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Suppose q=2L(1/2)+2k(1/2) A) Find the profit function B) Use the profit function to find the supply...
Suppose q=2L(1/2)+2k(1/2) A) Find the profit function B) Use the profit function to find the supply function C) Find the long run cost function D) use your answer from part "C" to check your answer for part "B"
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
7. A firm has the production function Q=LK. The firm initially faces input prices w = $1 and r = $1 and is required to...
7. A firm has the production function Q=LK. The firm initially faces input prices w = $1 and r = $1 and is required to produce Q=100 units. Later the price of labor w goes up to $4. Find the optimal input combinations for each set of prices and use these to calculate the firm's price elasticity of demand for labor over this range of prices.
7. [Profit Maximizing Input Demand-II] Consider a competitive firm with the following profit function ? =...
7. [Profit Maximizing Input Demand-II] Consider a competitive
firm with the following profit function
? = PQ?wL?rK,
where P = 3, w = 1 and r = 1 and
Q(K,L) = 9K^1/3L^1/3 .
529 The cost function for q units of a certain item is C(q) = 109 +...
529 The cost function for q units of a certain item is C(q) = 109 + 103. The revenue function for the same item is R(q) = 1099+ In q a. Find the marginal cost. b. Find the profit function, c. Find the profit from one more unit sold when 8 units are sold.
Let the production function be as follow: 2. L0.7 K.3 q(L, K) Also assume w 2 and r=4 Find out if we have increasing...
Let the production function be as follow: 2. L0.7 K.3 q(L, K) Also assume w 2 and r=4 Find out if we have increasing, decreasing or constant return to scale. a. Derive the long-run cost function. TC(q) b. Derive the average cost curve. Is it increasing or decreasing or constant in q? С. Let the production function be as follow: 3. q(L, K) LK3 Also assume w-4 and r=3 Find out if we have increasing, decreasing or constant return to...
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b...
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b) Calculate the Hessian 1 (x-4)' (Hr(%)) (x-%) at X-(1-2) c) Find the second-order Taylor approximation at xo- (1,-2) and use it to find an approximate value for f(1.1,-2.1 Use the calculator to compute the exact value of the function f(11,-2.1)
Exam 2018s1] Consider the function...
Given the production function: Q-4(KL)12, w = 16, r-25, and capital is fixed at level Ko....
Given the production function: Q-4(KL)12, w = 16, r-25, and capital is fixed at level Ko. Find the short-run total cost as a fiunction of Q: STCo) a. b. Find the short-run variable cost as a function of Q: VC(O) c. Find the short-run fixed cost as a function of Q: FC(Q) Given fixed cost = $10 and the total cost given belowcompletethetable assumingfixed price of$8.00. Total Product AVC ATC TR Profit AFC TC MC 20 28 lo Io 20...
. Consider the production function: f(K,L)=KLA. Let w and r denote the price of labor and capital, and let p denote...
. Consider the production function: f(K,L)=KLA. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w, r, and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p.
Suppose that firm’s production function is Q=min {2K, 4L}, and r=8$ and w=16$. Find the firm’s...
Suppose that firm’s production function is Q=min {2K, 4L}, and r=8$ and w=16$. Find the firm’s long-run total cost and average cost in terms of output.
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
7. A firm has the production function Q=LK. The firm initially faces input prices w = $1 and r = $1 and is required to produce Q=100 units. Later the price of labor w goes up to $4. Find the optimal input combinations for each set of prices and use these to calculate the firm's price elasticity of demand for labor over this range of prices.
7. [Profit Maximizing Input Demand-II] Consider a competitive
firm with the following profit function
? = PQ?wL?rK,
where P = 3, w = 1 and r = 1 and
Q(K,L) = 9K^1/3L^1/3 .
529 The cost function for q units of a certain item is C(q) = 109 + 103. The revenue function for the same item is R(q) = 1099+ In q a. Find the marginal cost. b. Find the profit function, c. Find the profit from one more unit sold when 8 units are sold.
Let the production function be as follow: 2. L0.7 K.3 q(L, K) Also assume w 2 and r=4 Find out if we have increasing, decreasing or constant return to scale. a. Derive the long-run cost function. TC(q) b. Derive the average cost curve. Is it increasing or decreasing or constant in q? С. Let the production function be as follow: 3. q(L, K) LK3 Also assume w-4 and r=3 Find out if we have increasing, decreasing or constant return to...
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b) Calculate the Hessian 1 (x-4)' (Hr(%)) (x-%) at X-(1-2) c) Find the second-order Taylor approximation at xo- (1,-2) and use it to find an approximate value for f(1.1,-2.1 Use the calculator to compute the exact value of the function f(11,-2.1)
Exam 2018s1] Consider the function...
Given the production function: Q-4(KL)12, w = 16, r-25, and capital is fixed at level Ko. Find the short-run total cost as a fiunction of Q: STCo) a. b. Find the short-run variable cost as a function of Q: VC(O) c. Find the short-run fixed cost as a function of Q: FC(Q) Given fixed cost = $10 and the total cost given belowcompletethetable assumingfixed price of$8.00. Total Product AVC ATC TR Profit AFC TC MC 20 28 lo Io 20...
. Consider the production function: f(K,L)=KLA. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w, r, and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p.
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