Minimize z 3x+5y subject to constraints
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? 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 …
Minimize z 3x+5y subject to constraints
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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. WebMinimise Z=3x+2y subject to constraints: x+y≥8 3x+5y≤15 x≥0,y≥0 Medium Solution Verified by Toppr Given:z=3x+2y subject to constraints: x+y≥8 3x+5y≤15 x≥0y≥0 ( 1st …
Web4 sep. 2024 · Solution Verified by Toppr The maximize: z = 3x+5y Given subjective to, x+4y ≤ 24 3x+y ≤ 21 x+y ≤ 9, x ≥ 0,y ≥ 0 Consider, x+4y =24 ..........(1) 3x+y =21 ..........(2) x+y … Web2 = 10 4x 5y. Therefore y+ s 1 s 2 0 is equivalent to y+ (3 x 2y) (10 4x 5y) 0 =)3x+ 4y 7: If we wanted to draw a pretty picture, we’d use the last of these inequalities. We’d get maximize x;y2Z 2x+ 3y subject to x+ 2y 3 4x+ 5y 10 3x+ 4y 7 x;y 0 The rst form of the cut is also useful: if we put it in equational form as y+ s 1 s 2 + s 3 = 0 ...
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. … 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 ...
raytheon gmWeb15 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. … raytheon gmr-1000 multi-domain data routerWebWe 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 … simply history.xyzWebgives 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 ... raytheon goalsWebA: Given matrix A=1524334251. We need to find row space of A and column space of A. Note: Let A be…. Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…. A: Click to see the answer. Q: Show that (u, v) = (5u+5, uv, 9u + v) parametrizes the plane 2x - y -z = 10. simply hiring jobsWebWe have to maximise and minimise the following function x 2 + y 2 with the constraint that 5 x 3 + 6 x y + 5 y 2 − 8 = 0. Let F ( x, y) = x 2 + y 2 + λ ( 5 x 2 + 6 x y + 5 y 2 − 8) δ F ( x, y) δ x = 2 x + λ ( 10 x + 6 y) and δ F ( x, y) δ y = 2 y + λ ( 6 x + 10 y) Multiplying the 2 equations by y,x respectively and subtracting I get simplyhivisclothing.co.ukWeb22 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. raytheon goalkeeper