Rachel is saving her entertainment money for a summer trip to europe, but she wants to spend time with her friends this saturday. her friends suggest shopping, hiking, going to dinner, or seeing a movie. what would be the best option for rachel and why?

select the best answer from the choices provided.
a.
she should get dinner because she would get both entertainment and food, twice as much for her money.
b.
she should go hiking because it is entertainment and does not cost any money.
c.
she should go to the movies because it is cheaper than dinner but would still be a good time.
d.
she should go shopping because she can spend less money if she wants to, and shopping is entertaining.

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

In canada, the reference base period for the cpi is 2002. by 2012, prices had risen by 21.6 percent since the base period. the inflation rate in canada in 2013 was 1.1 percent. calculate the cpi in canada in 2013. hint: use the information that “prices had risen by 21.6 percent since the base period” to find the cpi in 2012. use the inflation rate formula (inflation is the growth rate of the cpi) to find cpi in 2013, knowing the cpi in 2012 and the inflation rate. the cpi in canada in 2013 is round up your answer to the first decimal. 122.9 130.7 119.6 110.5

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?