Prepare a setof piecewise function for the following problems. Example: A Doctor's fee is based on the length of time. Up to 6 minutes costs $50 Over 6 and up to 15 minutes costs $80 Over 15 minutes costs S80 plus $5 per minute above 15 minutes Which we can wrte like this: if t 6 and t < 15 $50 S(t) = {s80 $80 + $5(t- 15) if t > 15 1.A school'sfair committee wants to sellt-shirts for their school fair. They found a supplierthatsellst-shirts ata price of P175.00a piece but can charge P15,000.00 for bulk order of 100 shirts and P125.00 for each excess t-shirt after that. Use a plecewise function. to represent the cost in terms of the number of t-shirts purchased. k The fee to parkin the parking lotof a shopping mall costs P40.00 for the first two hours and an extra P10.00for each hour (or a.fraction of it) after that If you park more than twelve hours, you instead pay a fiat rate of P200.00. Represent your parking feeusing the function p(t) where tis the number of hours parkedin the mall. 3. A taxi ride costs P40.00 for the first 500meters, and each additional 300 meters (or afraction thereof) adds P3.50to the fare. Use a piecewise function to represent the taxi fare in terms of the distance d in meters.