Formulate the following problem using the following steps. a. Define the decision variables. b. Specify the...

Formulate the following problem using the following steps.

a. Define the decision variables.

b. Specify the objective function.

c. Specify the constraints and simplify them so that the left hand side of each constraint only contains terms involving the decision variables.

ChemLabs uses raw materials I and II to produce two domestic cleaning solutions A and B. The daily availabilities of raw materials I and II are 150 and 145 units respectively. One unit of solution A consumes .5 unit of raw material I and .6 unit of raw material II. One unit of solution uses .5 unit of raw material I and .4 unit of raw material II. The profits per unit of solutions A and B are $8 and $10 respectively. The daily demand for solution A lies between 30 and 150 units, and that for solution B between 40 and 200 units. Formulate and solve graphically the optimal daily production amounts of A and B

Solutions

Expert Solution

Colby Messinger answered 7 months ago

Next > < Previous

Related Solutions

perform each of the following steps: a) Read the problem statement. b) Formulate the algorithm using...

perform each of the following steps: a) Read the problem statement. b) Formulate the algorithm using pseudocode and top-down, stepwise refinement. c) Define the algorithm in JavaScript. d) Test, debug and execute the JavaScript. e) Process three complete sets of data. Drivers are concerned with the mileage obtained by their automobiles. One driver has kept track of several tankfuls of gasoline by recording the number of miles driven and the number of gallons used for each tankful. Develop a script...

Part a (worth 60 pts): Formulate a linear programming model (identify and define decision variables, objective...

Part a (worth 60 pts): Formulate a linear programming model (identify and define decision variables, objective function and constraints) that can be used to determine the amount (in pounds) of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. For “Part a” you do NOT need to solve this problem using Excel, you just need to do the LP formulation in the standard mathematical format. Part b (bonus worth 20 pts): Solve the LP problem that...

Define and discuss the following decision-making steps 1. Define the problem. 2. Identify the alternatives. 3....

Define and discuss the following decision-making steps 1. Define the problem. 2. Identify the alternatives. 3. Determine the criteria. 4. Evaluate the alternatives. 5. Choose an alternative.

Unit 5 : PROBLEM SOLVING AND DECISION MAKING 1- Define: a. Problem. b. Decision making. c....

Unit 5 : PROBLEM SOLVING AND DECISION MAKING 1- Define: a. Problem. b. Decision making. c. Scientific decision making. d. Complexity in scientific decision making. e. Information. f. A management information system (MIS). g. Creativity. 2- Describe the PDCA cycle as model to solve problem.(Fig 1 294). 3- Describe the Toyota method for problem solving.(Fig 3-296). 4- Define the decision-making model.(fig 4-299) 5- What is the problem caused by information overload? 6- What is the Creative Process? and How to...

solve the following LP. Formulate and algebraically solve the problem. Show all steps. what is the...

solve the following LP. Formulate and algebraically solve the problem. Show all steps. what is the new optimal z value max z=65x1+35x2+20x3 8x1+6x2+x3<=48 4x1+2x2+1.5x3<=20 2x1+1x2+0.5x3<=8 x2<=5 x1,x2,x3>=0 interpret the meaning of the shadow prices

Formulate the situation as a linear programming problem by identifying the variables, the objective function, and...

Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraints. Be sure to state clearly the meaning of each variable. Determine whether a solution exists, and if it does, find it. State your final answer in terms of the original question. A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $100 of veterinary care per year, and each llama needs 5 acres...

Solve the LP problem using graphical method. Determine the optimal values of the decision variables and...

Solve the LP problem using graphical method. Determine the optimal values of the decision variables and compute the objective function. Maximize Z = 2A + 10B Subject to 10A + 4B ≥ 40 A + 6B ≥ 24 A + 2B ≤ 14 A, B ≥ 0 with soln pls thank you!

The Six basic steps in decision making: 1-Define the Problem 2- Determine the Objective 3- Explore...

The Six basic steps in decision making: 1-Define the Problem 2- Determine the Objective 3- Explore the Alternatives 4- Predict the Consequences 5- Make a Choice 6- Perform Sensitivity Analysis Write 300 to 400 words on “Determine the Objective.” Describe your own motives and what your short or long term plans are (please explain short term and long term plans separately) after completing your MBA? Knowing you “can’t always get what you want” what can you get? What can you...

The six basic steps in decision making: 1-Define the Problem 2- Determine the Objective 3- Explore...

The six basic steps in decision making: 1-Define the Problem 2- Determine the Objective 3- Explore the Alternatives 4- Predict the Consequences 5- Make a Choice 6- Perform Sensitivity Analysis Write 3 to 4 page analyzing problem at work can be used in the final paper, the purpose of this paper is to utilize Step One of the Six Step Decision Making Model and identify a problem. The First assignment is just an identification of a problem, explain the problem...

create a supply & demand problem, that can be solved through defined decision variables using linear...

create a supply & demand problem, that can be solved through defined decision variables using linear programming & operations research -- simply provide a [interesting] problem to solve. Please make it challenging.

Subjects