Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?

Sam robinson borrowed $21,000 from a friend and promised to pay the loan in 10 equal annual installments beginning one year from the date of the loan. sam’s friend would like to be reimbursed for the time value of money at a 9% annual rate. what is the annual payment sam must make to pay back his friend?

What are the main advantages and disadvantages of organizing a firm as a c corporation? the advantages are: (select all the choices that apply.) a. there is no limit on the number of owners a c corporation may have, thus allowing the corporation to raise substantial amounts of capital. b. the life of the business can continue beyond the death of any of the owners. c. the corporation can use the assets of the owners to pay for corporate liabilities. this attracts smaller investors to the corporation. d. the liability of the owners is limited to the amount of their investment in the firm. the disadvantages are: (select all the choices that apply.) a. income to a c corporation is subject to double taxation, once at the corporate level and again when received by the owners in the form of a dividend. b. the life of the business usually ends with the death of any of the owners. c. the c corporation is more complicated and more expensive to set up than other business entities. d. corporate liabilities can be passed on to the share

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly