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?

Suppose a stock had an initial price of $65 per share, paid a dividend of $1.45 per share during the year, and had an ending share price of $58. a, compute the percentage total return. (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.) b. what was the dividend yield and the capital gains yield? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.)

Nichols inc. manufactures remote controls. currently the company uses a plantminuswide rate for allocating manufacturing overhead. the plant manager is considering switchingminusover to abc costing system and has asked the accounting department to identify the primary production activities and their cost drivers which are as follows: activities cost driver allocation rate material handling number of parts $5 per part assembly labor hours $20 per hour inspection time at inspection station $10 per minute the current traditional cost method allocates overhead based on direct manufacturing labor hours using a rate of $20 per labor hour. what are the indirect manufacturing costs per remote control assuming an method is used and a batch of 10 remote controls are produced? the batch requires 100 parts, 5 direct manufacturing labor hours, and 3 minutes of inspection time.

9. tax types: taxes are classified based on whether they are applied directly to income, called direct taxes, or to some other measurable performance characteristic of the firm, called indirect taxes. identify each of the following as a “direct tax,” an “indirect tax,” or something else: a. corporate income tax paid by a japanese subsidiary on its operating income b. royalties paid to saudi arabia for oil extracted and shipped to world markets c. interest received by a u. s. parent on bank deposits held in london d. interest received by a u. s. parent on a loan to a subsidiary in mexico e. principal repayment received by u. s. parent from belgium on a loan to a wholly owned subsidiary in belgium f. excise tax paid on cigarettes manufactured and sold within the united states g. property taxes paid on the corporate headquarters building in seattle h. a direct contribution to the international committee of the red cross for refugee relief i. deferred income tax, shown as a deduction on the u. s. parent’s consolidated income tax j. withholding taxes withheld by germany on dividends paid to a united kingdom parent corporation