Bosh/osh subject A manufacturing plant 30m by 55 m, has inside 3 stamping machines 5 by 2m and 7 m in height and 37 dollies, 1 m by1.5 m by 0.25 m. The plant has a requirement that all workers must be 2 m in height. The railings are 1.5m in height andthe post to post distance are 1.5 m as well. The walls are designed to have openings, to be used as doors, 0.8cm fromthe ground on the bottom and 2m from the ground on the top. The fire exits are only written on a white sheet of paper inthe wall using a ballpoint pen. The workers are wearing safety shoes and a cloth cap for head protection. All the freeareas are painted green to serve as pathway for workers and machines. The workers currently working are 300 personsin total.You are an auditing safety engineer from DOLE. What are your observations? What are compliant and not compliant toBOSH standards. Cite the basis of your answer (what is the Rule No. in OSH Manual) and explain..

Safety and secure building of the Organization A safe structure will diminish the shot at security…

Answered: A manufacturing plant 30m by 55 m, has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 61P

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Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)
A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet must have between 1,800 and 3,600 calories. No more than 1,400 calories can be starch, and no fewer than 400 can be protein. The varied diet is to be made of two foods: A and B. Food A costs $0.75 per pound and contains 600 calories, 400 of which are protein and 200 starch. No more than two pounds of food A can be used per resident. Food B costs $0.15 per pound and contains 900 calories, of which 700 are starch, 100 are protein, and 100 are fat. (Answers in Appendix D)a. Write the equations representing this information.b. Solve the problem graphically for the amounts of each food that should be used.
A consulting firm has four projects to consider. Each project will require time (in days) in the next three months according to the table below. Project Time in first month Time in second month Time in third month Revenue A 6 8 6 22000 B 5 6 8 18000 C 8 7 6 16000 D 5 5 4 15000 Revenue from each project is also shown. There is 20 days’ time available in the first month, 22 days’ time available in the second month, and 22 days’ time available in the third month to do these projects. The management wants to select at most 3 projects. If project B is selected, then project C must also be selected. The objective of the firm is to maximize the total revenue. Formulate an integer optimization model for this problem by defining the decision variables, the objective function and all the constraints.…
Finco has the following investments available:Investment A For each dollar invested at time 0, we receive $0.10 at time 1 and $1.30 at time 2. (Time 0 =now;time= 1 one year from now; and so on.)Investment B For each dollar invested at time 1, we receive $1.60 at time 2.Investment C For each dollar invested at time 2, we receive $1.20 at time 3.At any time, leftover cash may be invested in T-bills, whichpay 10% per year. At time 0, we have $100. At most, $50can be invested in each of investments A, B, and C. Formulate an LP that can be used to maximize Finco’s cash onhand at time 3.
You own a wheat warehouse with a capacity of 20 bushelsAt the beginning of month 1, you have 6 bushels of wheat. Each month, wheat can be bought and sold at the prices per one bushel shown in the above table. The sequence of events during each month is as follows: You observe your initial stock of wheat. You can sell any amount of wheat up to your initial stock at the current month's selling price. You can then buy much wheat as you want , subject to the warehouse capacity Determine how to maximize the profit earned over the next 10 months. Need to use only excel for this question
The Swift Corporation wants to schedule the following seven-job problem to be processedon two machines A and B. Each job must be processed by two machines A and B, firston machine A and then machine B. The operation processing times at machine A and Bare as follows: Jobi 1 2 3 4 5 6 7 Processing time on machine A (ai) 9 8 7 12 6 8 15 Processing time on machine B (bi) 6 5 7 19 12 11 7 Suppose jobs arrived in their natural order (i.e., job l before job 2, etc.), and FIFOsystems of scheduling and processing the jobs is used. What is the completion timeof each job and what is the total throughput time (makespan) of all jobs?
A large business process outsourcing company operates 5 days a week (Monday to Friday). The manager estimates that the minimum number of agents requires, a combined on-site and work-from-home (WFH) setup, to provide prompt service: 20 for Monday, 18 for Tuesday, 23 for Wednesday, 28 for Thursday, and 32 for Friday. Labor rules state that each agent must work for 3 days a week on-site. and 2 days in WFH setup. For example. an agent who works on-site Monday to Wednesday must be on WFH setup during Thursday and Friday. Also. the company wants at least 60% of the workforce daily to report on-site. Formulate the appropriate LP model for this problem to minimize the number of agents to be hired.
Problem: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50, and each acre of barley yields a profit of $70. To sow the crop, two machines, a tractor and a tiller are rented. The tractor is available for 150 hours, and the tiller is available for 200 hours. Sowing an acre of wheat requires 4 hours of tractor time and 1 hour of tilling. Sowing an acre of barley requires 3 hours of tractor time and 2 hours of tilling. How many acres of each crop should be planted to maximize the farmer’s profit? (Let W be the number of acres of wheat to be planted, B the number of acres of barley to be planted and P the profit) (a) What is the objective function for the problem? (b) Excluding the non-negative constraint, how many constraints does the problem have? (c) What is the linear programming model of the problem?
The Kandy Company wants to schedule the following seven-job problem to be processed on two machines A and B. Each job must be processed by two machines A and B, first on machine A and then machine B. The operation processing times at machine A and Bare as follows: Job i 1 2 3 4 5 6 7 Processing time on Machine A (ai) 9 8 7 12 6 8 15 Processing time on Machine B (bi) 6 5 7 19 12 11 7 a. Suppose jobs arrived in their natural order (i.e., job l before job 2, etc.), and FIFO systems of scheduling and processing the jobs is used. What is the completion time of each job and what is the total throughput time (makespan) of all jobs? b. Suppose the inter-arrival times between jobs can be treated as zero and Johnson’s rule is used to sequence and process the jobs, what is the time of each job and what is the total throughput time (makespan) of all jobs? c. What would be the difference in the average time a job spends in the shop…
Riesemberg Medical Devices is allocating next year's budget among its divisions. As a result, the R&D Division needs to determine which R&D projects to fund. Each project requires various software and hardware and consulting expenses, along with internal human resources. A budget allocation of $1,300,000 has been approved, and 35 engineers are available to work on the projects. The R&D group has determined that at most one of projects 11 and 77 should be pursued, and that if project 66 is chosen, then project 11 must also be chosen. Develop a model to select the best projects within the budget.
A toy manufacturer preparing a production schedule for two new toys, trucks spinning tops,must use the information concerning their construction times below.Machine A Machine B FinishTruck 2hr 3hr 5hrSpinning Top 1hr 1hr 1hrFor example, each truck requires 2 hours on machine A. The available employee hours per weekare as follows: For operating machine A; 80 hours; for B, 50 hours; for finishing 70 hours. If theprofits on each truck and spinning top are R7 and R2, respectively, how many of each toyshould be made per week to maximize profit? What is the maximum profit?
A chocolate maker has contracted to operate a small candy counter in a fashionable store. To startwith, the selection of offerings will be intentionally limited. The counter will offer a regular mixof candy made up of equal parts of cashews, raisins, caramels, and chocolates, and a deluxe mixthat is one-half cashews and one-half chocolates, which will be sold in one-pound boxes. In addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, andchocolates.A major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold theamounts shown in the table.IngredientCapacity(pounds per day)Cashews 120Raisins 200Caramels 100Chocolates 160In order to present a good image and to encourage purchases, the counter will make at least 20boxes of each type of product each day. Any leftover boxes at the end of the day will be removedand given to a…

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