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 thesubstitution methodto determine the point where the cost equals the revenue.

Part 2: Do the results from Part 1correspond with the graph? Explain.

Part 3:Interpretyour results from Part 1 in the context of the problem.

Part 4: Profit(P) is found by subtracting cost (C) from revenue (R).Write the equationin the same variables to represent the profit.

Part 5: Find the profit from producing145 thousandbatteries.

Cost and Revenue y 80 y = 1.2x y = 0.4x + 32 in Dollar Value by the Thousand Cost m Revenue 00 8 16 24 32 40 48 56 64 72 80 Batteries by the Thousand