Pepper & Mint Company has $6,350,000$shares of stock outstanding, currently selling at $$57/$share$.$If an hostile group acquires $25\%$of the shares, existing stockholders will be able to buy new shares at $33\%$below the current stock price.

a$.$Calculate the trigger quantity of shares to activate the poison pill.

b$.$How much will the existing stockholders pay for each new share?