Suppose that each firm in a competitive industry has the following costs: total cost: tc=50+12q2tc=50+12q2 marginal cost: mc=qmc=q where qq is an individual firm's quantity produced. the market demand curve for this product is: demand qd=160−4pqd=160−4p where pp is the price and qq is the total quantity of the good. each firm's fixed cost is.

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

The following information is available for juno company for the month ending june 30, 2019. * balance as per the bank statement is $ 11 comma 000. * balance as per books is $ 10 comma 400. * check #506 for $ 1 comma 200 and check #510 for $ 900 were not shown on the june 30, bank statement. * a deposit in transit of $ 3 comma 346 had not been received by the bank when the bank statement was generated. * a bank debit memo indicated an nsf check for $ 70 written by jane smith to juno company on june 13. * a bank credit memo indicated a note collected by the bank of $ 1 comma 900 and interest revenue of $ 51 on june 20. * the bank statement indicated service charges of $ 35. what is the adjusted book balance?

Over the past decade, brands that were once available only to the wealthy have created more affordable product extensions, giving a far broader range of consumers a taste of the good life. jaguar, for instance, launched its x-type sedan, which starts at $30,000 and is meant for the "almost rich" consumer who aspires to live in luxury. by marketing to people who desire a luxurious lifestyle, jaguar is using: