The interaction of supply and demand between individual producers and consumers is studied within

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

Consider the following two projects. both have costs of $5,000 in year 1. project 1 provides benefits of $2,000 in each of the first four years only. the second provides benefits of $2,000 for each of years 6 to 10 only. compute the net benefits using a discount rate of 6 percent. repeat using a discount rate of 12 percent. what can you conclude from this exercise?

Frost corporation incurred the following transactions during its first year of operations. (assume all transactions involve cash.) 1) acquired $1,900 of capital from the owners. 2) purchased $435 of direct raw materials. 3) used $290 of these direct raw materials in the production process. 4) paid production workers $490 cash. 5) paid $290 for manufacturing overhead (applied and actual overhead are the same). 6) started and completed 250 units of inventory. 7) sold 140 units at a price of $6 each. 8) paid $130 for selling and administrative expenses. the amount of raw material inventory on the balance sheet at the end of the accounting period would be: