Hazel purchased a new business asset (five-year asset) on september 30, 2019, at a cost of $100,000. on october 4, 2019, she placed the asset in service. this was the only asset she placed in service in 2019. hazel did not elect § 179 or additional first-year depreciation. on august 20, 2020, hazel sold the asset. determine the cost recovery for 2020 for the asset.

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

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

Miller mfg. is analyzing a proposed project. the company expects to sell 14,300 units, plus or minus 3 percent. the expected variable cost per unit is $15 and the expected fixed cost is $35,000. the fixed and variable cost estimates are considered accurate within a plus or minus 3 percent range. the depreciation expense is $32,000. the tax rate is 34 percent. the sale price is estimated at $19 a unit, give or take 3 percent. what is the net income under the worst case scenario?