Virginia’s Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average l = 3 per 8-hour workday (approximately Poisson in nature). The crew can service an average of m = 8 machines per workday, with a repair time distribution that resembles the negative exponential distribution.
a) What is the utilization rate of this service system?
b) What is the average downtime for a broken machine?
c) How many machines are waiting to be serviced at any given time?
d) What is the probability that more than 1 machine is in the system? The probability that more than 2 are broken and waiting to be repaired or being serviced? More than 3? More than 4?

Andrew cooper decides to become a part owner of a corporation. as a part owner, he expects to receive a profit as payment because he has assumed the risk of - serious inflation eroding the purchasing power of his investment.- being paid before the suppliers and employees are paid.- losing his home, car, and life savings.- losing the money he has invested in the corporation and not receiving profits.- the company giving all of the profits to local communities

Arriving and delivering a load of company executives for a business meeting at a destination far from home base requiring an overnight stay, a company’s pilot requested approval from the company finance office to pay to either have the company’s jet brought into the fbo's hangar overnight to protect it from a forecast snowfall or to have it de-iced by the fbo the following morning well-before scheduled departure. the company was under considerable financial pressure at the time, and the pilot’s requests were denied because of the cost. so, early the following morning, the pilot was up on the wing of the jet sweeping off an accumulation of snow and ice with a borrowed push broom in preparation for the scheduled departure with the executives, but slipped and fell to the ground, suffering a broken neck. the business was organized as a limited partnership, owned by 3 limited partners and one general partner. as a cost-saving measure, the company had dropped its workers’ compensation insurance before the accident. analyze the potential liability for the pilot’s injuries of each of the following, showing your reasoning clearly: the company the general partner the limited partners analyze how the outcome would have been different, if the business had been organized as a corporation and observed all of the formalities to legitimize its corporate status. analyze how the outcome would have been different, if the pilot had been covered by workers’ compensation insurance.

Anew firm is developing its business plan. it will require $615,000 of assets, and it projects $450,000 of sales and $355,000 of operating costs for the first year. management is reasonably sure of these numbers because of contracts with its customers and suppliers. it can borrow at a rate of 7.5%, but the bank requires it to have a tie of at least 4.0, and if the tie falls below this level the bank will call in the loan and the firm will go bankrupt. what is the maximum debt ratio the firm can use? (hint: find the maximum dollars of interest, then the debt that produces that interest, and then the related debt ratio.)a. 41.94%b. 44.15%c. 46.47%d. 48.92%e. 51.49%