A tech company has developed a new compact, high efficiency battery for hand-held devices.

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.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment using the Algebra concepts discussed within the course. All mathematical steps and explanations must be typed up and 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.

Part 2

Scenario

You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment using the Algebra concepts discussed within the course. All mathematical steps and explanations must be typed up and formatted using the equation editor.

Part 1: Find the total area of flower bed.

Part 2: Write the area of the flower bed as an equation using multiplication of two binomials.

Part 3: Solve your equation from Part 2.

Part 4: Identify the extraneous solution and explain how it was determined to be extraneous.

Part 5: Find the width of the part of the flower bed with the daisies.

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