An investor has $60,000 to invest in a CD and mutual fund. How much should be invested in CD's, and how much in the mutual fund to maximize return? This is a linear programming problem on investing. For the following linear programing problem, define variables, write the objective function, and all constraints. Then solve t
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,
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
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
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
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
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
Use graphical methods to solve the linear programming problem (attached)
A manufacturer of refrigerators must ship at least 100 refrigerators to its two West Coast warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 25 refrigerators already, and warehouse B has 20 on hand. It costs $12 to ship a refrigerator to warehouse A and $10 to ship one to warehouse B. Union r
A company has the opportunity to produce 3 products (P1; P2; P3) out of 3 Materials (A1; A2; A3). The estimated margin of the products is: P1= 10$, 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
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
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 2 hours o
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
Problem: Maximize: P= X1 + 2X2 +X3 Subject to constraints 3x1 + x2 + x3 <= 3 x1 - 10x2 - 4x3 <=20 x1>= 0 x2>=0 x3 >=0
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
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
Maximize P= 40x1 + 60x2 + 50x3 Subject to the constraints 2x1 + 2x2 + x3 < = 8 x1 - 4x2 +3x3 < = 12 x1 > = 0 x2 > = 0 x3 > = 0
Maximize P = 100x1 + 200x2 + 50x3 Subject to the constraints 5x1 + 5x2 + 10x3 < = 1000 10x1 + 8x2 + 5x3 < = 2000 10x1 + 5x2 < = 500 x1 > = 0 x2 > = 0 x3 > = 0
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
Using the graphical solution technique, find the optimal solution, value of the objective function and values of the slack variables to this linear programming problem. Â Â Â Min 3x1 + 3x2 Â Â Â s.t. 12x1 + 4x2  48 Â Â Â 10x1 + 5x2  50 Â Â Â 4x1 + 8x2  32 Â Â Â