Ray has six hours before he goes to bed on a school night. he plans to spend an hour surfing the internet, two hours playing his favorite game, two hours watching tv, and one hour doing his homework. however, some of the math problems in his homework are extremely difficult, and it will take him more than two hours to finish them. he knows his teacher won’t give him any credit for the work unless it's completely finished, and it's important that he get a good grade in the class. which of these options for dealing with this situation are a trade-off of ray’s time? 1) he will spend only one hour on homework and leave out what he can’t finish. 2) he will spend one extra hour on homework and give up watching tv. 3) he will finish his homework while he is watching tv. 4) he will play his favorite game for one hour and do homework for two hours. 5) he will ask his brother to him with his homework.

Areal 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 $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?