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Minimize z 3x+5y subject to constraints

Web30 mrt. 2024 · Transcript Ex 12.1, 2 Solve the following Linear Programming Problems graphically: Minimise Z = – 3x + 4 y subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0. … WebMinimize and maximize: z = 3x + 9y Subject to the constraints: x + 3y ≥ 6 x + y ≤ 10 x ≤ y x ≥ 0; y ≥ 0 Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution star_border Students who’ve seen this question also like: Algebra: Structure And Method, Book 1 Inequalities. 2E expand_more Want to see this answer and more?

Maximize Z =5 x +3 y, subject to constraints 3 x +5 y ≤ 15,5

Web22 sep. 2024 · The maximum value of Z = 3x + 4y subjected to contraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is (a) 120 (b) 140 (c) 100 (d) 160 Answer Question 9. Maximize Z = 11 x + 8y subject to x ≤ 4, y ≤ 6, x + y ≤ 6, x ≥ 0, y ≥ 0. (a) 44 at (4, 2) (b) 60 at (4, 2) (c) 62 at (4, 0) (d) 48 at (4, 2) Answer Question 10. Web15 mrt. 2024 · The objective function can be written as: Maximize: x + y Subject to: x + y >= D (where D is the total fixed demand for water) x = 0 (non-negativity constraints) The solution to this linear programming model will give the optimal amounts of water to be drawn from each lake to meet the fixed demand. … palm beach slsc https://smiths-ca.com

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WebMinimize Z = 5x1 + 3x2 subject to the constraints 2x1 + 4x2 ≤ 12 2x1 + 2x2 = 10 5x1 + 2x2 ≥ 10 and x1, x2 ≥ 0 4. Find solution using BigM (penalty) method. Maximize Z = x1 + 2x2 + 3x3 - x4 subject to the constraints x1 + 2x2 + 3x3 = 15 2x1 + x2 + 5x3 = 20 x1 + 2x2 + x3 + x4 = 10 and x1, x2, x3, x4 ≥ 0 5. Web2 mei 2024 · Minimize Z = 3x + 5y such that x + 3y ≥ 3, x + y ≥ 2, x ≥ 0, y ≥ 0 Answer: The feasible region determined by the system of constraints x + 3y ≥ 3, x + y ≥ 2, x ≥ 0, y ≥ 0 is as follows: It can be seen that the feasible region is unbounded. The corner points of the feasible region are A (3, 0), B (3/2, 1/2), and C (0, 2). WebLinear programming is an optimization technique that is used to determine the best outcome are a elongate function. Understand linear programming using dissolve examples. sunday fb scores

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Minimize z 3x+5y subject to constraints

Solved Find the minimum and maximum values of z=2x+4y (if

WebMaximize Z = 3x + 2y, subject to constraints are x+2y≤10, 3x+y≤15 and x, y ≥0. Q. Minimize and maximize Z = 5x + 10y subject to constraints are x + 2y ≤ 120, x + y ≥ … Webgives the equation 3x +3y 7 = 0, and substituting x = y +1 (from the third equation above) gives 6y 4 = 0. We find y = 2 3 and x = 5 3. Thus the function f is minimized with respect to the constraint g = 0 at the point (5 3, 2 3). Exercise (7.4.19). Find the values of x,y,z that maximize h(x,y,z) = 3x +5y+z x2 y2 z2 subject to the constraint g ...

Minimize z 3x+5y subject to constraints

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WebVertex Value of z = 3x + 4 y (0, 2) (0, 8) (3, 0) (8, 0) z = 3(0) + 4(2) = 8 z = 3(0) + 4(8) = 32 z = 3(3) + 4(0) = 9 z = 3(8) + 4(0) = 24 The minimum value is 8 at (0, 2). 11. Maximize z = 3x + 5y Subject to x ≥ 0, y ≥ 0, x + y ≥ 2, 2 x + 3y ≤ 12, 3x + 2 y ≤ 12 Graph the constraints. y x (2.4,2.4) (0,4) (0,2) (2,0) (4,0) 3x + 2y = 12 ... Web30 mrt. 2024 · Example 3 Solve the following problem graphically: Minimise and Maximise Z = 3x + 9y subject to the constraints: x + 3y ≤ 60 x + y ≥ 10 x ≤ y x ≥ 0, y ≥ 0 Maximize …

WebMaximize if possible: (i) Z = 3x + 2y subject to the constraints. Minimise `Z and retain . Math knowledge that gets you There's no need to be scared of math - it's a useful tool ... Max Z 3x +2y Subject to: 3x + 5y s 30 4x + 2y s 28 x, … Web8 sep. 2024 · Minimize z = 30x + 50y . Subject to the constraints, 3x + 5y ≥ 15. 2x + 3y ≤ 18 . x ≥ 0, y ≥ 0 . In the feasible region, the minimum value of Z occurs at (a) a unique …

WebYou are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f (x, y) = x 3 + y 3 − 3x 2 − 9y 2 − 9x. local maximum value (s) = local minimum value (s ...

WebThe graph is unbounded and its corner points are: (0.30), (13,0), (3, 1) The minimum value of z = 5x + 5y subject to the given system of linear inequality constraints is at the …

Web30 mrt. 2024 · Minimize Z = 3x + 5y Subject to x + 3y 3 x + y 2 x 0, y 0 As the region that is feasible is unbounded. Hence, 7 may or may not be minimum value of Z. For this we … sunday feature radio 3WebSolve the following LPP by graphical method Minimize z = 5x1+4x2 Subject to constraints 4x1+ x2 ≥ 40 ; 2x1+3x2 ≥ 90 and x1, x2 > 0 Solution: Since both the decision variables x1 and x2 are non-negative, the solution lies in the first quadrant of the plane. Consider the equations 4x1+x2 = 40 and 2 x1+3 x2 = 90 sunday fast food dealsWeb12 apr. 2024 · Solve graphically , Minimize and maximize z=3x+4y subject to the constraints x+3y≤60,x+y≥10, x≤y . shwetha ub 1.3K views 2 years ago Find the … sunday father\u0027s day brunchWebBrand A contains 3 carrots, lfl potatoes. and 1 turnip. Brand B contains 4 carrots, 5 potatoes. and 2 turnips. If Molly needs 25 carrots. 3U potatoes. and 5 turnips. minimize the amount she spends. . Maximize the function Z = 93: + 5y with respect to the constraints: —:.':+y '5 3 2x+y E 10 21+3y E 14 .1: 3 0 y 2 D ... sunday february 11 2024WebMinimize Z = 3x + 5y, subject to constraints are x + 3y ≥ 3, x+y≥2 and x, y ≥0. Q. Solve the following problem graphically: Minimise and Maximise z =3x+9y Subject to the constraints: x+3y≤60 x+y≥10 x≤y x≥0,y≥0. Q. Minimize Z=−3x+4y, subject to x+2y≤8, 3x+2y≤12, x≥0, y≥0. Q. Solve the following linear programming problems graphically: (i) palm beach slsc gold coastWebWe have to Minimize Z = 13x – 15y subject to the constraints x + y ≤7, 2x – 3y + 6 ≥ 0, x ≥ 0, y ≥ 0. These inequalities are plotted as shown in the following figure. Please log in or … sunday farmers markets hawaiiWeb19 jun. 2024 · Best answer. It is given that. Z = 3x + 5y, subject to the constraints. x + 2y ≤ 2000, x + y ≤ 1500, y ≤ 600, x ≥ 0 and y ≥ 0. Draw the line x + 2y = 2000, x + y = 1500 … palm beach spartan race 2023