Homework Answers
Add Answer to:
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q ar...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q are prices per unit of the two goods, and x and y are the corresponding quantities. The costs of producing x units of the first good and y units of the other are C(x,y) = 3x + 3xy + y2 (a) Find the monopolist's profit (x,y) from producing and selling x units of the first good...
9. Consider the utility maximization problem max x + y s.t. px + y =m, where...
9. Consider the utility maximization problem max x + y s.t. px + y =m, where the constants p, 9, and m are positive, and the constant a € (0,1). (a) Find the demand functions, x* (p, m) and y* (p, m). (b) Find the partial derivatives of the demand functions w.r.t. p and m, and check their signs. (c) How does the optimal expenditure on the x good vary with p?8 (d) Put a = 1/2. What are the...
Consider the following utility function of 3 goods, x, y and z: U(x,y,z)=ax+by+cz; x,y,z≥0 and a,...
Consider the following utility function of 3 goods, x, y and z: U(x,y,z)=ax+by+cz; x,y,z≥0 and a, b, c are constants. The prices of good x and y is denoted by pX and pY respectively. The income is denoted by m. Good z is provided by the government free of cost but the quantity of good z provided by the government depends on the consumption of good x and y chosen by the consumer. For example, if in equilibrium, the consumer...
E Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodi...
2 and 4b please
e Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodity. The daily cost of producing Q its of A and Q2 units of B is C(Q1,02)-0.10 +0102 +Q. Suppose that the firm sells all its output at a price per unit of P1 120 for A and P290 for B. (a) Find the daily production levels that maximize profits. (b) If P2 remains unchanged at...
2. A firm produces (= units of a commodity when labour input is L units. The...
2. A firm produces (= units of a commodity when labour input is L units. The price obtained per unit of output is P, and the price per unit of labour is w, both positive. (a) Write down the profit function w. What choice of labour input L=L* maximizes profits? (b) Consider L* as a function L (P, w) of the two prices, and define the value function (P, w) = (L* (P, w), P, w) Verify that ax/aP =...
Consider the production function Y = x x Px= $6, Px, = $3, P, = $15...
Consider the production function Y = x x Px= $6, Px, = $3, P, = $15 At which levels of X1, X, and Y will profit be maximized? (Hint: write a profit maximization problem and solve for profit maximization condition using MPP and price ratio)
6. Suppose that the price of good X is $1 and the price of good Y...
6. Suppose that the price of good X is $1 and the price of good Y is $1, and that income is $7. The following tables show the marginal utility schedules for X and Y: Good X: Good Y: Qx MUx Qy MUy 1 15 1 12 2 11 2 9 3 9 3 6 4 6 4 5 5 4 5 3 6 3 6 2 7 1 7 1 How much of good X and how much of good Y should the individual purchase to maximize utility? Explain how you know. (Hint: There are 2 conditions that must be satisfied.)
SM 3. A firm uses capital K, labour L, and land T to produce units of...
SM 3. A firm uses capital K, labour L, and land T to produce units of a commodity, where Q=K2/3+ 1/2+/3 Suppose that the firm is paid a positive price p for each unit it produces, and that the positive prices it pays per unit of capital, labour, and land are r, w, and q, respectively. (a) Express the firm's profits as a function of (K,L,T). Then, find the values of K, L, and T, as functions of the four...
Each firm produces both goods, i.e., good 1 and good 2. Each firm takes the market prices p 0 and p2 2 0 as firm produc...
Each firm produces both goods, i.e., good 1 and good 2. Each firm takes the market prices p 0 and p2 2 0 as firm produces T units of good 1 and x2 units of good 2, with (xi, x2) the total costs of C(x.x) = 2i+0.5«% given and chooses output to maximize profits.1 If a R2, it has 1200 (a) (1 point ) For given prices p1 and p2, find the revenue, R(x1, x2), of a single firm (b)...
11. A firm uses K and Lunits of two inputs to produce KL units of a...
11. A firm uses K and Lunits of two inputs to produce KL units of a product, where K >0,L>0. The input factor costs are r and w per unit, respectively. The firm wants to minimize the costs of producing at least units. (a) Formulate the nonlinear programming problem that emerges. Reformulate it as a maximiza- tion problem, then write down the Kuhn-Tucker conditions for the optimum. Solve these conditions to determine K and Las functions of (r,w,Q). (b) Define...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q are prices per unit of the two goods, and x and y are the corresponding quantities. The costs of producing x units of the first good and y units of the other are C(x,y) = 3x + 3xy + y2 (a) Find the monopolist's profit (x,y) from producing and selling x units of the first good...
9. Consider the utility maximization problem max x + y s.t. px + y =m, where the constants p, 9, and m are positive, and the constant a € (0,1). (a) Find the demand functions, x* (p, m) and y* (p, m). (b) Find the partial derivatives of the demand functions w.r.t. p and m, and check their signs. (c) How does the optimal expenditure on the x good vary with p?8 (d) Put a = 1/2. What are the...
2 and 4b please
e Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodity. The daily cost of producing Q its of A and Q2 units of B is C(Q1,02)-0.10 +0102 +Q. Suppose that the firm sells all its output at a price per unit of P1 120 for A and P290 for B. (a) Find the daily production levels that maximize profits. (b) If P2 remains unchanged at...
2. A firm produces (= units of a commodity when labour input is L units. The price obtained per unit of output is P, and the price per unit of labour is w, both positive. (a) Write down the profit function w. What choice of labour input L=L* maximizes profits? (b) Consider L* as a function L (P, w) of the two prices, and define the value function (P, w) = (L* (P, w), P, w) Verify that ax/aP =...
Consider the production function Y = x x Px= $6, Px, = $3, P, = $15 At which levels of X1, X, and Y will profit be maximized? (Hint: write a profit maximization problem and solve for profit maximization condition using MPP and price ratio)
SM 3. A firm uses capital K, labour L, and land T to produce units of a commodity, where Q=K2/3+ 1/2+/3 Suppose that the firm is paid a positive price p for each unit it produces, and that the positive prices it pays per unit of capital, labour, and land are r, w, and q, respectively. (a) Express the firm's profits as a function of (K,L,T). Then, find the values of K, L, and T, as functions of the four...
Each firm produces both goods, i.e., good 1 and good 2. Each firm takes the market prices p 0 and p2 2 0 as firm produces T units of good 1 and x2 units of good 2, with (xi, x2) the total costs of C(x.x) = 2i+0.5«% given and chooses output to maximize profits.1 If a R2, it has 1200 (a) (1 point ) For given prices p1 and p2, find the revenue, R(x1, x2), of a single firm (b)...
11. A firm uses K and Lunits of two inputs to produce KL units of a product, where K >0,L>0. The input factor costs are r and w per unit, respectively. The firm wants to minimize the costs of producing at least units. (a) Formulate the nonlinear programming problem that emerges. Reformulate it as a maximiza- tion problem, then write down the Kuhn-Tucker conditions for the optimum. Solve these conditions to determine K and Las functions of (r,w,Q). (b) Define...
Most questions answered within 3 hours.
-
You purchase your daily coffee at the Chemist’s Coffeehouse and
have a choice of two cups:...
asked 1 hour ago -
Which of the following pairs of chemicals could be used to make
a buffer solution?
A.)...
asked 1 hour ago -
Problem 16-51 Sales
Activity Variance (LO 16-3)Odessa, Inc., reports the following
information concerning operations for the...
asked 1 hour ago -
Pictured on the right are thee point charges Q1 = 18.4 μC, Q2 =
-30.6 μC,...
asked 1 hour ago -
A graduate student is conducting research in psychology and
needs to obtain the IQ scores of...
asked 2 hours ago -
R2.84: There are 2 defective products in a production lot of 10.
An inspector randomly selected...
asked 3 hours ago -
Consider the following equilibrium system: COCl2(g) CO(g) +
Cl2(g) A 10.00 L evacuated flask is filled...
asked 4 hours ago -
1) What are the two distinct steps that one needs to perform
when developing a data...
asked 4 hours ago -
2) Write a C++ program that uses a class called “Degree” to
obtain the trigonometric
values...
asked 5 hours ago -
1. In eukaryotic cells the genomes of
&
asked 5 hours ago -
The standard enthalpy of propanol (C3H7OH) is -303.0 kJ/mol.
Compute both of the
gross and net...
asked 5 hours ago -
Why PWM using H-bridge for control motor speed is more power
effiecient than the linear amplifier...
asked 5 hours ago