Lp formulation
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This document formulates a linear programming problem to determine the optimal production quantities of Products P1 and P2 given machine time and contribution margin constraints. Product P1 takes 4 hours on machine M1 and 2 hours on M2, while Product P2 takes 2 hours on M1 and 4 hours on M2. The objective is to maximize total contribution by choosing the quantities x1 and x2 subject to the 60 hours available on M1, 48 hours on M2, and non-negativity constraints.
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Graphical method
The document describes a production problem involving two products (P1 and P2) that are manufactured using two machines (M1 and M2). P1 requires 4 hours on M1 and 2 hours on M2, while P2 requires 2 hours on M1 and 4 hours on M2. The goal is to determine the optimal quantities of P1 and P2 to maximize total contribution, given 60 hours available on M1 and 48 hours on M2. This problem is modeled as a linear programming problem and graphically solved by plotting the constraint lines and finding their intersection point.
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Lpp numerical
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The document describes a production problem involving two products (P1 and P2) that are manufactured using two machines (M1 and M2). P1 requires 4 hours on M1 and 2 hours on M2, while P2 requires 2 hours on M1 and 4 hours on M2. The goal is to determine the optimal quantities of P1 and P2 to maximize total contribution, given 60 hours available on M1 and 48 hours on M2. This problem is modeled as a linear programming problem and graphically solved by plotting the constraint lines and finding their intersection point.
Maximisation problem
The document presents a linear programming problem to determine the optimal production mix for two products (P1 and P2) that maximizes profit. The products have different processing times and resource requirements on milling and drilling machines, which have limited weekly hours. The problem is formulated as a linear program to maximize total profit subject to the machine hour constraints. Slack variables are introduced and the problem is solved using the simplex method to find the optimal production levels of 50 units of P1 and 20 units of P2, yielding maximum profit of Rs. 20,500.
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Unit i-1-or
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原版制作(澳洲WSU毕业证书)西悉尼大学毕业证文凭证书一模一样
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本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
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A fast food chain wants to build four new stores and received bids from six construction companies. The document shows the bid amounts in a table and describes using the Hungarian method to determine the optimal assignment of companies to stores that minimizes the total cost. The method involves reducing the table through successive steps to reveal a unique solution with no remaining zeros. The result assigns each store to a single construction company to minimize the total cost for building all four stores.
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a minimisation linear programming problem (LPP), solved using simplex method (operations research: OR)
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Operations research (OR) is a tool used to increase the effectiveness of managerial decisions. It can help with profit maximization, production management like determining optimal product mix and scheduling, financial management, marketing management, and personnel management. Some common OR models include linear programming, transportation, assignment, and sequencing problems. OR uses mathematical techniques like linear programming, decision theory, game theory, queuing theory, simulation, network analysis, and inventory models.
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The document discusses sequencing problems in operations research. It defines key terminology used in sequencing problems, such as processing time and total elapsed time. It also presents Johnson's algorithm for sequencing jobs on two machines, which sequences jobs by starting with the job having the smallest processing time on the first machine. Examples are given of applying the algorithm to problems with different numbers of jobs and machines.
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1) A game involves strategic interaction between players who have conflicting goals of maximizing their own outcomes.
2) Players in a game have a finite number of available strategies and payoffs can be calculated for all outcomes.
3) Zero-sum games are situations where one player's gains equal the other's losses. Strategies like maximin and minimax aim to optimize players' minimum/maximum payoffs.
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在线办理(UVic毕业证书)维多利亚大学毕业证录取通知书一模一样
学校原件一模一样【微信：741003700 】《(UVic毕业证书)维多利亚大学毕业证》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
原版制作(澳洲WSU毕业证书)西悉尼大学毕业证文凭证书一模一样
学校原件一模一样【微信：741003700 】《(澳洲WSU毕业证书)西悉尼大学毕业证、文凭证书》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
The Management Guide: From Projects to Portfolio
A presentation on mastering key management concepts across projects, products, programs, and portfolios. Whether you're an aspiring manager or looking to enhance your skills, this session will provide you with the knowledge and tools to succeed in various management roles. Learn about the distinct lifecycles, methodologies, and essential skillsets needed to thrive in today's dynamic business environment.
Credit-Management seminar for cooperative power point presentation
Credit-Management seminar for cooperative power point presentation
原版制作(CDU毕业证书)查尔斯达尔文大学毕业证PDF成绩单一模一样
学校原件一模一样【微信：741003700 】《(CDU毕业证书)查尔斯达尔文大学毕业证PDF成绩单》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Strategic Org Design with Org Topologies™
Org Design is a core skill to be mastered by management for any successful org change.
Org Topologies™ in its essence is a two-dimensional space with 16 distinctive boxes - atomic organizational archetypes. That space helps you to plot your current operating model by positioning individuals, departments, and teams on the map. This will give a profound understanding of the performance of your value-creating organizational ecosystem.
Chart--Time Management.pdf How to time is spent
Time management is foundation for any successful activity.
Resource-mobilization-guide-for-community-based-organizations1.pdf
resource mobilization guidebook for comminute based organizations
一比一原版(QU毕业证)皇后大学毕业证如何办理
QU本科学位证成绩单【微信95270640】《皇后大学毕业证书原版制作QU成绩单》【Q微信95270640】《仿制QU毕业证成绩单皇后大学学位证书pdf电子图》，A.为什么留学生需要操作留信认证?
留信认证全称全国留学生信息服务网认证,隶属于北京中科院。①留信认证门槛条件更低,费用更美丽,并且包过,完单周期短,效率高②留信认证虽然不能去国企,但是一般的公司都没有问题,因为国内很多公司连基本的留学生学历认证都不了解。这对于留学生来说,这就比自己光拿一个证书更有说服力,因为留学学历可以在留信网站上进行查询!
B.为什么我们提供的毕业证成绩单具有使用价值？
查询留服认证是国内鉴别留学生海外学历的唯一途径，但认证只是个体行为，不是所有留学生都操作，所以没有办理认证的留学生的学历在国内也是查询不到的，他们也仅仅只有一张文凭。所以这时候我们提供的和学校颁发的一模一样的毕业证成绩单，就有了使用价值。
实体公司，专业可靠，办理加拿大毕业证|办美国成绩单|做德国文凭学历认证|办新西兰学位证，办澳洲文凭认证，办留信网认证（网上可查，实体公司，专业可靠）铸就十年品质！信誉！实体公司！
文凭办理流程：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：微信95270640我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。
7完成交易删除客户资料
高精端提供以下服务：
一：皇后大学皇后大学毕业证文凭证书全套材料从防伪到印刷水印底纹到钢印烫金
二：真实使馆认证（留学人员回国证明）使馆存档
三：真实教育部认证教育部存档教育部留服网站可查
四：留信认证留学生信息网站可查
五：与学校颁发的相关证件1:1纸质尺寸制定（定期向各大院校毕业生购买最新版本毕,业证成绩单保证您拿到的是鲁昂大学内部最新版本毕业证成绩单微信95270640）
A.为什么留学生需要操作留信认证?
留信认证全称全国留学生信息服务网认证,隶属于北京中科院。①留信认证门槛条件更低,费用更美丽,并且包过,完单周期短,效率高②留信认证虽然不能去国企,但是一般的公司都没有问题,因为国内很多公司连基本的留学生学历认证都不了解。这对于留学生来说,这就比自己光拿一个证书更有说服力,因为留学学历可以在留信网站上进行查询!
B.为什么我们提供的毕业证成绩单具有使用价值？
查询留服认证是国内鉴别留学生海外学历的唯一途径但认证只是个体行为不是所有留学生都操作所以没有办理认证的留学生的学历在国内也是查询不到的他们也仅仅只有一张文凭。所以这时候我们提供的和学校颁发的一模一样的毕业证成绩单就有了使用价值。娃拒绝父亲送说往车上一躺就等着下车决无丢失的道理有手机在身联系也方便再说他都岁了还有大半车的小伙伴相伴他不怕在父亲千叮咛万嘱咐中山娃依依不舍地爬上车朝窗外不住地挥手别了父亲别了父亲的城别了我的暑假生活我的城市生活望着窗外挥舞的大手还有那张微驼的背一向坚强的山娃禁不住泪如雨下当我坐下来想写这封信时“感恩两字在我脑海中回旋很幸运我有这样的机会能将埋在心底深深的感激之情得以表达从婴儿的“哇哇坠地到哺育听
Conflict resololution,role of hr in resolution
Conflict resolution techniques in modern day organizations is critical for overall productivity
Credit Management training seminar power point presentation
Credit management training seminar presentation
Employment Practices Regulation and Multinational Corporations
Employment Practices Regulation and Multinational Corporations
Strategic decision making within MNCs constrained or determined by the implementation of laws and codes of practice and by pressure from political actors. Managers in MNCs have to make choices that are shaped by gvmt. intervention and the local economy.
Colby Hobson: Residential Construction Leader Building a Solid Reputation Thr...
Colby Hobson stands out as a dynamic leader in the residential construction industry. With a solid reputation built on his exceptional communication and presentation skills, Colby has proven himself to be an excellent team player, fostering a collaborative and efficient work environment.
Ganpati Kumar Choudhary Indian Ethos PPT.pptx
Ganpati Kumar Choudhary Indian Ethos PPT.pptx, The Dilemma of Green Energy Corporation
Green Energy Corporation, a leading renewable energy company, faces a dilemma: balancing profitability and sustainability. Pressure to scale rapidly has led to ethical concerns, as the company's commitment to sustainable practices is tested by the need to satisfy shareholders and maintain a competitive edge.
Risk-Management-presentation for cooperatives
Power point presentation for risk management for cooperatives
Strategy for E-Types - Strategy Formulation.pptx
Capstone project for Coursera - Strategy Formulation
12 steps to transform your organization into the agile org you deserve
During an organizational transformation, the shift is from the previous state to an improved one. In the realm of agility, I emphasize the significance of identifying polarities. This approach helps establish a clear understanding of your objectives. I have outlined 12 incremental actions to delineate your organizational strategy.
Public Speaking Tips to Help You Be A Strong Leader.pdf
In the realm of effective leadership, a multitude of skills come into play, but one stands out as both crucial and challenging: public speaking.
Public speaking transcends mere eloquence; it serves as the medium through which leaders articulate their vision, inspire action, and foster engagement. For leaders, refining public speaking skills is essential, elevating their ability to influence, persuade, and lead with resolute conviction. Here are some key tips to consider: https://joellandau.com/the-public-speaking-tips-to-help-you-be-a-stronger-leader/
Comparing Stability and Sustainability in Agile Systems
Copy of the presentation given at XP2024 based on a research paper.
In this paper we explain wat overwork is and the physical and mental health risks associated with it.
We then explore how overwork relates to system stability and inventory.
Finally there is a call to action for Team Leads / Scrum Masters / Managers to measure and monitor excess work for individual teams.
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Credit-Management seminar for cooperative power point presentation
Credit-Management seminar for cooperative power point presentation
Resource-mobilization-guide-for-community-based-organizations1.pdf
Resource-mobilization-guide-for-community-based-organizations1.pdf
Credit Management training seminar power point presentation
Credit Management training seminar power point presentation
Employment Practices Regulation and Multinational Corporations
Employment Practices Regulation and Multinational Corporations
Colby Hobson: Residential Construction Leader Building a Solid Reputation Thr...
Colby Hobson: Residential Construction Leader Building a Solid Reputation Thr...
12 steps to transform your organization into the agile org you deserve
12 steps to transform your organization into the agile org you deserve
Public Speaking Tips to Help You Be A Strong Leader.pdf
Public Speaking Tips to Help You Be A Strong Leader.pdf
Comparing Stability and Sustainability in Agile Systems
Comparing Stability and Sustainability in Agile Systems
Lp formulation
- 2. Two products, namely P1 and P2 are being manufactured. Each product has to be processed through two machines M1 and M2. One unit of product P1 consumes 4 hours of time on M1 and 2 hours of time on M2. Similarly, one unit of P2 consumes 2 hours of time on M1 and 4 hours of time on M2. 60 hours of time is available on M1 and 48 hours on M2. The per unit contribution margin of P1 is 8 and of P2 is 6. Determine the number of units of P1 and P2 to be manufactured so as to maximise total contribution.
- 3. Products M1 M2 Contribution Margin P1 4hrs 2hrs Rs.8 P2 2hrs 4hrs Rs.6 Total Machine hours 60hrs 48hrs
- 4. 𝑶𝒃𝒋𝒆𝒄𝒕𝒊𝒗𝒆: 𝑻𝒐 𝒎𝒂𝒙𝒊𝒎𝒊𝒔𝒆 𝒕𝒉𝒆 𝒕𝒐𝒕𝒂𝒍 𝒄𝒐𝒏𝒕𝒓𝒊𝒃𝒖𝒕𝒊𝒐𝒏 𝒎𝒂𝒓𝒈𝒊𝒏 𝑪𝒐𝒏𝒔𝒕𝒓𝒂𝒊𝒏𝒕𝒔: 𝑨𝒗𝒂𝒊𝒍𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒐𝒇 𝒎𝒂𝒄𝒉𝒊𝒏𝒆 𝒉𝒐𝒖𝒓𝒔 𝑳𝒆𝒕 𝒖𝒔 𝒂𝒔𝒔𝒖𝒎𝒆 𝒕𝒉𝒂𝒕 𝒙 𝟏 𝒖𝒏𝒊𝒕𝒔 𝒐𝒇 𝑷𝟏 𝒂𝒏𝒅 𝒙 𝟐 𝒖𝒏𝒊𝒕𝒔 𝒐𝒇 𝑷𝟐 𝒂𝒓𝒆 𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅 𝑶𝒃𝒆𝒋𝒄𝒕𝒊𝒗𝒆 𝒇𝒖𝒏𝒄𝒕𝒊𝒐𝒏: 𝑴𝒂𝒙𝒊𝒎𝒊𝒔𝒆 𝒛 = 𝟖𝒙 𝟏 + 𝟔𝒙 𝟐 𝑴𝒂𝒄𝒉𝒊𝒏𝒆 𝑴𝟏 𝒄𝒐𝒏𝒔𝒕𝒓𝒂𝒊𝒏𝒕: 𝟒𝒙 𝟏 + 𝟐𝒙 𝟐 ≤ 𝟔𝟎 𝑴𝒂𝒄𝒉𝒊𝒏𝒆 𝑴𝟐 𝒄𝒐𝒏𝒔𝒕𝒓𝒂𝒊𝒏𝒕: 𝟐𝒙 𝟏 + 𝟒𝒙 𝟐 ≤ 𝟒𝟖 𝑵𝒐𝒏 − 𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒊𝒕𝒚 𝒄𝒐𝒏𝒔𝒕𝒓𝒂𝒊𝒏𝒕𝒔: 𝒙 𝟏 ≥ 𝟎 𝒙 𝟐 ≥ 𝟎
- 5. ∴ 𝑻𝒉𝒆 𝒇𝒐𝒓𝒎𝒖𝒍𝒂𝒕𝒆𝒅 𝒑𝒓𝒐𝒃𝒍𝒆𝒎 𝒄𝒂𝒏 𝒃𝒆 𝒔𝒕𝒂𝒕𝒆𝒅 𝒂𝒔: 𝑴𝒂𝒙𝒊𝒎𝒊𝒔𝒆 𝒛 = 𝟖𝒙 𝟏 + 𝟔𝒙 𝟐 𝒔𝒖𝒃𝒋𝒆𝒄𝒕 𝒕𝒐 𝒕𝒉𝒆 𝒄𝒐𝒏𝒔𝒕𝒓𝒂𝒊𝒏𝒕𝒔: 𝟒𝒙 𝟏 + 𝟐𝒙 𝟐 ≤ 𝟔𝟎 𝟐𝒙 𝟏 + 𝟒𝒙 𝟐 ≤ 𝟒𝟖 𝒙 𝟏 ≥ 𝟎 𝒙 𝟐 ≥ 𝟎