please help me in this questions 20 The long run cost functions for each firm that supplies Q is C jQuery22406088622857887618 1621489323874 Firms will enter the industry if profits are positive and leave the industry if profits are negative Describe the industry's long run supply function Assume that the corresponding demand function is D 2000 100p Determine equilibrium price, aggregate quantity, and number of firms 21 Construct an effective supply curve for an industry which has two sources of supply (1) domestic production with the supply curve S 20 8p, and (2) an unlimited supply of imports at a fixed price of 20 22 Assume fifty years supply commodity Q at location I and fifty at location II The cost of producing output q i for the i th firm (in either location) is 0 5 The cost of transporting the commodity to the market from location I is 6 dollars per unit and from location II, 10 dollars per unit Determine the aggregate supply function 23 Consider the following markets which are characterized by lagged supply response (a) D t 40 10p t S t 2 9p t 1 (b) D t 30 5p t S t 20 p t 1 Determine equilibrium price and quantity for each market Assume an initial price 20 percent below the equilibrium price for each market, and determine the number of periods necessary for each price to adjust to within 1 percent of equilibrium 24 Let the demand and cost functions of a multiplant monopolist be p a b(q 1 q 2 ), C 1 , and C 2 where all parameters are positive Assume that an autonomous increase of demand increases the value of a, leaving the other parameters unchanged Show that output will increase in both plants with a greater increase for the plant in which marginal cost is increasing less fast 27 Let the demand and cost functions of a monopolist be p 100 3q 4 and C 4q 2 10q A where A is the level of her advertising expenditure Find the values of A, q, and p that maximize profit 28 Consider a market characterized by monopolistic competition There are 101 firms with identical demand and cost functions p k 150 q k 0 02 C k 0 5 k 1, , 101 Determine the maximum profit and the corresponding price and quantity for a representative firm Assume that the number of firms in the industry does not change 29 Let duopolist I, producing a differentiated product, face an inverse demand function given by p 1 100 2q 1 q 2 and have the cost function C 1 2 5 Assume that duopolist II wishes to maintain a market share of Find the optimal price, output, and profit for duopolist I Find the output of duopolist II 30 Let two duopsonists have production functions and where x 1 , x 2 are the input levels employed by the duopsonists Assume that the input supply function is r 2 0 1(x 1 x 2 ) where r is the supply price of the input, and that q 1 and q 2 are sold in competitive markets for prices p 1 2 and p 2 3 (a) Find the input reaction functions (b) Determine the Cournot equilibrium values for x 1 , x 2 , and q 1 , q 2 , ,

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please help me in this questions 20.The long-run cost functions for each firm that supplies Q is C = ? ? jQuery22406088622857887618_1621489323874 ? + ??

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20.The long-run cost functions for each firm that supplies Q is C = ?^? jQuery22406088622857887618_1621489323874^?+ ??. Firms will enter the industry if profits are positive and leave the industry if profits are negative. Describe the industry's long-run supply function. Assume that the corresponding demand function is D = 2000 - 100p. Determine equilibrium price, aggregate quantity, and number of firms.

21.Construct an effective supply curve for an industry which has two sources of supply: (1) domestic production with the supply curve S = 20 + 8p, and (2) an unlimited supply of imports at a fixed price of 20.

22.Assume fifty years supply commodity Q at location I and fifty at location II. The cost of producing output q_i for the i^th firm (in either location) is 0.5?^?_?. The cost of transporting the commodity to the market from location I is 6 dollars per unit and from location II, 10 dollars per unit. Determine the aggregate supply function.

23.Consider the following markets which are characterized by lagged supply response:

(a) D_t = 40 - 10p_t ; S_t = 2 + 9p_t-1. (b) D_t = 30 - 5p_t ; S_t = 20 - p_t-1.

Determine equilibrium price and quantity for each market. Assume an initial price 20 percent below the equilibrium price for each market, and determine the number of periods necessary for each price to adjust to within 1 percent of equilibrium

24.Let the demand and cost functions of a multiplant monopolist be p = a - b(q₁ + q₂), C₁ =

?_??_?+ ?_??^?_?, and C₂ = ?_??_?+ ?_??^?_? where all parameters are positive. Assume that an autonomous increase of demand increases the value of a, leaving the other parameters unchanged. Show that output will increase in both plants with a greater increase for the plant in which marginal cost is increasing less fast.

27.Let the demand and cost functions of a monopolist be p = 100 - 3q + 4?and C = 4q² + 10q + A where A is the level of her advertising expenditure. Find the values of A, q, and p that maximize profit.

28.Consider a market characterized by monopolistic competition. There are 101 firms with identical demand and cost functions: p_k = 150 - q_k - 0.02 ^???_?=??_?

? ?

C_k = 0.5?^?_? ???^?_?+ ????_?k = 1, ......, 101

Determine the maximum profit and the corresponding price and quantity for a representative firm. Assume that the number of firms in the industry does not change.

29.Let duopolist I, producing a differentiated product, face an inverse demand function given by p₁ = 100 - 2q₁ - q₂ and have the cost function C₁ = 2.5?^?_?. Assume that duopolist II wishes to maintain a market share of . Find the optimal price, output, and profit for duopolist I. Find the output of duopolist II.

30.Let two duopsonists have production functions ?_?= ???_? ?. ??^?_? and ?_?= ???_? ?. ??^?_? where x₁, x₂ are the input levels employed by the duopsonists. Assume that the input supply function is r = 2 + 0.1(x₁ + x₂) where r is the supply price of the input, and that q₁ and q₂ are sold in competitive markets for prices p₁ = 2 and p₂ = 3. (a) Find the input reaction functions.