2. (15 marks) Natasha is considering two mobile phone plans. Plan I would cost $27 and would give her 800 minutes of free local calls. Extra local calls, and any long- distance calls would cost $0.36 per minute. Plan 2 would cost $45, and there would be 1200 minutes of local or long-distance minutes: over this limit calls would cost $0.36 per minute. Suppose that she wishes to make a minutes of local calls and b minutes of long-distance calls. (a) Using a max function write expressions for the total cost of each Plan in terms of a and b. (b) If a = 1100, and b= 100, find the cost of each Plan. (c) For a + b