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- Max Z = 3X1 + 4X2 Sub to: X1 + X2 ≤ 20 2X1 + 3X2 ≤ 50 And X1, X2 ≥ 0 (SOLVE MANUALLY USING SIMPLEX METHOD PLEASE DON'T USE SHORTCUTS)Problem: Acme Manufacturing produces widgets on an assembly line. The assembly process has five tasks, each with its own processing time: Task Processing Time (Seconds) A 10 B 8 C 12 D 9 E 7 drive_spreadsheetExport to Sheets Acme currently has two workers assigned to the assembly line, and they work simultaneously. The company wants to improve line efficiency and reduce waste. Objective: Balance the assembly line by assigning tasks to each worker in a way that minimizes idle time and maximizes output.Using the attached template answer the following question. (Note that the data from P06_40.xlsx is already in the excel sheet) You are given a group of possible investment projects for your company’s capital. For each project, you are given the NPV the project would add to the firm, as well as the cash outflow required by each project during each year. Given the information in the file P06_40.xlsx, determine the investments that maximize the firm’s NPV. The firm has $25 million available during each of the next five years. All numbers are in millions of dollars.
- A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.To graduate from Basketweavers University with a majorin operations research, a student must complete at least twomath courses, at least two OR courses, and at least twocomputer courses. Some courses can be used to fulfill morethan one requirement: Calculus can fulfill the mathrequirement; operations research, math and OR requirements;data structures, computer and math requirements; businessstatistics, math and OR requirements; computer simulation,OR and computer requirements; introduction to computerprogramming, computer requirement; and forecasting, ORand math requirements.Some courses are prerequisites for others: Calculus is aprerequisite for business statistics; introduction to computerprogramming is a prerequisite for computer simulation andfor data structures; and business statistics is a prerequisitefor forecasting. Formulate an IP that minimizes the numberof courses needed to satisfy the major requirements.Use the simplex method to solve the following LP Max z = 2x1 + 3x2 s.t. x1 + 2x2 <= 6 2x1 + x2 <= 8 END LP Please use tableau like the one in the attached image, thanks
- Although the problems say solve graphically, please solve all problems using the QM for Windows software or solve manually. B.6 The Christina Alvarez Company manufactures two lines of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc, the company has available a total of 25.000 Ib of steel and 6,000 lb of zinc. Each model A gate requires a mixture of 125 Ib of steel and 20 lb of zinc, and each yields a profit of 590. Each model B gate requires 100 1b of steel and 30 ib of zinc and can be sold for a profit of $70. Find by graphical IP the best production mix of yard gates.What is the definition of integer programming?Please complete all work in excel. Use excel to make any necessary calculations and be sure to identify the answer, including units (if necessary). Answers that need formulas must have them within the answer cell. City wants to further develop the model to include the weather conditions of rainy, cloudy, or sunny. Pool Attendance Temperature (°F) Weather Condition 150 89 Sunny 100 82 Rainy 125 81 Cloudy 130 86 Cloudy 155 93 Cloudy 170 98 Sunny 200 99 Sunny 180 87 Sunny 190 88 Sunny 140 83 Sunny 120 82 Cloudy 90 81 Rainy 130 87 Rainy 120 93 Rainy Should you keep weather condition in the model?
- What is Optimization? How many methods are there to calculate it? Explain this? 2- What do we mean by function Objective? What do we mean by constraints? 3- Give three practical examples (physical or engineering) of a target function with a constraintChapter 6. Solve the following Linear Program using the Solver method and answer the questions given below (round to two decimal places): Maximize 12A + 15B s.t. 3A + 7B <= 250 5A + 2B <= 200 B <= 25 A, B >= 0 a. The optimal value of A is 31.03 and the optimal value of B is 22.41. b. The maximized function yields a solution of 708.62. Chapter 7. For the problem you solved in Q1, obtain the Sensitivity Report, and answer the following questions. Remember to round to two digits and you can enter “infinity” for unlimited regions: The range for Variable A is from ????? to ????? The range for Variable B is from ????? to ????? The range for Constraint 1 is from ????? to ????? The range for Constraint 2 is from ????? to ????? The range for Constraint 3 is from ????? to ?????I need explaination and spreadsheet with formulas and step to step interpretation please.....The attached are first two pages of required assisance and below is the rest of instructions please consider all of them:c. Suppose the CEO says, “Projects 3 and 4 must be undertaken but not both.”Describe the constraint.d. Suppose the CEO says, “Projects 4 cannot be undertaken unless projects 1 and 3also are both undertaken.” Describe the constraints. Hint: You may need to add more than one constraint for this part.3. Multi-product Production Planning. Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:Department Product 1 Product 2 Product 3A 1.50 3.00 2.00B 2.00 1.00 2.50C 0.25 0.25 0.25During the next production period, the labor-hours…