A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed below. Part 1: Use the substitution method to determine the point where the cost equals the revenue. Part 2: Interpret your results from Part 1 in the context of the problem. Part 3: Do your results from Part 1 correspond with the graph? Explain. Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit. Part 5: Find the profit from producing 100 thousand batteries.
A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed below. Part 1: Use the substitution method to determine the point where the cost equals the revenue. Part 2: Interpret your results from Part 1 in the context of the problem. Part 3: Do your results from Part 1 correspond with the graph? Explain. Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit. Part 5: Find the profit from producing 100 thousand batteries.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
Related questions
Question
100%
Scenario
A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed below.
Part 1: Use the substitution method to determine the point where the cost equals the revenue.
Part 2: Interpret your results from Part 1 in the context of the problem.
Part 3: Do your results from Part 1 correspond with the graph? Explain.
Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.
Part 5: Find the profit from producing 100 thousand batteries.
Transcribed Image Text:Scenario
A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the
cost and revenue of manufacturing these batteries by the equations graphed below.
Cost and Revenue
y
•..
y 0.4x+ 32
Cost
8
16
32 40 48 56
24
64
72
80
Batteries by
the Thousand
Dollar Value by
the Thousand
72
64
08
48
24
32
Revenue
y = 1.2x
Transcribed Image Text:Assessment Instructions
Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted
using the equation editor.
Part 1: Use the substitution method to determine the point where the cost equals the revenue.
Part 2: Interpret your results from Part 1 in the context of the problem.
Part 3: Do your results from Part 1 correspond with the graph? Explain.
Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.
Part 5: Find the profit from producing 100 thousand batteries.
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