Mark and julie are going to sell brownies and cookies for their third annual fundraiser bake sale. in one day, mark can make 40 brownies or 20 cookies, and julie can make 15 brownies or 15 cookies. with specialization, how many brownies and cookies will be made in one day for the bake sale?

Gary becker's controversial the economics of discrimination concludes that price discrimination has no effect on final profits. price discrimination benefits monopolies. labor discrimination in hiring results in more efficient allocations of production. discrimination in hiring practices has no effect on final profits. labor discrimination harms firms that practice it due to increased labor costs. price discrimination harms monopolies, which refutes over two centuries of economic theory.

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

Trey morgan is an employee who is paid monthly. for the month of january of the current year, he earned a total of $4,538. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year, and the fica tax rate for medicare is 1.45% of all earnings for both the employee and the employer. the amount of federal income tax withheld from his earnings was $680.70. his net pay for the month is .