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Question: Natashia is considering two mobile phone plans. Plan 1 would cost $30 and would give her 800 minutes of free local calls. Extra local calls, and any long distance calls would cost $0.40 per minute. Plan 2 would cost $50, and there would be 1200 minutes of local or long-distance minutes; over this limit calls would cost $0.40 per minute. Suppose that she wishes to make a minutes of local calls and b minutes of long-distance calls.
(a) Using the 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 < 1200, find the values for a and b that would make Plan 1 better (i.e. cheaper) than Plan 2.
(d) Show the region where plan 1 is better than plan 2.
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