please do not provide solution in image format thank you! 1.The objective is to solve a problem with two variables x and y (x,y ≥ 0), the constraint100x + 60-y≤600and the three goal constraintsGoal: 7x + 3y 240Goal: 10x + 5y = 60Goals: 5x+4y2 35where the order given corresponds to their priorities. You should use Excel Solver

Linear Programming is a mathematical and statistical tool that is used in operations management to…

Answered: 1. The objective is to solve a problem…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 52P

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Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client's needs. For a new client, Innis has been authorized to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs $100 and provides an annual rate of return of 4%. The client wants to minimize risk subject to the requirement that the annual income from the investment be at least $60,000. According to Innis' risk measurement system, each unit invested in the stock fund has a risk index of 8, and each unit invested in the money market fund has a risk index of 3. The higher risk index associated with the stock fund simply indicates that it is the riskier investment. Innis's client also specified that at least $300,000 be invested in the money market fund. Refer to the computer solution shown below. Optimal…
Formulate a linear program for this problem. 2) A hydroelectric dam needs to schedule how much power to produce in each of the next 24 hours. The demand in megawatts (MW) in hour t = 1, ..., 24 is dị. The power plant must produce at least the demand for each hour, but can produce more at a cost of K dollars per excess MW. For engineering reasons (can't open/close waterways too fast), after hour 1 the production in any given hour must be within 10 MW of the previous hour's production. For example, producing 25 MW in hour 3 means in hour 4 we have to produce between 15 and 35 MW. Finally, the combined production over 24 hours cannot exceed the reservoir capacity R. Please note that d, K, R are parameters, i.e. known values.
1. If constraint has a shadow price of $6, Right-Hand-Side (RHS) is 12, allowable increase is 2, allowable decrease is 4. How would objective function change if the RHS of this constrains changes from 12 to 9? Answer___________
(b) Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program. Max 3x1 + 4x2 s.t. 2x1 + 4x2 2 8> 2x1 + 6x2 2 12 x1, x2 2 0 and integer This is a Max s.t. Write the LP Relaxation for the problem but do not attempt to solve. If required, round your answers to one decimal place. Its LP Relaxation is 2x1 + x1, x2 linear program. xz x1 + 6x21
Vivian and Wayne are planning on going to Lamazenatural childbirth classes. Lamaze classes meet once a weekfor five weeks. Each class gives 20% of the knowledge neededfor “natural” childbirth. If Vivian and Wayne finish theirclasses before the birth of their child, they will forget duringeach week 5% of what they have learned in class. To maximizetheir expected knowledge at the time of childbirth, duringwhich week of pregnancy should they begin classes? Assumethat the number of weeks from conception to childbirthfollows the probability distribution given in Table 9. Week of Birth Probability36 .0537 .1539 .2040 .3041 .1542 .1043 .05
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Use simplex method for linear programming. Show solution for each iteration table. Problem: A small firm that assembles computers is about to start production of two new types of personal computers. Each type will require assembly time, inspection time, and storage space. The amount of each of these resources that can be devoted to the production of the computers is limited. The manager of the firm would like to determine the quantity of each computer to produce in order to maximize the profit generated by sales of these computers. In order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of those meetings, the manager has obtained the following information: Type 1 Type 2 Profit per unit $60 $50 Assembly time per unit 4 hours 10 hours Inspection time per…
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1. The objective is to solve a problem with two variables x and y (x,y>0), the constraint 100-x + 60-y≤600 and the three goal constraints Goal: 7x+3y240 Goal: 10x + 5y = 60 Goals: 5x + 4y ≥ 35 where the order given corresponds to their priorities. You should use Excel Solver