A steer weighing 300 pounds gains 8 pounds per day, and costs$1.00 a day to keep. You bought this steer today at a market priceof $1.50 per pound. However, the market price is falling $0.02 perpound per day. When should you sell the steer to maximize yourprofit? a)Write total cost,in dollars, of purchasing and keepingthe steer, as a function of t. b)write revenue function,R, indollars, from selling the steer on day t. Note that it should bequadratic. c)Write the profit function, P, in dollars, from sellingon day t. Note it should be quadratic. d)State the domain for allthree functions. Note that it is the same for all. e)use yourcalculator to answer original question.