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1.To draw the demand curve, the price for using public transportation must be held constant. If the cost of riding the bus declines, which of the following statements are true? The commuter’s demand curve for gasoline may change The ceteris paribus assumption is violated The commuter may ride the bus more and consume less gasoline 2

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

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

Why do police officers get paid less than professional baseball players?