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Linear Programming

Linear Programming

4) ABC Corporation, produces two types of drinks. For each of them should be made by 3 processes, which are: Distilling, Bottling and Packing. In the drink X is used in each process the next time: 6, 3 and 4 hours respectively. As for the drink and is used in the above processes 6, 6 and 2 hours respectively. The distillation

Linear Programming

3)ABC Corporation, produces two types of drinks. For each of them should be made by 3 processes, which are: Distilling, Bottling and Packing. In the drink X is used in each process the next time: 6, 3 and 4 hours respectively. As for the drink and is used in the above processes 6, 6 and 2 hours respectively. The distillation pl

Linear Programming

2) ABC Corporation, produces two types of drinks. For each of them should be made by 3 processes, which are: Distilling, Bottling and Packing. In the drink X is used in each process the next time: 6, 3 and 4 hours respectively. As for the drink and is used in the above processes 6, 6 and 2 hours respectively. The distillation p

Economics example of linear programming optimization.

Let's say you own a company that makes bolts that are used on the International Space Station! These bolts have very specific requirements but two of the most important requirements are strength and heat resistance. NASA says that you must have a bolt that has the strength of at least X and a heat resistance of at least Y.

Linear Programming

Problem is attached. Please solve in linear programming model in Excel. Answer questions A & B and show work on how you came to solution. Thank you.

optimal solution for linear programs

Solve graphically for the optimal solution to the following linear program: 1. MIN 16X1 + 12X2 s.t. 8X1 + 4X2 <_ 36 X1 + X2 <_ 7 3X1 + 12X2 >_ 24 X1 + 5X2 >_ 20 X1, X2 >_ 0 2. MIN 18X1 + 12X2 s.t. 8X1 + 4X2 <_ 36 X1 + X2 <_ 7 3X1 + 1

Forecasting

Corporate Triple A Bond interest rates for 12 consecutive months are... a. Develop three- and four-month averages for this time series. Which moving average provides the better forecasts? Explain. b. What is the moving average forecast for the next month? The following data represent 15 quarters of manufacturing capacity ut

Linear Programming

There are two questions: The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. The company operates one "8 hour" shift per day. Therefore, the production time is 480 minutes per day. During the production process, one of the main ingredients, syrup

Coefficients of Frictions Between Blocks

I need assistance with how to solve the following problems. I have the answers. I need help with the steps required to solve. 1. ( a ) 33.6 N. ( b ) aA = 4.76 m/s^ 2 , aB = 3.08 m/s ^2 , aC = 1.401 m/s ^2 2. ( a ) 0.1904, motion impending downward. ( b ) 0.349, motion impending upward. 1. The coefficients of friction

Linear Programming - Transportation Problem -Use QM to solve

Consider the following transportation problem: 1 2 Supply 1 5 6 100 2 4 2 200 3 3 6 150 4 9 7 50 Demand 250 250 Formulate the objective function Formulate the Supply side constraints Formulate the Demand side constraints What is the optimal solution? Use QM to solve.

Value of the slack variable

Max Z = $0.30x + $0.90y Subject to : 2x + 3.2y is less than or equal to 160 4x + 2y is less than or equal to 240 y is less than or equal to 40 x, y is greater than or equal to 0 Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constrain

Consider the following minimization problem

Given the following linear programming problem: Min Z = 2x + 8y Subject to (1) 8x + 4y is greater than or equal to 64 (2) 2x + 4y is greater than or equal to 32 (3) y is greater than or equal to 2 What is the minimal solution?

Minimax Regret Decision Criteria

A manager has developed a payoff table that indicates the profits associated with a set of alternatives under 2 possible states of nature: Alternative Situation 1 Situation 2 1 10 2 2 -2 8 3 8 5 If the manager uses minimax regret as the decision criterion, which of the alternatives would be indicated

Break-even manufacturing company

EKA manufacturing company produces a part for the aerospace industry. The unit production cost of this part is $3. The fixed monthly cost is $3000. Next month's demand for this part is 200 units. How much should the company charge for each unit of this part to break-even?

Use QM for windows

3. Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer - Yodel, Shotz, and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follows: Brand Cost/gallon Yodel

Linear Programming: Drug Company Analysis

A drug company produces a drug from two ingredients. Each ingredient contains the same three antibiotics, in different proportions. One gram of ingredient 1 contributes 3 units, and 1 gram of ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredi

Linear Programming to Maximize Profits

Problem 1 The University of North Central Oregon is determining how many summer classes to offer. School rules mandate that at least 40 undergraduate and 25 graduate classes be offered each term. An instructor earns $2500 per undergraduate class and $3500 for each graduate class. Additionally, the number of undergraduate classe

Linear Programming

The Skimmer Boat Company manufactures the Water Skimmer bass fishing boat. The company purchased the engines it installs in its boats from Mar-gine Company, which specialized in marine engines. Skimmer has the following production schedule for April, May, June, and July: Month Production April 60 May

Linear Programming, Model Formulation and Graphical Solution

Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relish - chow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than does the chow-chow. Both relishes include onions, and negligible amounts of bell peppers and spic

Linear Programming: Oak Works Materials and Labor

The Oak Works is a family-owned business that makes handcrafted dining room tables and chairs. They obtain the oak from a local tree farm, which ships them 2,500 pounds of oak each month. Each table uses 50 pounds of oak while each chair uses 25 pounds of oak. The family builds all the furniture itself and has 48 hours of labor

Mathematical modeling

Work-force planning All-Basa, Inc., produces two models of bookcases, for which relevant data are summarized as follows: Bookcase 1 - Selling Price $15 - Labor Required 0.75 hour/unit - Bottleneck machine time required 1.5 hours/unit - Raw Material Required 2 bf/unit Bookcase 2 - Selling Price $8 - Labor Required

Solve problems using QM for windows

For the following problem, solve the linear programming model by using the computer. You must use QM for Windows to solve this problem. Please include the original problem plus results screen in the Word document you create. Follow the format of the examples that were posted in the Doc Sharing tab. Include the model formulatio

Non-linear programming problem

URE Industries gets a productivity of f(x, y) = 2*x^2*y + 3*x*y^2 + 2*y^3 from x units of labor and y units of capital. If labor costs $50 per unit and capital costs $100 per unit, how many units of labor and capital should URE use, given that its budget is 150,000$? a) Assume that x and y can be positive or negative (URE

TWO QUESTIONS ON LINEAR PROGRAMMING

The problems/questions below must be answered by using these steps: a. Formulate linear program b. Calculate constraint intercepts c. Graph Lines d. Use test values to find feasible region e. Identify corner points f. Substitute corner points into objective function g. Identify the solution ______________________

Graphing

I need help with the following problems. As much detail you can give me to help me understand how to work the problems would be great. 1. Henry is raising money for the homeless animals, and discovers each shelter requires 2 hours of volunteer service and 1 hr of contacting possible owners, which each homeless shelter need

Determine Optimal Solution and Objective Funtion Value

Problem 1 consider the following problem: Min x + 2y s.t. x+4y<=21 2x+y>=7 3x+111.5y<=21 x,y >= 0 Using the graphical method, determine the optimal solution and the optimal objective function value. You must provide a graph indicating the feasible region, an objective function line, the optimal direction and the opti

Mechanics and velocity of bouncing ball

If possible, the program needs to work without any added input. A ball is dropped with a velocity v0 at an angle a with the vertical onto the top step of a flight of stairs consisting of 8 steps. The ball rebounds and bounces down the steps as shown. Each time the ball bounces, at points A, B, C, . . . , the horizontal compon

Linear Programming: Roylon Corporation

Rylon Corporation manufactures Brute and Chanelle perfumes. Raw material costs $3.00 per pound to process. Processing a pound of raw material takes one hour of laboratory time, and yields 3 ounces of regular Brute and 4 ounces Regular Chanelle perfume. Regular Brute can be sold for $7/ounces, and Regular Chanelle can be sold for