Neverland is experiencing an economic boom and is growing very fast. Stock and housing prices are surging, unemployment is very low and inflation starts to pick up. Policymakers are worried that the economy is overheated and is heading towards a recession. In Neverland, the central bank is responsible for monetary and exchange-rate policy, while the treasury is responsible for fiscal policy. They hire you as a consultant to help them design economic policy. One day you meet with the governor of the central bank, and you both agree that the interest rates are too low, and it is necessary to increase them to cool down asset markets and curb inflation. You advise that the central bank should increase the policy interest rate from the current 4%. The governor agrees with your suggestion and asks you to use the following Taylor rule to set the new interest rate:

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

Myflvs -question 3 multiple choice worth 2 points)(10.04 hc)in panama city in january, high tide was at midnight. the water level at high tide was 9 feet and1 foot at low tide. assuming the next high tide is exactly 12 hours later and that the height of thewater can be modeled by a cosine curve, find an equation for water level in january for panamacity as a function of time (t).of(t) = 4 + 5of(t) = 5 cost + 4o 460) = 5 cos 1+ 4of(0) = 4 cos + 5

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?