7 A company produces and sells books. The weekly cost, in euros, for producing x books is € (0.1x² + 400). The weekly income from selling x books is € (-0.12x² + 30x). a Show that the weekly profit, P(x), can be written as P(x) = -0.22x² + 30x-400. b Plot a graph of this equation and hence sketch it on paper, showing the coordinates of the vertex and axes intercepts. c State what the x-intercepts represent in the context of the problem.

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