Based on market research, a film production company in ectenia obtains the following information about the demand and production costs of its new dvd: demand: p=1,200−10q total revenue: tr=1,200q−10q^2 marginal revenue: mr=1,200−20q marginal cost: mc=300+10q
where q indicates the number of copies sold and p is the price in ectenian dollars. (a.) find the price and quantity that maximizes the company's profit. (b.) find the price and quantity that would maximize social welfare. (c.) find the dead weight loss. (d.) suppose, in addition to the costs above, the director of the film has to be paid. the company is considering four options: (i.) a flat fee of 2,000 ectenian dollars; (ii.) 50 percent of the profits; (iii.) 150 ectenian dollars per unit sold; and (iv.) 50 percent of the revenue.

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

Kyle and alyssa paid $1,000 and $4,000 in qualifying expenses for their two daughters jane and jill, respectively, to attend the university of california. jane is a sophomore and jill is a freshman. kyle and alyssa's agi is $135,000 and they file a joint return. what is their allowable american opportunity tax credit after the credit phase-out based on agi is taken into account?

What is an equation of the line in slope intercept formm = 4 and the y-intercept is (0,5)y = 4x-5y = -5x +4y = 4x + 5y = 5x +4