8. Consider a hypothetical closed economy with the following functions: C = 50 + 0.75(Y-T); I = 100 – 2r; G = 120; T = 140; Ms = 440; P = 2; (M/P)d = 0.5Y – 1.5r; A. Write down the IS function. B. Write down the LM function. C. Determine the equilibrium levels of income and interest rate. D. What happens to equilibrium r if money supply is raised from 1,000 to 1,200? E. If the central bank wishes to raise the interest rate to 7 percent, what money supply should it set? F. If government purchases increase by 224, what is the impact of this change on the IS curve? and What is the impact of the change on the equilibrium level of income?

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