Question 1: Suppose two firms, Genera Pharma and Futura Pharma, are the only two producers of a specific drug. Genera and Futura have the same formula and sell the drug for the same price, but they are considering whether or not to spend money on an advertising campaign. Each firm can either buy the advertising campaign or not buy it and the following table shows profits for four different scenarios. Genera AD No AD AD Futura (4,4) (0,12) No AD (12,0) (8,8) 1. What is the scenario that maximizes the sum of profits of the two companies? 2. Is there a dominant strategy for each firm? 3. What is the pure strategy Nash Equilibrium? 4. Denote the probability of choosing AD for Futura as fand for Genera as g. Find the best response function for Futura, b, (g), and Genera, bg (f).

Q: Let f (u, v) = (tan(u - 1) - eº, 5u² - 4v²) and g(x, y) = (e6(x-y), 6 (x - y)). Calculate f . g.…

A: It is provided that f(u,v)=tanu-1-ev, 5u2-4v2 and gx, y=e6x-y, 6x-y. We need to calculate f∘g and…

Q: d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂)…

A:

Q: If F=xi+yj, prove that JF.ñds equals [V.FdA, where R is the disk of radius C R "a" and centre at the…

A: Given Data: F =xi  +yjTo Prove:∫C F . n ds =∫R∇·F dA where R is the disk of radius ''a'' and centre…

Q: 1. A rectangular page of unknown dimensions is to contain 24 square inches of print. The margins at…

A: Let length of the printed page be 'x' inch and breadth is 'y' inch. Now Given that…

Q: For the following sequences, calculate their limits superior and inferior. (a) (b) ((-1)" (1-))1 (c)…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Explain the error made when rotating B(3, - 1) counterclockwise 270 degrees about (- 2, - 5) . Step…

A: given point B3,-1 claim- rotate counterclockwise 270° about -2,-5 solution if the point of rotation…

Q: Example 2: If 2x+3 is a factor of f(x) = 6x³ +5x²-16x-15, determine the other factors and sketch a…

A:

Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A:

Q: Let GL(2, 11) be the group of all invertible 2 × 2 matrices with entries in Z₁1, with group…

A:

Q: 2) Let Z229 be a finite field (Note that p = 229 is a prime) and Z229 = i.e. 6 is the generator for…

A: In this question, the concept of modular arithmetic is applied. Modular Arithmetic Modular…

Q: Does the function f(x, y) = e¯(x²+y²) achieve an absolute *maximum* on D = R²? If it doesn't then…

A:

Q: Match the equations of the surface with the graphs below. A D 1. y=x²- z² 2. y² = x² +22² 3. y = 2x²…

A: Hyperbolic paraboloid:  y=x²-z²

Q: O Degree 2, positive leading coefficient O Degree 2, negative leading coefficient O Degree 3,…

A: Introduction: For left-hand behavior (negative numbers), you need to think about each the constant…

Q: Exercise: Newton's Divided Difference Method (a) Construct a divided difference table from the…

A: We use newton's forward and backward divided difference formula

Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A:

Q: Show that the quotients field of the integral domain Z[i] ={a + ib: a, b ∈ Z} is K = {x + iy: x, y…

A:

Q: The line L₁ has equation "1= The line L2 has equation 6 (9) - 3 5 +A6 5 -3 --0-0 = 21 14 -7…

A: The equation of the lines are: r1=639+λ565 and r2=-32114+μ-760. We need to find the value of λ, μ…

Q: 1. (x(t), y(t)) DETAILS Use variation of parameters to solve the given nonhomogeneous system. dx dt…

A:

Q: The Euler totient function is defined as ϕ (m) = |{k : 1 ≤ k ≤ m gcd(k, m) = 1}|,  or rather the…

A:

Q: Given the following non-linear model Min x² + y² + 2x²y + 2xy + 2x²y²-8x-6y-14zy subject to 2² + y²…

A: given model Min x2+y2+2x2y+2xy2+2x2y2-8x-6y-14xy subject to  x2+y2≤5 (1) formulate the first two KKT…

Q: Which of the following statements are equivalent? Proof your result P→ (Q→R) ! (P→Q) ^ (P→ R) (PAQ)…

A:

Q: B A Proved (K²_K²'²') (1-²²k²a) (K+K) ² - (K-K) ² 21P9 A(KIK)- BLK-K') = F (K+K ² ) e A UKK KK 9 e…

A: Given: BA=k2-k'21-e2ik'ak+k'2-k-k'2e2ik'aAnd,Ak+k'-Bk-k'=Fk+k'eik-k'a We have to prove that:…

Q: Let A be a 3 x 4 matrix such that solutions to A = 0 are linear combinations of X and X2 vhere Find…

A:

Q: Explain how the following limit works and what it is used for. f(x+h)-f(x) h lim h 0

A: Given Data: limh→0fx+h-fxh the following limit works and what it is used for.

Q: this answer is incorrect

A:

Q: Question No.5 If the function u(x,t) satisfies the following: 1 PDE:uu+k; 0≤x≤l, t>0 BCs: u(0,1)=u,…

A: Introduction: An initial boundary value problem is such problem where the initial as well as…

Q: Find a vector v that is perpendicular to the plane containing 3 -() 6 and 0 2

A:

Q: d: R²XR² → R₁+ d(x, y) = { x = (x₁, x₂), y = (y₁ - y₂) ER² 1 1 { 132₁_2₂1,1} if x₁=3₂₁ ; 1 otherwise…

A:

Q: y=0, Solve problems below using min/max decomposition. min max (-2+y)+(5-3). 05:53 4.4 s.t. 24 +3₂…

A: Given,             min0≤y≤3  maxu1, u2 (-2+y)u1+(5-y)u2    subject to            2u1+3u2≤4…

Q: (e) The method ди = dx h order 2. [u(x+h),y(t)—u(x,y(t))] is of

A:

Q: au at a²u 28. Solve Əx² U(x, 0) = 3 sin 2+x, U(0, t) = 0, U(1, t) = 0. = where 0 0 together with…

A:

Q: In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In…

A:

Q: Show that the quotients field of the integral domain Z[i]={a + ib: a, b E Z} is K= {x + iy: x, y E…

A:

Q: Use all four operations and at least one exponent to write an expression that has a value of 100

A:

Q: 1 Given the functions f(x)=x² and g(x) = 3x-2, determine how the vertex of the composite function…

A:

Q: the following statement. 'If yes, explain why. If no, provide a counterexample. For every real…

A:

Q: Suppose that 2,..., are distinct eigenvalues of matrix A with corresponding eigenvectors…

A: Given That : suppose λ1,λ2,λ3,...,λn are the distinct eigenvalues of the matrix A with corresponding…

Q: ve of a graph is given below. 8) The first derivative of a graph is below. Does f have a min? If so,…

A: 8. Given is the graph of the first derivative of the function f(x). To Find: if f have a min and if…

Q: Solve the differential equation d y(x) = Don't forget to add the multiplication sign * if you need…

A:

Q: Using 4 steps of the Power method, with q, = (1,0,0), find an approximation to the largest…

A: Given : A=123231312     q0=1 , 0 , 0T To Find :Largest  Eigen value by power method

Q: IF in a normed space X, the absolute convergence of every series always implies convergence of the…

A:

Q: Find a unit vector v that is perpendicular to both of the vectors and Click 6 3 -6 ab insert a…

A:

Q: Perform two steps of the Conjugate Gradient method an approximate solution to the system Ax=b where…

A: First of all the Conjugate gradient method requires the matrix A to be symmetric positive definite.…

Q: 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37 and 38 Describe in words the region of R³…

A:

Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

A:

Q: Problem 2. Let f(x,y) = Compute fry (0,0) and fyr (0,0). xy(x² – y²) x² + y² 0 9 2 (x, y) = (0,0)…

A:

Q: Given the sets A, B and the universal set U, and that A and B are not disjoint, draw a Venn diagram…

A: It is provided that A, B are two sets that are not disjoint and U is the universal set. We need to…

Q: Graph of the function f(x) = x3  is translated horizontally to create g(x) . If the point (4,8) is…

A: Graph of the function f(x) = x3  is translated horizontally to create g(x) if the point (4,8) is on…

Q: ODE dy = sin (x+y) √x

A:

Q: 3. Let if z #i if z = i g(z) = 4i (a) Prove that limzi f(z) exists and determine its value. (b)…

A: