Solve the linear programming problem by the simplex method. Maximize 40x+ 30y subject to the following constraints. ys 8 - 2x + 3y 2 15 x 20, y 2 0 The maximum value of M is, and y =. which is attained for x =
Q: Consider the following linear programming problem: Maximize 12X + 10Y Subject to:…
A: Below is the solution:-
Q: Here is a problem to challenge your intuition. In the original Grand Prix example, reduce the…
A: In the original transportation 1 example, change the capacity of plant 1 to 451 units, capacity of…
Q: A farmer has 5 hectares of land to plant with rice and corn. He needs to decide how many hectares of…
A: THE ANSWER IS AS BELOW:
Q: . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 kubject to 3x +…
A: A way of optimizing operations with some constraints is linear programming. Linear programming's…
Q: Solve the following linear programming problem using the graphical method and answer the following…
A: Note: Since you have posted a question with multiple subparts, we will solve the first three…
Q: *Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁+4X,…
A:
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A:
Q: Malloy Milling grinds calcined alumina to a standard granular size. The mill produces two different…
A:
Q: 4. Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: An optimal solution is an achievable solution where the target work arrives at its greatest (or…
Q: Solve the following Linear programming problem using the simplex method:Maximize Z = 10X1 + 15X2 +…
A: Given MAX Z = 5x1 + 10x2 + 8x3subject to3x1 + 5x2 + 2x3 <= 604x1 + 4x2 + 4x3 <= 72and x1,x2,x3…
Q: Solve the following problems as a primal using simplex method and then after finding its dual.…
A: Given
Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…
A: The initial tableau can be written as follows.
Q: The optimal value of the objective function using graphical procedures is found by. Select one: O a…
A: Explanation : The feasible solution region on the graph is one which is satisfied by all…
Q: The LP problem is given by, Maximize profit 8X1+ 5X 2 Subject to: X1+X2s 10 X1s6 X1 0 X220 Use…
A: Linear programming is a technique to reach the best outcome like maximum profit or lowest cost whose…
Q: Find a solution using the Simplex method (BigM method) MIN Z = 5x1 + 3x2 subject to 3x1 + x2 = 3 4x1…
A: Given LP-Min Z = 5x1 + 3x2Subject to-3x1 + x2 = 34x1 + 3x2 ≥ 6x1 + 2x2 ≤ 4x1, x2≥0
Q: subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: according to u answering A given,
Q: Consider the following linear programming problem: MIN Z = 3x1 + 2x2 Subject to: 2x1 + 3x2 ≥ 12 5x1…
A: The model in MS-Excel (R)
Q: (b) Use the simplex method to solve the following LP problem. Maximize, Z = 3x1 +4x2 Subject to 2x1…
A: A small introduction about the simplex method: The simplex approach uses slack variables,…
Q: 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be…
A: Below is the solution:-
Q: Find the optimal solution for the following problem. Minimize C = 16x + 15y subject to 6x + 12y 2 19…
A:
Q: Solve the following problem with Excel Solver:Maximize Z = 3X + Y.1 2X + 14Y ≤ 85 3 X + 2Y ≤ 18Y≤ 4
A: Formula:
Q: Solve using the duality linear programming method of the following problem: Object Function: F =…
A:
Q: You are given the tableau shown in Table 74 for a maximization problem. Give conditions on the…
A:
Q: Find the complete optimal solution to this linear programming problem. ObjectiveFunction : Minimize…
A:
Q: Suppose a linear program graph results in a number line for the binding constraints as follows: -3…
A: Give, Objective function- Max 5X1 + 10X2
Q: Consider the following set of constraints: 48Y >= 7296; 0.25 X + 12Y >= 1824, and X + Y <= 152. Pick…
A:
Q: Find the objective function and the constraints, and then solve the problem by using the Simplex…
A: Let; x1 be the number of shirts produced x2 be the number of jackets produced
Q: Solve the following problem using graphical linear programming.Minimize Z = 8x1 + 12x2 Subject to…
A: The feasible region for the problem moves away from the encompassing the points shown above.…
Q: x1 + x2 ≤30 300 ≤5x1 + 6x2 x1 ≥0, x2 ≥0. From the given constraint above, provide the following a.…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be…
A: Below is the solution:-
Q: 4. Solve the problem given with the constrains and objective function. Maximize profit 30X1 + 40X2…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Consider the following integer linear programming problem. Маx Z - 4x +3у Subject to: 4x + 6y < 35…
A:
Q: Maximize C = 13x + 3y subject to 12x + 14y ≤ 21 15x + 20y ≤ 37 and x ≥ 0, y ≥ 0. What is the…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Find the Given details below: Objective Function: Max C = 5 x + 11 y…
Q: Consider the following problem. Max ZC₁x₁ + x₂ Subject to: x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 10 x₁, x₂ ≥ 0. Use…
A: Consider the constraint 1 as x1+x2=6 If x1 = 0, then x2 = 6 The point will be (0,6). If x2 = 0,…
Q: Consider the following linear programming problem: Maximize 4X + 10Y Subject to:…
A: THE ANSWER IS AS BELOW:
Q: Consider the following LP model in standard form, with a row for the objective function Z. a) Put it…
A: Tableau FormThe variables x3, x4 and x5 are having negative coefficients and hence they will get a…
Q: . Solve each of these problems by computer and obtain the optimal values of the decision…
A: Excel model and formula: Solver input: Answer:
Q: Consider the following set of constraints: ху + 2х2 + 2х; + 4x < 40 2x1 X2 + x3 + 2x4 < 8 4x1 — 2х2…
A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…
Q: Graph the following systems of linear Inequalities, shade the solution/feasible region and indicate…
A: Given Information: y – 3x < 3 3y ≥ x+3 or x-3y ≤ -3 To show them graphically, first the linear…
Q: 2. Solve the following problem using graphical method. Show all the feasible solutions and obtain…
A: Given data, Min Z = 2x1 + 9x2 Subject to constraints 2x1 + 2x2≥15 0x1 +4x2 ≤45 0x2 + 3x2 ≤80…
Q: A linear programming problem is given as follows: Transform the problem into standard Solve the…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: subject to X1 – 2x, + x, 2 20 2x, + 4x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…
A:
Q: Use the simplex method to find the optimal solutions of the following LP Problem. Max. Z = 7x1 + 5x2…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Find the values of x1 and x2 where the following two constraints intersect. (Negative values should…
A: The detailed solution of the given question is in Step 2
Q: In minimization problem we reashed optimal solution when all value in Cj-Zj row less than or equal…
A: The minimization problem is a linear programming (LP) problem. It can be solved efficiently using…
Q: Find the values of x1 and x2 where the following two constraints intersect. (Negative values should…
A: 12X1 + 11X2 = 56 ----------- Equation 1 3X1 + 5X2 = 15 --------------- Equation 2 Multiply…
Q: Solve the following linear program using the full tableau implementation of the Simplex Method. max…
A: Here, The LP formulation is given below: Max Z=60*X1+30*X2+20*X3 Constraints are stated below:…
Q: Minimize Z = -5x1 + 4r2 subject to 213 x2 + 4r3 < 3 2x2 + 6x3 < 10 (1) (2) I1 2 0, x2 2 0, x3 2 0.…
A: GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 <= 33x1 - 2x2 + 6x3 <= 10and x1,x2,x3…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
- If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 8x + 9y + 3z subject to 2x + 7y + 8z ≤ 100 6x + 3y + z ≤ 160 3x + 4y + 9z ≤ 10 .4. What is the optimized Z value for this following LP problem? Minimize Z= 3x + 10y, subject to (1) 2x + 4y ≤ 12 and (2) 5x + 2y ≥ 10 and (3) x, y ≥ 0. Answer: ______________
- Consider the linear program max 4y_{1} + 5y_{2} s.t. - y_{1} + y_{2} <= 4 y_{1} - y_{2} <= 10 y_{1}, y_{2} >= 0 (a) Show graphically that the model is unbounded.Please no written by hand and no emage Kindly create a spreadsheet from the problem description. Find the optimal solution using Excel Solver (Please show working with steps on a spreadsheet) : The Heinrich Company manufactures two types of plastic hangerracks (Foldaways and Straightaways) especially suited for mountingnear clothes dryers. Because permanent press clothing must be hungon hangers immediately after removal from the dryer, these items havebeen especially popular. However, there is some concern that thePreppie movement (popularized by its own handbook) will extinguishpolyester clothing; Heinrich is terribly interested in doing the best withthe resources it has while its products are still in demand. The firsttype of hanger rack, the Foldaway, requires 10 ounces of plasticmaterial and 0.3 hours of labor. Plastic costs Heinrich 10 cents anounce; labor costs Heinrich $20 per hour. The second type of hangerrack, the Straightaway, requires 15 ounces of plastic and 0.175…Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700
- a. Maximize Z = 6X1 + 18X2+20X3 (Don't use excel shortcut solve manually by Simplex LPP method)Sub toX1 + X2 +X3 = 6010X1 +15X2 +20X3 = 9002X1 + 3X2 +3X3≤100And X1, X2, X3 >=0Use two phase method for solving Maximize: Z = 4X1 + 3X2 + 9X3 Subject to: 2X1 + 4X2 + 6X3 ≥ 15 6X1 + X2 + 6X3 ≥ 12 X1, X2, X3 ≥ 0Chemco produces three products: 1, 2, and 3. Eachpound of raw material costs $25. It undergoes processingand yields 3 oz of product 1 and 1 oz of product 2. It costs$1 and takes 2 hours of labor to process each pound of rawmaterial. Each ounce of product 1 can be used in one ofthree ways.It can be sold for $10/oz.It can be processed into 1 oz of product 2. This requires 2 hours of labor and costs $1.It can be processed into 1 oz of product 3. This requires 3 hours of labor and costs $2.Each ounce of product 2 can be used in one of two ways.It can be sold for $20/oz.It can be processed into 1 oz of product 3. This requires 1 hour of labor and costs $6.Product 3 is sold for $30/oz. The maximum number ofounces of each product that can be sold is given in Table 23.A maximum of 25,000 hours of labor are available.Determine how Chemco can maximize profit. TAB LE 23Product Oz1 5,0002 5,0003 3,000
- 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=Can you show how to put it in Excel? XYZ store sells regular and premium nut mixes. Premium mix contains three quarters pound of cashews and one quarter of peanuts, and the regular mix has half pound of cashews and half pound peanuts per bag. The shop has 200 pounds of cashews and 300 pounds of peanuts to work with. Cashews cost $1.50 per pound, and peanuts cost 60 cents per pound. Premium mix will sell for $2.90 per pound, and the standard mix will sell for $2.55 per pound. The owner esimtes that no more than 200 bags of one types can be sold. What is the best combinations of products that maximizes profits? Make sure to create a feasible solution with countable number of products (no partials)XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?