1. Graph the following set of linear inequalities:y ≤ 2x + 2y≥ 2x-6x ≥ 1x < 6y≤62. For each extreme points, what is the objective value if the objective function is "minimize y+x"?(Hint: you may have unique, multiple, or no optimal solution).

To graph the set of linear inequalities and find the extreme points, we'll start by graphing each…

Answered: 1. Graph the following set of linear…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Graph the following system of linear inequalities. 3x - 3y ≤ 15 -3x-2y> -18 No Solution Hem to x>-4 Y <2 -43 12 41 40 10 14 7 10 4 4 4 H -30 55 Use the graph to determine if the solution set is bounded or unbounded. O The solution set is bounded. O The solution set is unbounded. Fill WebAssign Graphing Tool Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties.
3. Solve the following applications of the inequalities:An industrial firm manufactures a product with a unit selling price of $20 (dollars) and a variable cost of $15.If fixed costs are $600,000, determine the minimum number of units that must be sold for the company to earn a profit.
Suppose that the consumer has available income equal to Y, and the price of the goods is respectively p1 and p2. i. Derive the expressions of the quantities that maximise the utility of the consumer under the budget constraint. ii. Provide a diagram of the optimal solution.
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint
Suppose the following graphical representation of feasible solutions and direction of increasing of criterion fuction? Which point is optimal solution?
If an optimal value exists for an objective function, it exists at one of the vertices of the feasible region. Explain how to find the vertices.

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1. Graph the following set of linear inequalities: y ≤ 2x + 2 y≥ 2x-6 x ≥ 1 x≤6 y≤6 2. For each extreme points, what is the objective value if the objective function is "minimize y+x"? (Hint: you may have unique, multiple, or no optimal solution).