Use separate graphs to draw indifference curves for each of the following utility functions: a. U(x, y)= min {2x + y,2y +x}
b. U(x, y)= max {2x + y,2y +x}
c. U(x, y) =x + min {x+y}
d. In which of these cases are preferences convex?

Which statement is true of both presidential and parliamentary systems of government? a. the executive branch operates independently from the legislative branch. b. the members of the legislative branch are directly elected by the people. c. the head of government is chosen by members of his or her political party. d. the head of government is directly elected by the people

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

What is a sales lead? a. an employee on the customer service team who deals with existing customers b. a sales person who works on a residual commission structure c. an expert in maslow's hierarchy of needs d. a potential customer who has shown interest in the company's product