Assume for simplicity that each transmitted packet in a slotted Aloha system is successful with some fixed probability p. New packets are assumed to arrive at the beginning of a slot and are transmitted immediately. If a packet is unsuccessful, it is retransmitted with probability qr in each successive slot until successfully received. Find the expected delay T from the arrival of packet until the completion of its successful transmission.

On january 1, year 1, purl corp. purchased as a long-term investment $500,000 face amount of shaw, inc.’s 8% bonds for $456,200. the bonds were purchased to yield 10% interest. the bonds mature on january 1, year 6, and pay interest annually on january 1. purl uses the effective interest method of amortization. what amount (rounded to nearest $100) should purl report on its december 31, year 2, balance sheet for these held-to-maturity bonds?

Russell's is considering purchasing $697,400 of equipment for a four-year project. the equipment falls in the five-year macrs class with annual percentages of .2, .32, .192, .1152, .1152, and .0576 for years 1 to 6, respectively. at the end of the project the equipment can be sold for an estimated $135,000. the required return is 13.2 percent and the tax rate is 23 percent. what is the amount of the aftertax salvage value of the equipment assuming no bonus depreciation is taken

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005