The opportunity to gain a foothold in the snack cracker industry had just been found. britney marr, an account executive manager for baked wheat industries, had developed an interest in wheat crackers two months ago when one of her newly hired account execs, amy bender, had convinced her about the high margins and promising future associated with that market. marr had always believed that if you do your homework in hiring the best people, then it only makes sense to listen to their recommendations and implement their suggestions.

marr had given her approval to bender to explore opportunities to move into this promising new market. this morning, bender had reported that the jackson corporation had severed its contract with feel good crackers incorporated. apparently, the feel good salesman had shared sensitive information about jackson at a cocktail party. bender had already established a good relationship with feel good buyers, and so she recognized this as an opportunity to expand her market into wheat crackers.
from a systems thinking perspective,:

Maker-bot corporation has 10,000 shares of 10%, $90 par value, cumulative preferred stock outstanding since its inception. no dividends were declared in the first two years. if the company pays $400,000 of dividends in the third year, how much will common stockholders receive?

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

Zapper has beginning equity of $257,000, net income of $51,000, dividends of $40,000 and investments by stockholders of $6,000. its ending equity is