1. A manufacturing company has the following cost and revenue functions: C(x) = 3600 + 25x +x² R(x) = (175 +x)x and а. Find the break-even points. b. Find the profit function and determine the units sold to maximize profit. What is the maximum profit? 2. Find the market equilibrium with the given supply and demand function Supply: p = q? + 8q + 16 Demand: p = 216 – 2q

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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1. A manufacturing company has the following cost and revenue functions:
C(x) = 3600 + 25x +x²
R(x) = (175 +x)x
and
а.
Find the break-even points.
b. Find the profit function and determine the units sold to maximize profit. What is the
maximum profit?
2. Find the market equilibrium with the given supply and demand function
Supply: p = q? + 8q + 16
Demand: p = 216 – 2q
Transcribed Image Text:1. A manufacturing company has the following cost and revenue functions: C(x) = 3600 + 25x +x² R(x) = (175 +x)x and а. Find the break-even points. b. Find the profit function and determine the units sold to maximize profit. What is the maximum profit? 2. Find the market equilibrium with the given supply and demand function Supply: p = q? + 8q + 16 Demand: p = 216 – 2q
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