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Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousthousands of dollars 1300 1200- R 1100- 1000- с 900- 800- 700- 600- 500- 400- 300- P 200- 100- 0 3 4 5 6 7 00 9 10 11 12 -100

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(a) ax tb R(x) = Take two point on the R (X,141) = (0,0);(*2143)= (100) Y-Y, = Y2 - 21 (x-x1) X2-X Yo= 100-0 (x-o) 1-0 Y = 10e) From graph P(x) is maximum When lx) = 0 p(x) = 3x +30x -27 p«)=0 5) x = 1,2 Pli) 63 ; P(91 = 193 meximaa profit is 193 th

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