Find the feasibility region and the vertices of the following: 1. 3x + 4y ≥ 12 x≤ 3 y22 x≥0

Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

Graph the feasible region for the system of inequalities.   4x+y<1 4x−y<2 Use the graphing tool to graph the system.   Please enter the points on the graph

Set up the simplex tableau. Do not solve Maximize z=135x1 + 255x2 85x1 + 64x2≤530 75x1 + 37x2≤130 24x1 + 12x2≤92 x1≥0, x2≥0.

In a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to play. Camila designs each region using a coordinate grid where each unit on the grid represents one foot. Part A Camila’s first design is triangular-shaped. On the coordinate grid, she identifies two of the vertices to be (0, 0) and (0, 35). The third vertex is labeled as (x, 42). What is the positive x-coordinate of the third vertex if the area of the region will cover 700 square feet? Part B Camila’s second design is a six-sided region using the coordinates (0, 0), (0, 35), (30, 0), (40, 48), (35, 48), and (5, 35). How many feet of fencing material will Camila need for this region (rounded to the nearest whole number) ?

Graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic feasible solutions of the associated e-system. 3x₁ + 7x₂ ≤ 42 S X₁ + 2x₂ ≤ 13 x₁, x₂ > 0 Click the icon to view the table of basic solutions.

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. y>4 x25 O A. Unbounded A O B. Bounded ← O C. Bounded Ay O O D. Unbounded

7. Find the foci and vertices x² 16 a. 9. b. 3y²+12x-124+1630

Find the coordinates for the 6 vertices, show all work!!!

V8 00000 V7 B. 02 C. V3 5 D. VA E. 05 V6 3. Let S = {₂}. Which of the following vertices are in N(S)? A. V₁ V2 F. 06 G. V7 H. V8 I. None of the above V5 V3 VA