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- Please answer the following in an organized way and showing steps. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements and available resources for each lot of pens are given in the following table: -Fliptop Model -Tiptop Model -Available Plastic 3 4 36 Ink Assembly 5 4 40 Molding Time 5 2 30 Use Excel's Solver and run a sensitivity report to answer the following questions: a. Over which range can the objective function coefficient for Fliptop Models change without affecting the original optimal solution? What is this range called? b. What is the shadow price (dual price) for the plastic constraint and how would you interpret it? c. What is the shadow price (dual price) for the Molding Time constraint. Does the value make sense? Over which range is the shadow price valid? What is this range called?3. Please solve the sub parts a,b,c max in 30 minutes and no reject thank u A. What is the average profit earned by each trader?B. Performance (SMEs) is said to be good if a minimum of 15% of all existing (SMEs) are able to generate a profit of more than IDR 300 million, - . Have these performance (SMEs) met the requirements well? TellC. What is the percentage of traders who earn the most IDR 300 million,-A city's transit authority serves 180,000 commuters daily when the fare is $1.70. Market research has determined that every penny decrease in the fare will result in 1,200 new riders. What fare will maximize revenue?
- Solve the following LP model. a. Develop a spreadsheet model and find the optimal solution using Excel Solver.b. What is the optimal solution? What is the optimal objective function value? Maximize Z = 5x1 + 8x2subject to 3x1 + 5x2 <= 60 2x1 + 5x2 <= 55 12x1 + x2 <= 120 x1 , x2 >= 0Determine the optimal value for the minimization of the followingSolve the following LP d) What is the optimal solution and objective function value if the profit for pine tables increases by $20? e) What is the optimal solution and objective function value if the company is required to make at least 20 pine chairs? f) What is the optimal solution and objective function value if the company is required to make no more than 55 cherry chairs?
- Solve the following LP model. a. Develop a spreadsheet model and find the optimal solution using Excel Solver.b. What is the optimal solution? What is the optimal objective function value? Maximize P = 2x1 + 9x2Subject to 2x1 + 3x2 <= 30 2x1 + x2 <= 16 x1 - x2 <= 0 x1 ≥ 0, x2 ≥ 0The municipal transit authority serves 150,000 commuters daily when the fare is $1.80. Market research has determined that every penny decrease in the fare will result in 1,000 new riders. What will maximize the revenue?Q2. What is the optimal solution and what is the value of the objective function? Show the relevant portion of the Solver’s output. Fully interpret the results.
- A study published in Social Science Medicine, “Production Functions for General Hospitals,” estimated the following general hospital production function: Q = 5*Staff.34*Beds.64*Drugs.04*Specialists.02, where Q is a measure used by the authors for patient care. Hospital Management has set a target of Q = 50. Suppose input prices are Pstaff = 12, Pbeds = 5, Pdrugs = 15, Pspecialists = 30. Use Excel Solver or otherwise to find the following: How many Staff and Specialists should Hospital Management employ to produce Q = 100 and minimize cost of production for that output? A. 8.293; .195. B. 5.59; .082. C. 9.654; 5.672. D. .20.453; 2.136. E. 18.751; 3.468Answer the following true or false.b. The optimal lot size for a Type 1 service objective of X percent is always lessthan the optimal lot size for a Type 2 service objective of X percent for the sameitem.Please help with iv v and vi with a step by step process on how we get the optimal tableau