Cawlin needs to decide how many cups of coffee and pieces of cake he will buy for a meeting with an office mate. He estimates his total utility for different quantities of coffee and cakes below. A cup of coffee is $1.00, and each piece of cake is $0.50. Cawlin has a total of $3 to spend. What is Cawlin's total utility if he buys 1 cup of coffee and 4 pieces of cake?

Which is not an example of a cyclical company? a) airlines b) hotel industry c) medical d) theme parks

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

Atlas manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently atlas produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change? a. total manufacturing costs will increase and unit manufacturing costs will also increase. b. total manufacturing costs will stay the same and unit manufacturing costs will stay the same. c. total manufacturing costs will increase and unit manufacturing costs will decrease. d. total manufacturing costs will increase and unit manufacturing costs will stay the same.