Data for 2021 were as follows: PBO, January 1, $243,000 and December 31, $278,000; pension plan assets (fair value) January 1, $186,000, and December 31, $233,000. The projected benefit obligation was underfunded at the end of 2021 by:

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

T-comm makes a variety of products. it is organized in two divisions, north and south. the managers for each division are paid, in part, based on the financial performance of their divisions. the south division normally sells to outside customers but, on occasion, also sells to the north division. when it does, corporate policy states that the price must be cost plus 20 percent to ensure a "fair" return to the selling division. south received an order from north for 300 units. south's planned output for the year had been 1,200 units before north's order. south's capacity is 1,500 units per year. the costs for producing those 1,200 units follow

About 20 years ago, sturdy light, inc., produced a sturdy, lightweight backpack in a market that was rapidly growing. sturdy light became a leader in this market. eventually, the backpack market reached the maturity stage and slowed down. however, by this time, sturdy light had developed a strong brand name and continued to steadily lead the market. which of the following describes this scenario? a. sturdy light was a star that developed into a cash cow. b. sturdy light was a question mark that developed into a star. c. sturdy light was a dog that developed into a question mark. d. sturdy light was a cash cow that developed into a star.