3.4-17. Joyce and Marvin run a day care for preschoolers. Theyare trying to decide what to feed the children for lunches. Theywould like to keep their costs down, but also need to meet thenutritional requirements of the children. They have alreadydecided to go with peanut butter and jelly sandwiches, and somecombination of graham crackers, milk, and orange juice. Thenutritional content of each food choice and its cost are given in thetable below.Calorlesfrom Fat CaloriesVitamin C Protein Cost(g)TotalFood Item(mg)(e)Bread (1 slice)107035Peanut butter(1 tbsp)Strawberry jelly(1 tbsp)Graham cracker75100445037(1 сracker)Milk (1 cup)Juice (1 cup)2060187015028.15100120135The nutritional requirements are as follows. Each child shouldreceive between 400 and 600 calories. No more than 30 percent ofthe total calories should come from fat. Each child should consumeat least 60 milligrams (mg) of vitamin C and 12 grams (g) of pro-tein. Furthermore, for practical reasons, each child needs exactly2 slices of bread (to make the sandwich), at least twice as muchpeanut butter as jelly, and at least 1 cup of liquid (milk and/orjuice).Joyce and Marvin would like to select the food choices for eachchild which minimize cost while meeting the above requirements.(a) Formulate a linear programming model for this problem.c (b) Solve this model by the simplex method.

Consider the provided details to solve the subparts. Below are the following decision variables…

Answered: 3.4-17. Joyce and Marvin run a day care…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Second consulting is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and support personnel required for each project, and the expected profits for each project are summarized in the following table: Project 1 2 3 4 5 6 Engineers required 20 55 47 38 90 63 Support personnel required 15 45 50 40 70 70 Profit ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 There are 175 engineers available and 150 support personnel available for these projects. Further, no more than 3 projects can be done. Formulate an integer program to solve this problem. Define the decision variables needed to model this problem. The objective is to maximize profit. Give the objection function. Write the constraints. What is the final answer? Explain in detail.
Consider a small Oil production firm with 5 competing oil production projects, A - E. The table below shows the estimated long-term profit (Net Present Value) for each project as well as the amount of investment capital required to start the project. You have been contacted to help select the best combination of projects to maximize the Net Present Value subject to the capital investment limit of $32 million. Production Project A B C D E Estimated Profit (millions) 25 20 19 28 21 Capital Required (millions) 11 8 14 19 13 Formulate a Binary Integer Programming (BIP) model on a spreadsheet. Solver the model using Solver.
Given the linear program Max 3x+4y S.T. -x+2y</=8 x+2y</=12 2x+y</= 16 x,y>/=0 A. Write the problem in standard form. Identify slack/surplus variables. B. Find all the extreme points. List the value for x and y at each extreme point. C. What is the optimal solution? D. What are the values of the slack/surplus variables at the optimal solution?
develope a space matrix for macdonalds. Below are the instructions. The steps required to develop a SPACE Matrix are as follows: 1. Select a set of variables to define financial position (FP), competitive position (CP), stability position (SP), and industry position (IP). 2. Assign a numerical value ranging from +1 (worst) to +7 (best) to each of the variables that make up the FP and IP dimensions. Assign a numerical value ranging from -1 (best) to -7 (worst) to each of the variables that make up the SP and CP dimensions. On the FP and CP axes, make comparison to competitors. On the IP and SP axes, make comparison to other industries. 3. Compute an average score for FP, CP, IP, and SP by summing the values given to the variables of each dimension and then by dividing by the number of variables included in the respective dimension. 4. Plot the average scores for FP, IP, SP, and CP on the appropriate axis in the SPACE Matrix. 5. Add the two scores on the x-axis and plot the resultant…
May I have the linear programming graph (or model) or plot with the given following information? 3 variables and 8 contraints Objective - Zmax = 1.85R+2.1D+2.15H Constraints: 0.15R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.15H ≤ 7500 0.25R + 0.2D + 0.15H ≤ 7500 0.10R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.20H ≤ 7500 R ≥ 10000 D ≥ 3000 H ≥ 5000
StockCo is considering five investments. The net present value (NPV) and capital require-ments over the next two years are summarized as follows:Net Present Capital Requirements ($)Value ($) Year 1 Year 2Investment 1 4,000 2,500 1,000Investment 2 6,000 2,000 3,500Investment 3 10,000 6,500 2,500Investment 4 7,000 5,000 1,500Investment 5 2,500 1,000 1,000Capital funds available for year 1 and year 2 are $7,500 and $5,500 respectively. In addition,StockCo needs to satisfy the following requirements:•StockCo can invest in at most three investments.•Investment 2 or 3 must be invested but not both.•If Investments 1 and 5 must be invested, they must be invested simultaneously.•If StockCo invests in investment 2, they must also invest in investment 4.a) Formulate an Integer Programming that will maximize the NPV of Stockco from allinvestments.b) Solve the problem by using Excel Solver. Show the optimal solution and optimal value in your printouts.
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A. Write a document with the following information: 1. What do you expect your job to pay when you start? 2. What benefits are musts for you? 3. What benefits would you like to have even though they are not musts? 4. Include the graph you generate in step B below. B. Create a spreadsheet and a graph of life vs funds For each year of your remaining life specify the amount you plan to save/invest/withdraw that year and how much you expect that amount to increase during the year (base on actual data – typical savings interest rate, typical stock market interest rate, typical CDs, typical…). Calculate how much your funds will increase/decrease over your life and create a life (x-axis) vs funds (y-axis) plot.
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Troy and Tristan have decided to open a competitive Cheer and Dance business. Troy’s expertise is in business. He has a degree in Business Administration with a minor in Underwater Basket Weaving. Tristan, on the other hand, has a degree in Sports Management and has been coaching the Tesoro cheerleading team, while his girlfriend, Beatrix, has been coaching the dance team. The problem is that no one has much capital to invest. In fact, both are having a little trouble figuring out how they will be able to get the startup capital for the business. Fortunately, there are no other competitive Cheer and Dance companies in the area. Unfortunately, the potential buildings they have found to lease costs over $7,000 per month and they expect that utilities and water will cost approximately $650 per month. Liability insurance is expensive as well, estimated to be $2,000 per month due to possible injuries. What type of business organization should Troy ad Tristan adopt?
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