An electronic company sells two kinds of speakers, the Tweeter and the Boomer, manufacturing at most 140 speakers each week. Each Tweeter takes 6 hours to build, and each Boomer takes 12 hours. Each week, they hire workers for at most 960 hours. They gain $56 in profit for each Tweeter the make, and $63 profit for each Boomer they make. How many of each speaker should they make to maximize profit? Say what your variables represent in words. Then write the profit function and system of constraints (inequalities). a. Profit = Constraints: Inequality 1 Inequality 2 Inequality 3 Inequality 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 30PPS
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Question
6:27
b. Graph the feasible region. Show your test points and the conclusion you come to after
testing them.
160
140
120
100
80
60
40
20
20
40
60
80 100 120 140 160
What are the vertices of the feasible region?
d.
Complete the table
Is this vertex a maximum,
minimum
neither?
Vertex
Profit
Write a sentence to answer the word problem. Include units with your numbers.
Transcribed Image Text:6:27 b. Graph the feasible region. Show your test points and the conclusion you come to after testing them. 160 140 120 100 80 60 40 20 20 40 60 80 100 120 140 160 What are the vertices of the feasible region? d. Complete the table Is this vertex a maximum, minimum neither? Vertex Profit Write a sentence to answer the word problem. Include units with your numbers.
#5. An electronic company sells two kinds of speakers, the Tweeter and the Boomer,
manufacturing at most 140 speakers each week. Each Tweeter takes 6 hours to build, and
each Boomer takes 12 hours. Each week, they hire workers for at most 960 hours. They
gain $56 in profit for each Tweeter the make, and $63 profit for each Boomer they make.
How many of each speaker should they make to maximize profit?
Say what your variables represent in words. Then write the profit function and system
of constraints (inequalities).
a.
Profit =
Constraints:
Inequality 1
Inequality 2
Inequality 3
Inequality 4
Transcribed Image Text:#5. An electronic company sells two kinds of speakers, the Tweeter and the Boomer, manufacturing at most 140 speakers each week. Each Tweeter takes 6 hours to build, and each Boomer takes 12 hours. Each week, they hire workers for at most 960 hours. They gain $56 in profit for each Tweeter the make, and $63 profit for each Boomer they make. How many of each speaker should they make to maximize profit? Say what your variables represent in words. Then write the profit function and system of constraints (inequalities). a. Profit = Constraints: Inequality 1 Inequality 2 Inequality 3 Inequality 4
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