**Chapter 6: Solving a Linear Program Using the Solver Method**In this exercise, you will solve a linear programming problem using the Solver method in Excel or another similar tool. Answer the questions below with results rounded to two decimal places.**Objective:**Maximize $12A + 15B$**Subject to the constraints:**- $3A + 7B \leq 250$- $5A + 2B \leq 200$- $B \leq 25$- $A, B \geq 0$**Questions:**a. What are the optimal values for $A$ and $B$?b. What is the value of the maximized function?---In the setup above, you are tasked to evaluate the feasible region determined by the constraints and find the values of $A$ and $B$ that maximize the objective function $12A + 15B$. Use Solver to compute these values and ensure your result aligns with the constraints and maximizes the output.

Excel setup : Solver constraints:Solving, we get : (a) The optimal value of A is 31.03 and optimal value of B is 22.41. (b) The maximized function yields a solution of 708.62.

Answered: Chapter 6. Solve the following Linear…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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ons Problem 13-15 Algo (Solving Integer Optimization Problems with Excel Solver) The Northside Bank working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank open from 9:00 A.M. to 7:00 P.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. Time Time 9:00 a.m.-10:00 a.m. 2:00 p.m.-3:00 p.m. 10:00 a.m.-11:00 a.m. 3:00 p.m.-4:00p.m. 11:00 a.m.-Noon 4:00 p.m.-5:00p.m. Noon-1:00 p.m. 5:00 p.m.-6:00 p.m. 1:00 p.m.-2:00 p.m. 6:00 p.m.-7:00p.m. Each full-time employee starts on the hour and works a 4-hour shift, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits, full-time employees cost the bank $15 per hour ($105 a day), and part-time employees cost…
The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1750 B 500 C 1100 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Machine Capacity (Units) 1 1550 2 1450 3 1150 Product Machine A B C 1 $0.80 $1.30 $0.70 2 $1.40 $1.30 $1.50 3 $0.80 $0.80 $1.20 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". The linear programming formulation and optimal solution are shown. Let xij = Units of product j on machine i.…
Simplex Method (Use Two-Phase Method by H. Taha)
L.P. Model: Maximize Z= 8X+2Y Subject to: 1X+2Y≤6 (C1) 5X+1Y≤20 (C2) X,Y≥0 On the graph on right, the constraints C1 and C2 have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places).
2. One of the recently founded restaurants has decided to offer only diet meals including gluten free and vegan meals to its customer. In its menu prepared by a dietitian, there are wide variety of diet meals together with their corresponding calories, carbohydrates and proteins (in grams). To compete in the highly competitive environment, dietitian and food engineer also works at the restaurant. For a regular diet lunch meal, one can take a dish containing at most 725 calories, 6 grams of carbohydrates and at least 23 grams of protein. Below, there are three meal options with their contents and prices. For a customer willing to pay the maximum amount of $50, formulate the model using Goal Programming considering the priority levels. Priority levels Meal Option 1 $ 27 Meal Option 2 Meal Option 3 Cost Calories (in grams) $ 25 $22 P1 420 300 235 P2 P3 Carbohydrates ( in grams) Protein (in grams) 4 3 1 11 8 12 P4
Consider the following problem. Maximize Subject to Solving Linear Programming Problems: Graphical and The Simp Solution 2x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 6 X1, X₂ ≥ 0 Z = 3x₁ + 2x₂ a. Use the graphical method to solve this problem. b. Use the tabular simplex method to solve this problem. a. Graphical Method
The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms that Bayside uses for exhibitions is shown in the figure below; the openings between the rooms are numbered 1 through 13. Entrance Room 1 Room 2 Room 3 Room Room 4 4 7 7 Room 8 5 10 11 12 Room 13 Room 6 8
Using Excel Solve the following LP Maximize $4x + $5y Subject to 2x + 3y ≤ 20 (labor, in hours) 6x + 6y ≤ 36 (materials, in pounds) 4x + 4y ≤ 40 (storage, in square feet) x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if you acquire 2 additional pounds of material? c) What is the optimal solution and objective function value if you acquire 1.5 additional hours of labor?
Solve Using Excel solver in Linear Optimization Problems. Must present the excel solver output including (answer report sensitivity report and limits report) 1. A calculator company produces two models of calculators at two different factories. Factory A can produce 130 scientific calculators and 25 graphing calculators per day. Factory B can produce 70 scientific and 90 graphing calculators per day. It cost $1200 per day to operate Factory A and $900 per day to operate Factory B. If the company needs to produce 460 scientific calculators and 340 graphing calculators for a big order, find the minimum cost to produce the order.(please help)
Optimal solution 4T+3C=240 2T+1C=100 →T=30, C-40 Can you please explain to me the solution and way of how he did get the exact coordinate points in the graph? I know there is a formula or way to calculate since it is hard to find out the exact point when manually plotting a graph
Please do not give solution in image formate thanku.

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