Given the feasible region ((x, y) -y 0, z 2 0, y 2 0), show that the bounds 2 0 and y 2 0 are bot...
Graph the feasible region. −x + y ≤ 0, x ≤ 5, y ≥ -2 Find all corner points. there is 3 in all. (Order your answers from smallest to largest x, then from smallest to largest y.)
5] (2) GIVEN: a> 0,0# {(x, y, z) z a"-x'-y") W is the solid region of R' that is below 2 and above the xy- plane. W has constant density,8 and the mass of W is M, m(W) M FIND: The moment of inertia, I, of W with respect to the z- axis, express 2 I in terms of M and a without 8
(2 points) Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", or "unbounded". Report your vertices starting with the one which has the smallest x-value. If more than one vertex has the same, smallest x-value, start with the one that has the smallest y-value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank I+y<5 2.1 + y<7 I >...
Feasible region for an optimization problem is given as follows: у D E B A X Coordinates of the corner points are given in below table: Corner Points A B с D E Coordinates X 4 2 8 3 7 6 5 8 5 Find the optimum values of the following objective functions according to the given feasible region: a) min z = 5x +9y b) min z = 2x – 3y c) max z = 3x + 4y max...
You are given the following multivariate PDF (x, y, z) ES fxx.2(x, y, z) =- 0 else where S-((z, y, z) 1x2 + уг + z2 < 1} (a) (5 points) Let T be the set of all points that lie inside the largest cylinder by volume that can be inscribed in the region of S. Similarly let U be the set of all points that lie inside the largest cube that can be inscribed in the region of S....
2. You are given the following multivariate PDF (x, y, z) E S X,Y,2(x, y,z)=)4m 0 else where S-((x, y, z) 1x2 + y2 +#51). (a) (5 points) Let T be the set of all points that lie inside the largest cylinder by volume that can be inscribed in the region of S. Similarly let U be the set of all points that lie inside the largest cube that can be inscribed in the region of S. What would the...
Verify Stokes’ Theorem, given F (x,y,z) = < y,-x,yz > , and the region S of the surface z = x^2 + y^2 below z = 1.
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + y + z + w subject to x + y ≥ 80 x + z ≥ 60 x + y − w ≤ 50 y + z − w ≤ 50...
(1 point) Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. x + y = 6 2x + y 2 10 x + 2y 27 x 20 y20 The shape of the feasible region: Quadrilateral List the vertices (as a list of points such as "(2,3), (5,7), (0,0)"):
Solve by Linear Programming. (Be sure to show the graph of the feasible region, the appropriate vertices, optimal value, AND SHOW ALL WORK!.) Exercise 1 LP 1. Maximize: C = x – y Constraints: x ≥ 0, and y ≥ 0 x + 3y ≤ 120 3x + y ≤ 120 Exercise 2 LP 2. Maximize: C = 3x + 4y Constraints: x + y ≤ 10 – x + y ≤ 5 2x + 4y ≤ 32