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# P x c x x determine the revenue equation

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tal-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs. Upper R left parenthesis x right parenthesis equals 1300 x minus x squared​, Upper C left parenthesis x right parenthesis equals 3000 plus 30 x The total​ profit, ​P(x)equals negative x squared plus 1270 x minus 3000. ​(Simplify your answer. Do not​ factor.)
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C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and AD = BC. Say the perpendicular bisector to DC meets the perpendicular bisector to AB at P. Then P A = P B and P C = P D. So the triangles P AD and P BC have equal sides and are congruent. Thus ∠P AD = ∠P BC. But P AB is isosceles, hence ∠P AB = ∠P BA. Subtracting, gives x = ∠P AD − ∠P AB = ∠P BC − ∠P BA = 90◦ . This is a preposterous conclusion – just where is the mistake in the “proof” and why does the argument break down there?
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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