Trong một thị trường cạnh tranh hoàn hảo, X là hàng hóa đồng nhất được sản xuất và tiêu dùng bởi rất nhiều người trên thị trường. Hàm số cung và hàm số cầu thị trường của hàng hóa X được ước lượng như sau: (S): PS = QS + 130
(D): PD = - 2QD + 400
(Đơn vị tính của QD, QS là đơn vị sản phẩm, đơn vị tính của P là đơn vị tiền/sản phẩm)
Giả sử các doanh nghiệp tham gia sản xuất trên thị trường này đều có hàm tổng chi phí sản xuất như nhau: TC = 25q2 + 20q + 225
Mức giá thị trường là bao nhiêu thì doanh nghiệp bị lỗ nhưng vẫn tiếp tục sản
xuất để tối thiểu hóa lỗ?

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

For 2018, rahal's auto parts estimates bad debt expense at 1% of credit sales. the company reported accounts receivable and an allowance for uncollectible accounts of $86,500 and $2,100, respectively, at december 31, 2017. during 2018, rahal's credit sales and collections were $404,000 and $408,000, respectively, and $2,340 in accounts receivable were written off.rahal's accounts receivable at december 31, 2018, are:

Josie just bought her first fish tank a 36 -gallon glass aquarium, which she’s been saving up for almost a year to buy. for josie, the fish tank is most likely what type of purchase