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Linear Programming

Linear programing question

A major automobile manufacturer also produces two types of trucks type I and typeII. all the trucks are produced in one plant in the eastern part of the united states. each month the production manager of the plant must detemine how many units of each truck to produce. The type I truck generates a contribution margine of $220 pe

Probabilstic Dynamic Programming

A vendor sells sweatshirts at football games. They are equally likely (0.5,0.5) to sell 200 or 400 sweatshirts per game. Each order placed to the supplier costs $500 plus $5 per quantity ordered. The vendor sells each sweatshirt for $8. The is a holding cost of $2 (inventory costs) for each shirt leftover after each game. The ma

Linear Programming : Corner Point Method

Dr Wu can cure colds with his 3 layer pills. They come in two sizes, regular and king size. Regular size contains 2 grains of aspirin, 5 grains of bicarbonate, and 1 grain of codeine. For king size, it is 1 grain of aspirin, 8 grains of bicarbonate, and 6 grains of codeine. Dr Wu shows that is requires at least 12 grains of aspi

Linear Programming Problem

An office manager needs to buy new filing cabinets. Cabinet A costs $7, and takes up 6 square feet of floor space, and holds 9 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 13 cubic feet. He has only $66 to spend and the office has room for no more than 60 square feet of cabinets. (Find the Objective

Linear Programming: The Simplex Method

Please help with the given problem: A nutritionalist is preparing a supplement mixture to add to a preparation of oatmeal. The nutritionalist has 3 mixtures available that can be combined to give the desired mixture. Each gram of the first mixture contains 1 unit of calcium, 1 unit of iron, and cost 70 cents. Each gram of the

Linear programming-maximze advertising budget

As part of a campaign to promote its annual clearance sale, the Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's advertising budget is $102,000. Morning time costs $3000/minute, afternoon time costs $1000/minute, and everning (prime) time costs $12,000 minute. Becasue of pervious commitme

Linear Programming : Trim and Surplus Waste

International Cellulose Corporation produces paper products. In one of its processes reels of 100 inch wide paper are cut into smaller width reels of the same length. Each week, orders for different width reels are received. This week the company has orders for 30, 50 25, and 90 reels, respectively, of the 60, 48 36 and 24 inc

Linear alegbra and vectors

Use the geometric method of linear programming to maximize the objective function f(x,y)=3x-6y subject to the constraints. x>= 1 x-y<= 3 2x+y>= 6 2x+y<= 8

Operations Research: North-West Corner Method

Please see the attached file for the fully formatted problem. For the transportation problem given by the following tableau, find an initial basic feasible solution by the North-West corner method and then find an optimal solution. [Tableau]

Operations Research: Maximizing Profit

A factory can assemble printers and scanners. The 50 factory workers operate three four hour shifts which keep the factory running for a total of 12 hours a day, 6 days a week. Before the printers and scanners can be assembled, the component parts must be purchased and the maximum value of the stock that can be held for a days a

Operations Research: Simplex Tableau

Use the Simplex Tableau Method to solve the following linear programming problem. Maximise z=5x1 + 3x2 subject to: 4x1 + 2x2 <= 15 4x1 + x2 <= 10 x1 + x2 <=4 and xj >= 0, j =1,2. Use the optimal tableau above to answer the following. i) State the maximum value of z. ii) State the values of all the basic variable

Investment Linear Programming model: Risk Management

Please see attachement for more clear format. The portfolio Manager of Pension planners has been asked to invest $1,000,000 of a large pension fund. The investment research development department has identified six mutual funds with varying investment strategies, resulting in different potential returns and associated risks,

Linear Programming Problem: Maximizing Productivity

The two products that case chemical makes- cs01 and cs02 yield excessive amounts of three different pollutants: a,b,and c. the state government has ordered the company to install and to employ antipollution devices. the following table provides the current daily emissions in kg/1000liters and the maximum of each pollutant allowe

Linear Proramming: Problem with three products and three additives plus a base

Incredible indelible ink company mixes three additives, A1,A2, A3 to a base in different proportions to obtain different colors of ink. Red ink is obtained by mixing A1, A2, and A3 in the ration of 3:1:2, blue ink in the ratio of 2:3:4, and green in the ratio of 1:2:3. After these additives are mixed, an equal amount of base

Operations Research : Investment Problem

Al has $60,000 that he wants to invest now in order to use the accumulation for purchasing a retirement annuity in 5 years. After consulting with his financial adviser, he has been offered four types of fixed-income investments, which we will label as investments A,B,C, D. Investments A and B are available at the beginning of e

Quantative Methods: Linear Programming

Please find the question as an attachment. Also, please provide the answer in the attached Excel sheet. You will have to use the solver. 1. A hospital is trying how many RN's to hire to provide the 24-hour-day coverage it needs on the floor. The hospital is concerned with both costs for wages of RN's hired and level of ca

Working with the Kuhn-Tucker Condition.

Verify that x^=(1,3) is a K_T point of the following problem. Min f(x,y)=(x-1.5)^2+(y-5)^2 st. g1(x,y)=-x+y<=2 g2(x,y)=2x+3y<=11 g3(x,y)=-x<=0 g4(x,y)=-y<=0

Accounting: Objective function and equation

A company has the opportunity to produce 3 products (P1; P2; P3) out of 3 Materials (A1; A2; A3). The estimated margin of the products is: P1= 10$, P2= 6$ and P3= 4$ Please evaluate in which quantity the products have to be produced to show the highest margin possible: Material P1 P2 P3 Available Quantity A1 2 1 6

Electrocomp Corporation: Determining the Corner Point

The Electrocomp Corporation manufactures two electrical products: air conditioner and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of

Linear programming: Maximization

You are a woodworker who makes tables and chairs. Each table requires $80 in materials, 4 hrs of labor and earns $70 profit. Each chair requires $80 in materials, 8 hrs of labor, and earns $120 profit. This week you have $960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit

Simplex Method

Problem: Maximize: P= X1 + 2X2 +X3 Subject to constraints 3x1 + x2 + x3 <= 3 x1 - 10x2 - 4x3 <=20 x1>= 0 x2>=0 x3 >=0

Working with a linear problem and the simplex method.

Formulation for Simplex Method: Variables : F = Full time students P1= Part time attending 3 days P2 = Part time attending 2 days Objective Function : Max Z = 650*F + 460*P1 + 350*P2 Constraints : F + P2<= 50 F + P1<= 50 F,P1,P2 >0

Linear Programming: Simplex Method

How would I turn this real world problem into a linear programming problem? The licensing capacity of a preschool is 50, which is the constraint. Initially all children attended full time. The changes incorporated were the creation of three different enrollment positions for children to attend our school. One is the normal f

Linear programming : Finding the minimum machine cost

Two machines produce the same item. Machine A can produce 15 items per/hr and Machine B can produce 10/hr. At least 420 of the items must be produced each 40-hr. week, but the machines cannot be operated at the same time. If it costs $50 per hour to operate A and $30 per hour to operate B, determine how many hours per week to o