Thị trường nông sản A có hàm số cầu và số cung là: P=900-2Q ; P=300+0,5Q (P=$/đvsp; Q=đvsp)
Yêu cầu: a) vẽ đường cung và đường cầu trên cùng một hệ trục toạ độ .
b) xác định mức giá cân bằng của thị trường. Tính hệ số co giãn của cung và cầu tại mức giá cân bằng.
c) khi giá cả của thị truòng là 400$, thì có hiện tượng gì? Thiếu hụt hay dư thừa. Tính lượng dư thừa hay thiếu hụt đó

Quantitative problem: you need $20,000 to purchase a used car. your wealthy uncle is willing to lend you the money as an amortized loan. he would like you to make annual payments for 4 years, with the first payment to be made one year from today. he requires a 8% annual return. what will be your annual loan payments? round your answer to the nearest cent. do not round intermediate calculations. $ how much of your first payment will be applied to interest and to principal repayment? round your answer to the nearest cent. do not round intermediate calculations. interest: $ principal repayment

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

Electronics assembly inc. is a contract manufacturer that assembles consumer electronics for a number of companies. currently, the operations manager is assessing the capacity requirements as input into a bid for a job to assemble cell phones for a major global company. the company would assemble three models of cell phones in the same assembly cell. setup time between the phones is negligible. electronics assembly inc. operates two 8-hour shifts for 275 days per year. cell phone demand forecast (phones/year) processing time (minutes/phone) mars 47,000 19.8 saturn 35,000 20.7 neptune 7,500 16.2 a. calculate total capacity required by line. b. determine the total operating time available. c. calculate the total number of assembly cells. (round up your answer to the next whole number.)