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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.

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: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
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.
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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