The automotive plant in Rockaway makes the Topaz and the Mustang. The plant has a maximum production capacity of 1200 cars per week. During the spring, a dealer orders up to 600 Topaz cars and 800 Mustangs each week. The profit on a Topaz is $500 and on a Mustang it is $800. Find the quantity of each car model that will maximize profit; what is the maximum profit? Define the variables: Let x = Let y = Write the objective: Identify the constraints:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The automotive plant in Rockaway makes the Topaz and the Mustang. The plant
has a maximum production capacity of 1200 cars per week. During the spring, a
dealer orders up to 600 Topaz cars and 800 Mustangs each week. The profit on
a Topaz is $500 and on a Mustang it is $800. Find the quantity of each car model
that will maximize profit; what is the maximum profit?
Define the variables:
Let x =
Let y =
Write the objective:
Identify the constraints:
Transcribed Image Text:The automotive plant in Rockaway makes the Topaz and the Mustang. The plant has a maximum production capacity of 1200 cars per week. During the spring, a dealer orders up to 600 Topaz cars and 800 Mustangs each week. The profit on a Topaz is $500 and on a Mustang it is $800. Find the quantity of each car model that will maximize profit; what is the maximum profit? Define the variables: Let x = Let y = Write the objective: Identify the constraints:
Graph the feasible region (and show any required algebra needed to find the vertices of
the feasible region). You may use DESMOS; put your results here:
y
Identify the vertices of the feasible region and evaluate the objective function at each
vertices of the feasible region:
Write a conclusion:
Transcribed Image Text:Graph the feasible region (and show any required algebra needed to find the vertices of the feasible region). You may use DESMOS; put your results here: y Identify the vertices of the feasible region and evaluate the objective function at each vertices of the feasible region: Write a conclusion:
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