months from now. Justify your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A paint store sells two brands of latex paint. An analysis of total sales
figures indicates
that the demand D (gallons/month) is modeled by
D(*, у) — 210 — 12:? + 18у
-
where x, y are the prices of the first and second brands, respectively.
A separate study
indicates thatt months from now, the first brand will cost
x = 4+ 0.18t dollars/gallon
and the second brand will cost y = 5 + 0.3yt dollars/gallon. At what
rate the demand
D will be changing in 9 months from now. Justify your answer.
Transcribed Image Text:A paint store sells two brands of latex paint. An analysis of total sales figures indicates that the demand D (gallons/month) is modeled by D(*, у) — 210 — 12:? + 18у - where x, y are the prices of the first and second brands, respectively. A separate study indicates thatt months from now, the first brand will cost x = 4+ 0.18t dollars/gallon and the second brand will cost y = 5 + 0.3yt dollars/gallon. At what rate the demand D will be changing in 9 months from now. Justify your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning