An individual wishes to invest $25000 in two types: Investment A yields 15%, and investment B yields18%. Market research suggests an allocation of at least 35% in A and at most 45% in B. In addition,investment in A should be at least twice the investment in B.a)Show the decision variables and the objective variableShow and name the constraints in standard form (suitable for using Excel)Solve the problem by using Excel. Do so and write a conclusion of your findings for thec)d)person.

Answered: n individual wishes to invest $25000 in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the Simplex method to find the optimal solution to the problem below Investment: An investor has at most $35,000 to invest in government bonds,mutual funds and money market funds. The average yield for government bonds,mutual funds and money market funds, are 3%, 6% and 5% respectively. Theinvestor's policy requires that the total amount invested in mutual and money marketfunds must not exceed the amount invested in government bonds. How much shouldbe invested in each type of investment in order to maximize the return? What is themaximum return?.
A store store is looking to stock the following: necklaces, bracelets, rings, and earrings. The objective function measuring profit and constraints are given below. Constraint 1 measures display space in units, constraint 2 measurestime to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. Setup an LP program in Tab "#1" and run additional reports (leave reports in your file) in order to answer the following questions.MAX 100X1+120X2+150X3+125X4S.T.1) X1+2X2+2X3+2X4<1082) 3X1+5X2+X4<1203) X1+X3<254) X2+X3+X4>50a. How many necklaces should be stocked?b. Now many bracelets should be stocked?c. How many rings should be stocked?d. How many earrings should be stocked?e. How much space will be left unused?f. How much time will be used?g. By how much will the second marketing restriction be exceeded?h. What is the profit?i. To what value can the profit on necklaces drop before the solution would change?j. By how much can the profit on rings increase…
A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 40 refrigerators already, while warehouse B has 15 on hand. It costs $10 to ship a refrigerator to warehouse A and $14 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize cost? Find the objective function and the constraints for the above problem.
Solve, a. A student earns $15 per hour for tutoring and $10 per hour as a teacher’s aide. Let x = the number of hours each week spent tutoring and let y = the number of hours each week spent as a teacher’s aide. Write the objective function that models total weekly earnings. b. The student is bound by the following constraints: ? To have enough time for studies, the student can work no more than 20 hours per week. ? The tutoring center requires that each tutor spend at least three hours per week tutoring. ? The tutoring center requires that each tutor spend no more than eight hours per week tutoring. Write a system of three inequalities that models these constraints. c. Graph the system of inqualities in part (b). Use only the first quadrant and its boundary, because x and y are nonnegative. d. Evaluate the objective function for total weekly earnings at each of the four vertices of the graphed region. [The vertices should occur at (3, 0), (8, 0), (3, 17), and (8, 12).] e. Complete the…
1. Maximization Model. Answer in complete solution.
1. Write the decision variables in the short form 2. Write the objective function 3. Write the constraints and domain condition
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A television manufacturer makes rear-projection and plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for the plasma televisions.a. Let x = the number of rear-projection televisions manufactured in a month and let y = the number of plasma televisions manufactured in a month. Write the objective function that models the total monthly profit.b. The manufacturer is bound by the following constraints:. Equipment in the factory allows for making at most 450 rear-projection televisions in one month.. Equipment in the factory allows for making at most 200 plasma televisions in one month..The cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for the plasma televisions. Total monthly costs cannot exceed $360,000.Write a system of three inequalities that models these constraints.c.Graph the system of inequalities in part (b).Use only the first quadrant and its boundary, because x and y must both be nonnegative.d.…
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint
I need explaination and spreadsheet with formulas and step to step interpretation please.....The attached are first two pages of required assisance and below is the rest of instructions please consider all of them:c. Suppose the CEO says, “Projects 3 and 4 must be undertaken but not both.”Describe the constraint.d. Suppose the CEO says, “Projects 4 cannot be undertaken unless projects 1 and 3also are both undertaken.” Describe the constraints. Hint: You may need to add more than one constraint for this part.3. [45pts] Multi-product Production Planning. Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:Department Product 1 Product 2 Product 3A 1.50 3.00 2.00B 2.00 1.00 2.50C 0.25 0.25 0.25During the next production period, the labor-hours…
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