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Consider the following 2-D inputs: I-1,-2), (-1,01 E C1 and [f2,3l, (4,1)]EC2 Where C1 is associated with the target ze...
3. Consider the following 2-D inputs: -1, -2, 1,0 C and [12.3,, 14,13JeC2 where Cl is associated with the target zero a...
3. Consider the following 2-D inputs: -1, -2, 1,0 C and [12.3,, 14,13JeC2 where Cl is associated with the target zero and C2 is associated with the target one (a) Use MATLAB to solve the classification problem. What is the decision surface for this problem? (b) Suppose the new data input is {-2, -23. Show that your proposed classification is valid.
3. Consider the following 2-D inputs: -1, -2, 1,0 C and [12.3,, 14,13JeC2 where Cl is associated with the...
Consider the following network with the initial inputs and outputs i-0.8, irl, i,-0.9 with 0,-01-1 0.3 0.3 0.2 2 0. 0.9...
Consider the following network with the initial inputs and outputs i-0.8, irl, i,-0.9 with 0,-01-1 0.3 0.3 0.2 2 0. 0.9 (04 orm 0. 0.1 2. (Please use matlab) Suppose for above problem, the new inputs and the outputs are as follow: i,-12. 12-3, i,-8 and doー9, di How do you solve the problem with appropriate scaling of the inputs and outputs data sets.
Consider the following network with the initial inputs and outputs i-0.8, irl, i,-0.9 with 0,-01-1 0.3...
Exercise 3 Let us consider a market where 3 firms I = {1, 2, 3} compete...
Exercise 3 Let us consider a market where 3 firms I = {1, 2, 3} compete `a la Cournot (quantity-setting competition). The inverse demand function is given by p(Q) = 300 − 5Q, where Q = q1 + q2 + q3. The cost function is homogeneous and it is C1(q) = C2(q) = C3(q) = 30q. • Write explicitly the profit functions of each i ∈ I. • Derive best reply functions and the Nash equilibrium of the game. •...
NEED ANSWERS OF PART (f,g,h,j) Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1...
NEED ANSWERS OF PART (f,g,h,j)
Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1 is denoted by x, and the quantity used of input 2 is denoted by x2. The firm produces and sells one good using the production function f(x1, x2)-4x053x25. The final good is sold at price P $10. The prices of inputs 1 and 2 are w$2 and w2 $3, respectively. The markets for the final good and both...
1. Consider the case where a liquid is confined between two walls a distance D apart...
1. Consider the case where a liquid is confined between two walls a distance D apart with one wall located at r--D/2 and the other at x- D/2. The walls carry a surface charge density of ? and the liquid has only counter-ions to the surface charge. The Poisson-Boltzman equation (PBE) for this case is where is the electric potential that gives the electric field E- d '/dr, no is the nunber density of counter-ions of valency at x =...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...
2. Consider the circuit below, where the value of the capacitor is C 1 F, the...
2. Consider the circuit below, where the value of the capacitor is C 1 F, the initial condition is tr (0)--1 volts. Assume the input is the current source i,(t) and the voltage in the capacitor is ve(t) the output. Let the current source be ilt)-ult)- 1F (a) Find the outputv(t) analytically and plot it. (b) Suppose we double the input current, ie. i.(t) = 2(a(t)-u(t-1)), but keep the same initial condition (0). Find the new (t). (c) Can you...
Consider the following function: where x1 2 0,0,A 0, 0<1. a) Suppose that the preferences of...
Consider the following function: where x1 2 0,0,A 0, 0<1. a) Suppose that the preferences of a consumer regarding the consumption of goods x1 and x2 are represented by function = f(x1,x2) above. Suppose also that the consumer is endowed with some disposable income Y > 0 and faces prices pı and p2 respectively for goods x1 and x2. i) Derive and describe the demand of the consumer for goods x1 and x2. [20 marks] i) Are demand functions affected...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u. Show that the state equation can be written as the following cascade form: i fa(2) +F(z)y, 22u yT2, where z = [ri, r3]T e R2. Find the expression for fa (z) and F(z). (b) Show that when y0, the origin 0...
1. Symbolic and numerical tax incidence: Consider a market described by the following equations: where Y...
1. Symbolic and numerical tax incidence: Consider a market described by the following equations: where Y denotes income and α, β, γ, φ, and μ are parameters. Note that β must be less than zero and the other parameters are positive. Answer the following questions. Solve for the equilibrium price and quantity. Now suppose a specific tax, τ > 0, is imposed on this market that has to be paid to the government by suppliers. How can you represent the...
3. Consider the following 2-D inputs: -1, -2, 1,0 C and [12.3,, 14,13JeC2 where Cl is associated with the target zero and C2 is associated with the target one (a) Use MATLAB to solve the classification problem. What is the decision surface for this problem? (b) Suppose the new data input is {-2, -23. Show that your proposed classification is valid.
3. Consider the following 2-D inputs: -1, -2, 1,0 C and [12.3,, 14,13JeC2 where Cl is associated with the...
Consider the following network with the initial inputs and outputs i-0.8, irl, i,-0.9 with 0,-01-1 0.3 0.3 0.2 2 0. 0.9 (04 orm 0. 0.1 2. (Please use matlab) Suppose for above problem, the new inputs and the outputs are as follow: i,-12. 12-3, i,-8 and doー9, di How do you solve the problem with appropriate scaling of the inputs and outputs data sets.
Consider the following network with the initial inputs and outputs i-0.8, irl, i,-0.9 with 0,-01-1 0.3...
NEED ANSWERS OF PART (f,g,h,j)
Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1 is denoted by x, and the quantity used of input 2 is denoted by x2. The firm produces and sells one good using the production function f(x1, x2)-4x053x25. The final good is sold at price P $10. The prices of inputs 1 and 2 are w$2 and w2 $3, respectively. The markets for the final good and both...
1. Consider the case where a liquid is confined between two walls a distance D apart with one wall located at r--D/2 and the other at x- D/2. The walls carry a surface charge density of ? and the liquid has only counter-ions to the surface charge. The Poisson-Boltzman equation (PBE) for this case is where is the electric potential that gives the electric field E- d '/dr, no is the nunber density of counter-ions of valency at x =...
2. Consider the circuit below, where the value of the capacitor is C 1 F, the initial condition is tr (0)--1 volts. Assume the input is the current source i,(t) and the voltage in the capacitor is ve(t) the output. Let the current source be ilt)-ult)- 1F (a) Find the outputv(t) analytically and plot it. (b) Suppose we double the input current, ie. i.(t) = 2(a(t)-u(t-1)), but keep the same initial condition (0). Find the new (t). (c) Can you...
Consider the following function: where x1 2 0,0,A 0, 0<1. a) Suppose that the preferences of a consumer regarding the consumption of goods x1 and x2 are represented by function = f(x1,x2) above. Suppose also that the consumer is endowed with some disposable income Y > 0 and faces prices pı and p2 respectively for goods x1 and x2. i) Derive and describe the demand of the consumer for goods x1 and x2. [20 marks] i) Are demand functions affected...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u. Show that the state equation can be written as the following cascade form: i fa(2) +F(z)y, 22u yT2, where z = [ri, r3]T e R2. Find the expression for fa (z) and F(z). (b) Show that when y0, the origin 0...
1. Symbolic and numerical tax incidence: Consider a market described by the following equations: where Y denotes income and α, β, γ, φ, and μ are parameters. Note that β must be less than zero and the other parameters are positive. Answer the following questions. Solve for the equilibrium price and quantity. Now suppose a specific tax, τ > 0, is imposed on this market that has to be paid to the government by suppliers. How can you represent the...
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