62 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 hecharges a price of Sp per widget, where p=100 –V. The cost SC of2producing 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.

The revenue is the total amount to be received by the firm by selling goods at a particular price.…

The owner of a widget factory finds that the he can sell x widgets in a month if he 3 charges a price of Sp per widget, where p=100-: 2 Vr. The cost $C of producing and selling x widgets is given by C = 3000 +10x . (а) Find an expression for the monthly profit $P as a function of xr. (b) Calculate: (a) the price the owner must charge to obtain the maximum monthly profit. (B) the maximum monthly profit.