### Suppose that the agent expects both daytime and evening call

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##### Reference no: EM1382663

A real estate agent is considering changing her cell phone plan. There are three plans to choose from, all of which involve a monthly service charge of \$19. Plan A has a cost of \$0.45 a minute for daytime calls and \$0.28 a minute for evening calls. Plan B has a charge of \$0.59 a minute for daytime calls and \$0.12 a minute for evening calls.

Q: Suppose that the agent expects both daytime and evening calls. At what point (i.e., percentage of call minutes for daytime calls) would she be indifferent between plans A and B?

According to answers in the book I need to solve the following formula.

A: \$19 + \$0.45D + \$0.28E
B: \$19 + \$0.59D + \$0.12E

"Setting these equal and solving, D = 1.143 E. Thus, if E = 100 minutes, then D = 114 minutes. Hence, for 53.33 percent daytime minutes, the agent would be indifferent between the two plans."

How exactly do I solve the above ot get the 1.143, 100 and 53.33? Please include step-by-step solution if you would like to be rated.

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