Maximize 3x+3y+8z Subject to: 5x + 2y + 9z 100 Constraint (1) -3x+3y+2z≤ 300 Constraint (2) 10x-2y-6z≤0 Constraint (3) x, y, z≥0 Constraint (4)
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IM BEGGING HELP ME PLEASEEE IM SO THANKFUL OR GRATEFUL
a) The optimal solution is
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x=900, y=0, and z=1500. |
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x=20, y=50. and z=0. |
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x=0, y=100, and z=150. |
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x=100, y=0, and z=2000. |
b) Which statement is true?
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Constraint (1) is binding. |
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Constraint (2) is binding. |
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Constraint (3) is binding. |
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Constraints (2) and (3) are binding. |
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- Choose Yes or No to indicate whether each of the following statements about the CONVEXITY OR CONCAVITY of an OBJECTIVE FUNCTION of convex programming problems is true. Objective function may exist and may be concave Objective function may exist and may be convex Objective function may exist and may be neither convex nor concave Objective function may exist and must be concave Objective function may exist and must be convex Objective function may exist and must be neither convex nor concave Objective function must exist and must be concave Objective function must exist and must be convex Objective function must exist and must be neither convex nor…Maximize P=x1+2x2+x3, Subject to: 3x1+x2+x3≤4 x1+x2+2x3≤4 x1,x2,x3≥0A study on ethics in the workplace by the Ethics Resource Center and Kronos, Inc., revealed that 35% of employees admit to keeping quiet when they see coworker misconduct. Suppose 70% of employees who admit to keeping quiet when they see coworker misconduct call in sick when they are well. In addition, suppose that 45% of the employees who call in sick when they are well admit to keeping quiet when they see coworker misconduct. If an employee is randomly selected, determine the following probabilities:a. The employee calls in sick when well and admits to keeping quiet when seeing coworker misconduct.b. The employee admits to keeping quiet when seeing coworker misconduct or calls in sick when well.c. Given that the employee calls in sick when well, he or she does not keep quiet when seeing coworker misconduct.d. The employee neither keeps quiet when seeing coworker misconduct nor calls in sick when well.e. The employee admits to keeping quiet when seeing coworker misconduct and does not…
- Minimize Z= x1+2x2-3x3-2x4 subject to: x1+2x2-3x3+x4=4 x1+2x2+x3+2x4=4 x1, x2, x3,x4 are equal or greater then zeroUse the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 2x + 9y subject to the following. 2x + 5y ≤ 50 x + 5y ≤ 45 x + y ≤ 14 (x,y)= f=Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 14y + 4z subject to the following. 3x + 5y + 4z ≤ 30 3x + 2y ≤ 4 x + 2y ≤ 8 (x,y,z)= f=
- Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 22y subject to 14x + 7y ≤ 35 5x + 5y ≤ 50 (x,y)= f=The equation below specifies a function with independent variable x. Determine whether the function is linear, constant, or neither x=2y+5Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 20x + 12y + 12z subject to the following. x + z ≤ 45 x + y ≤ 30 y + z ≤ 45 (x,y,z)= f=
- Use the table below to answer the questions that follow and caculate the Expected Monetary Value(EMV) of the different outcomesDECISION TABLE WITH CONDITIONAL VALUESSTATE OF NATUREFAVORABLE OUTCOME UNFAVORABLE OUTCOMEALTERNATIVES ($) ($)Start a big Company 2,000,000 -500,000Start a small company 800,000 -200,000Build Nothing 0 0Probabilities 0.3 0.7Calculate the following The EMV Maximin criterion Maximax criterion Minimax criterionProblem 3: Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express each of the following statements.1. Everybody loves Jerry.2. Everybody loves somebody.3. There is somebody whom everybody loves.4. Nobody loves everybody.5. There is somebody whom Lydia does not love.6. There is somebody whom no one loves.7. There is exactly one person whom everybody loves.8. There are exactly two people whom Lynn loves.9. Everybody loves himself or herself.10. There is someone who loves no one besides himself or herself.Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 7x + 8y subject to x + 2y ≤ 10 x + y ≤ 7 (x,y)= f=