A bicycle rental company has three rental locations in FreshAire Park, denoted by A (the alpine trailhead), B (the botanical garden), and C (the castle). A customer may rent a bike from any of the three locations and return the bike to any of the three locations. The manager finds that customers return the bikes to to the various locations according to the following probabilities: Rented from
А B C
Returned to A .8 .3 .2
B .1 .2. .6
C .1 .5 .2
1) Solve the homogeneous system (I – P)q = 0. Remember that q is a probability vector, so its entries must sum to 1.
2) If the bike rental company has 1000 bikes at FreshAire Park, how many individual bike racks do they need at each of their locations?

An instance where sellers should work to keep relationships with customers is when they instance where selllars should work to keep relationships with customers is when they feel that the product

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?

You are working on a bid to build two city parks a year for the next three years. this project requires the purchase of $249,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the three-year project life. ignore bonus depreciation. the equipment can be sold at the end of the project for $115,000. you will also need $18.000 in net working capital for the duration of the project. the fixed costs will be $37000 a year and the variable costs will be $148,000 per park. your required rate of return is 14 percent and your tax rate is 21 percent. what is the minimal amount you should bid per park? (round your answer to the nearest $100) (a) $214,300 (b) $214,100 (c) $212,500 (d) $208,200 (e) $208,400