If 7x₁ +4x2 840 is one of the problem constraints in a standard maximization problem in standard form with two decision variables, explain why the maximum value of the objective function exists Choose the correct answer *** OA. The constraint means that the feasible region is empty For any linear programming problem, if the feasible region is empty, then the maximum value of the objective function always exists OB. The constraint means that the feasible region is nonempty For any linear programming problem, if the feasible region is nonempty, the maximum value of the objective function always exists OC. The constraint means that the feasible region is bounded. For any linear programming problem, if the feasible region is bounded, then the maximum value of the objective function always exists OD. The constraint means that the feasible region is unbounded For any linear programming problem, if the feasible region is unbounded, then the maximum value of the objective function always exists.

Q: (a) The sequence with general term k = 1+3·e=²k (b) The sequence with general term k = 5-k².

A: a) The first five elements of the sequence are:

Q: (b) Show that for each z EQ, we have f(x) =

A: is a sunction such that and

Q: What is the shortest distance between the spherical surfaces (x − 3)² + (y + 4)² + (z − 5)² = 6 and…

A:

Q: ome rphish gro group G' with Kernal K. Let a&G be such that f(a)=a'=G'. Then the set of all those…

A: Given : We are given that f : G → G' is a homomorphism and Kernel of f is K. By the definition by…

Q: Given the matrix [0 1 -2 2 2 1 2 4 08 Use elementary row operations to carry it to a matrix that is…

A:

Q: 2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the…

A:

Q: Show your work neatly and logicall. Find the average rate of change of the function over the given…

A: (1)Compute the values of the function on given interval points.x2284Now average rate is calculated…

Q: Find a parametric equation of the surface S: 2x+3y+6z=12, first octant. Plot the surface S.

A:

Q: 3. Find the solution to the following system of linear equations using LU decomposition of the…

A: Note: '' As per guidelines we will solve the first question. If you want any specific question to be…

Q: Let G be a group and N is a normal subgroup of G. Let f be a mapping from G to H/N defined b f(x) =…

A: Given :  G be a group and N is a normal subgroup of G. Let f be a mapping from G to H/N defined by…

Q: The typical daily energy use of a household is described by a function f [-12, 12] → [0, ∞). The…

A: Since you have posted a question with multiple sub parts, we will solve the first three sub parts…

Q: Determine whether the equation is exact. If it is, then solve it. 2x (3) dx - y² dx - 7y- dy=0…

A:

Q: Consider the ODE and let Find the value(s) of a for which y(x) is a solution of the ODE. Hint:…

A:

Q: If a > 0, find the eigenvalues of x" + λax = 0, x(0) = x (b) = 0.

A:

Q: The partial fractions decomposition of 3x² + 5x + 10 x³ + 2x² + 2x + 4 Hint: one of the factors of…

A:

Q: Problem 4: (a) (b) 37 Perform each of the following calculations. using 3-digit chopping arithmetic.…

A: Let us solve above examples

Q: . Let T: C[0, 1]C[0, 1] be defined by y(t) = f' - [₁ Find R(T) and T: R(T) C[0, 1]. Is T¹ linear and…

A:

Q: 3. Laplace's equation in two dimensions += 0 has the general solution I(r,y)=)(4coshkr + Bsinh kr)…

A: Given answer is the form of ϕ(x,y)=∑k[Akcosh⁡(kx)+Bksinh⁡(kx)][Ckcos⁡(ky)+Dksin⁡(ky)]but the given…

Q: 7.6. y"+y' +1.25y = 0, y(0) = 3, y'(0) = 1

A:

Q: Solve the following system of linear equations: 5x2+10x3 = -60 5x2+5x3 = -35 x1-3x2-x3 = 9 If the…

A:

Q: 9. Let a, b, and d be positive integers. Prove that if (a, b) = 1 and d divides a, then (d, b) = 1.

A:

Q: or A = {1,2,3,4} and B = {3,4,5}, determine Ax B= B x A= X = (A x B)- (B x A) =

A:

Q: Suppose T U V and SV W are linear transformations, where U, V and W are vector spaces. Using the…

A:

Q: ect the graph that matches your sketch below: 2 1 2.5 + 9.5 -1 -2 -3 -4+ 4 3 2 1- -1 -2+ 0.5 1 1.5…

A: First, find the points of intersection of the two curves:Set y = 2 cos(2x) equal to y = 2 -…

Q: Can you please revisit 2 (b) , I think it is not correct , especially an+1.

A: Let ∑an(z−a)n be apower series.Then the radius of convergence R=1limn→∞|an+1an| if limit…

Q: the number of nonnegative integer solutions to (x₁ + x2 + x3 + x4 + X5) (X6 + X7 + x8 + x9 + x10) =…

A:

Q: Let A be a 4 x 5 matrix. If a₁, a2, and a4 are linearly × independent and a3 = a₁ + 3a2, a5 U = = -…

A:

Q: 4. A modification of the above differential equation is dy k(y-a) dt where k 0 and a are constants.…

A: 4. Given autonomous problem is Here equilibrium point obtained from That is  is equilibrium point…

Q: this please 1. Draw a point on your sheet and call it A. 2. Use red to draw a straight line through…

A: Take a sheet of paper with colored pens and follow the given instructions:1.2.Draw a straight line…

Q: How can I evaluate the improper integral of these problems? 1. y = 1/2sqrt(3-x), x = 3, coordinate…

A: To evaluate the improper integrals for these problems, you need to calculate definite integrals over…

Q: Draw the location of the line segment (in orange) after being reflected across the plane. 1-6-T In 3…

A: A cube with a line is given.The objective is to draw the line reflected about the plane. Solution…

Q: The rate of change r(t) (in thousands of articles per year) of the total number of research articles…

A:

Q: Assume you are the project manager for the Tidal 2 software project. You have been asked to…

A: Given: ElementLowMediumHighNumber of inputs28Number of inputs22Number of inquiries22Number of…

Q: Last week at Chili's, my wife and I played a game on a tabletop video screen. The object is to move…

A: Given Information:On a frog moving game, the conditions are:i) Frog can't move diagonally.ii) Can't…

Q: Que 310: Every homomorphic image of a group G is isomorphic to some quotient group of Gʻ.

A: We will use the first theorem of Isomorphism.

Q: Problem 9* Let An = [0, ½-1) = {x¤R| _0<x< ¹⁄} for n = 1,2,…. Define Find A. ∞ A = Ñ A₂ = A₁ A₂ Ñ……

A:

Q: 1. Let & be a connected category and hi Z→X and f Y. X= ง and g are Prove that if f ouch that f‡g,…

A: Given that:Let  be a connected category and  such that .To prove: If f and g are  constant morphisms…

Q: (2). Find the Disc of convergence for the following: (4+i)(z-3) (a). Στο (44+1)==4))". 6

A:

Q: Let A = {1,2} and B a) A x B b) BX A {0,4,7). Find the followings: c) A² d) B²

A:

Q: Find a basis of the subspace of R5 spanned by the following vectors: 4 1 -1 8 6 6 -2 2 12 16 -1 -2 2…

A:

Q: Each of the matrices given below is an aumented matrix of a system linear equations. In each case…

A:

Q: Some of the solutions y(x) of a first-order ODE dx 3 You can click the graph above to enlarge it.…

A: We have graph that represent the solution of .Each graph represents the solution of given ODE with…

Q: 3. Show that if X-ty to a constant morphiam in a connected category, then there exist's a unique…

A: To show this, let's break it down step by step:1. Constant Morphism: In a category, a morphism f:X→Y…

Q: Hello there, Can you help me with problems? Thank you! Find a bijective function from [10, 22] to…

A:

Q: 4. Let P₁ <P2<< p, be primes and let b = PIP2 Pr. Let a € Z. Prove that if bla², then bla.

A: We solve this using the fundamental theorem of arithmetic

Q: A company had net sales of ​$306,000. The beginning inventory at retail was ​$124,000 and the…

A:

Q: Find and sketch the domain of the following functions (a) f(x, y) = cosh-¹ (3- x² - y²) (b) f(x, y)…

A:

Q: (1) VL1, L2 (L1 L2 iff L₁* = L₂"). True

A: False. The statement is not true in general.

Q: Every homomorphic image of a group G is isomorphic to some quotient group of G'.

A:

Q: 2. Write the following sets in set-builder notation. There may be more than one correct…

A: We write the following sets in set-builder form (a) {-3-2-1,0,1,2,3}(b) {a,e,i,o,u}