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12. 40 pieces of certain goods are sold every day in the shop. Profit per one...

12. 40 pieces of certain goods are sold every day in the shop. Profit per one piece of this product is 240 USD.
a) Expert A claims that lowering the price by x USD will increase daily sales of this product by x pieces. How much should I lower the price to make the profit? How much will the profit increase then?
b) Expert B claims that increasing the price by USD (20 * x) will decrease the daily sale of this commodity by x pieces. How much should the price be increased for the profit to be the highest? How much will the profit increase then?


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