A firm in a purely competitive industry is currently producing 1,000 units per day at a total cost of $600. If the firm produced 800 units per day, its total cost would be $400, and if it produced 500 units per day, its total cost would be $375.
Instructions: Enter your answers rounded to two decimal places,
a. What is the firm's ATC per unit at these three levels of production?
at 1,000 units, ATC=
at 800 units, ATC=
at 500 units, ATC=
b. if every firm has the same cost structure, is the industry in long-run competitive equilibrium?
c. From what you know about these firms’ cost structures, what is the highest possible price per unit that could exist as the market price in long-run equilibrium?
d. If that price ends up being the market price and if the normal rate of profit is 10%, then what will each firm’s accounting profit per unit be? cents per unit.

The economic advisor of a large tire store proposes the demand function d(p)equalsstartfraction 1900 over p minus 40 endfraction , where d(p) is the number of tires of one brand and size that can be sold in one day at price p. answer parts (a) through (e) below. a. recalling that the demand must be positive, what is the domain of this function? the domain consists of all possible values of ▼ for which ▼ p d(p) ▼ does not exist. is positive. is zero. is negative. exists.

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 a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.