In an administered vertical marketing system, a. no individual participant has control over the others, since a third party administrator oversees the entire supply chain. b. transaction selling is the norm, with the invisible hand guiding the overall functioning. c. there is no common ownership, and the dominant member has significant power to impose its ideas and objectives. d. independent firms join together formally to decide as a group how the marketing channel will operate. e. participants—such as warehouses, transportation companies, and retail outlets—are typically owned by a parent company to ensure harmonious relations throughout the supply chain.

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