A Bakery sold 100 cakes for the regular price of $200. For a special occasion the cake was reduced to $150 and 130 were sold. After the occasion, the price was reduced to $100 and 175 cakes were sold. (a) What was the weighted mean price of cake? (b) The Bakery spent $100 a cake for the 405 cakes. Comment on the Bakery's profit per cake if a cook receives a $10 commission foreachonesold.