A theater group made appearances in two cities. The hotel charge before tax is the second city was $ 1000 higher than in the first. The tax in the first city was 8.5 % and the tax in the second city was 5.5 %. The total hotel tax paid for the two cities was $ 790 . How much was the hotel charge in each city before tax?

2. high-glow currently produces 1,000 bicycles per month. the following per unit data apply for sales to regular customers: direct materials $50 direct manufacturing labor 5 variable manufacturing overhead 14 fixed manufacturing overhead 10 total manufacturing costs $79 the plant is experiencing demand shortage and is considering reducing production to 800 bicycles. what is the per unit cost of producing 800 bicycles? a) $79 per unit b) $81.50 per unit c) $74 per unit d) $69 per unit

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

Happy foods and general grains both produce similar puffed rice breakfast cereals. for both companies, thecost of producing a box of cereal is 45 cents, and it is not possible for either company to lower their productioncosts any further. how can one company achieve a competitive advantage over the other?