1 The total monthly profit for a firm is P(x) = 6400x - 18x2 3 40000 dollars, where x is the number of units sold. A maximum of 100 units can be sold per month. How many units should be sold to maximize monthly profit? units What is the maximum monthly profit when this number of units are sold? (Round your answer to the nearest whole number.) dollars

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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The total monthly profit for a firm is P(x) = 6400x 18x2
40000 dollars, where x is the number
-
%3D
-
of units sold. A maximum of 100 units can be sold per month.
How many units should be sold to maximize monthly profit?
units
What is the maximum monthly profit when this number of units are sold? (Round your answer to the nearest
whole number.)
dollars
(Hint: When you solve for the critical values in this question, you'll have to solve a quadratic equation. You
can do that using the quadratic formula, or you can do it by factoring.)
1.
3/
Transcribed Image Text:The total monthly profit for a firm is P(x) = 6400x 18x2 40000 dollars, where x is the number - %3D - of units sold. A maximum of 100 units can be sold per month. How many units should be sold to maximize monthly profit? units What is the maximum monthly profit when this number of units are sold? (Round your answer to the nearest whole number.) dollars (Hint: When you solve for the critical values in this question, you'll have to solve a quadratic equation. You can do that using the quadratic formula, or you can do it by factoring.) 1. 3/
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