which Max is able to make. (ii) The owner of a widget factory finds that the he can sell x widgets in a month if he charges a price of Sp per widget, where p=100 – V. The cost SC of 2 producing and...

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Extracted text: which Max is able to make. (ii) The owner of a widget factory finds that the he can sell x widgets in a month if he charges a price of Sp per widget, where p=100 – V. The cost SC of 2 producing and selling x widgets is given by C = 3000+10x . (a) Find an expression for the monthly profit $P as a function of x . (b) Calculate: (a) the price the owner must charge to obtain the maximum monthly profit. (B) the maximum monthly profit.