WebObjective Function: Minimize C= 250x+30y Constraints: 3x+6y≥23 9x+1y≥28 x≥0 y≥0 2. x = amount invested in project A y = amount invested in project B ... 20x+20y+25z≤4200 25x+15y+25z≤4800 25x+45y+45z≤6600 x≥25 x,y,z≥0 5. x = number of chests ordered y = number of desks ordered WebThe values of the objective function z = 10x + 25y at these vertices are Z (O) =10 (0)+ 25 (0)= 0 Z (A) =10 (3) + 25 (0) = 30 Z (P) =10 (3) + 25 (2) = 30 + 50 = 80 Z (Q) =10 (2) + 25 (3) = 20 + 75 = 95 Z (D) =10 (0) + 25 (3) =75 Z has max imumvalue 95, when x = 2 and y = 3. Concept: Graphical Method of Solving Linear Programming Problems
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WebChapter 12 Systems of Equations and Inequalities 1312 13. Minimize z = 5 x + 4 y Subject to x ≥ 0, y ≥ 0, x + y ≥ 2, 2 x + 3y ≤ 12, 3x + y ≤ 12 WebThis is the point B, the intersection of 10x +30y =150 and 10x +20y =120 Solving these equations gives 10y =30, i.e. y =3 and x =6. So maximum profit occurs at the point (6, 3) and the profit is given by P =5×6 +12 ×3 =66. Example A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. small barber chair
Linear Programming Assignment Flashcards Quizlet
Web23 mrt. 2024 · Example 1 Solve the following linear programming problem graphically: Maximise Z = 4x + y subject to the constraints: x + y ≤ 50 3x + y ≤ 90 x ≥ 0, y ≥ 0 Maximize Z = 4x + y Subject to x + y ≤ 50 3x + y ≤ 90 x ≥ 0, y ≥ 0 ∴ Z is maximum at (30, 0) WebMinimize and maximize P = 25x... Expert Help. Study Resources. Log in Join. Ryerson University. QMS. QMS 110. Solve the linear programming ... Extreme Point Coordinates … Web28 okt. 2024 · This problem is posed as: max min (x1,x2,x3) s.t. x1 + x2 + x3 = 15. The maximin problem is likewise transformed with an additional variable Z. However, Z is … small barberry bushes