MANAGEMENT SCIENCE UNIT-4 | Degree 4th sem BBA management Science unit-4 full explanation💯✅

追加: 2026-05-30

[00:00:00]Hello dear students, welcome back to our YouTube channel Learn with Sahira. In this video, let us see complete and clear explanation of unit number four theory from the subject management science, which is for degree fourth semester BBA students. Students, definitely watch the video till the very end and if you're new to our YouTube channel Learn with Sahira, subscribe it for more exam preparation videos.

[00:00:22]Students, one more important thing, I have already prepared damn sure important question and answers notes for all subjects and languages of degree fourth semester. These notes are easy, simple, clear to understand and ready for quick exam preparation. If you want these notes, message me on my Instagram.

[00:00:37]My Instagram ID link is available in this video description. Just message me want notes along with your group and semester, but remember these are paid notes. Yes, there is a small payment for the notes, but believe me, you're going to see excellent results with these notes. Only the students who want the notes should text me. Keeping this aside, let us get started. Guys, from unit number four, first question is managerial applications as well as limitations of operations research.

[00:01:01]First, let us try to understand a little about operations research. Operation Operations research or OR is a scientific method which is used to solve business problems, as well as it helps managers to take better decisions.

[00:01:15]Basically, guys, it uses mathematical techniques, logical thinking, as well as data analysis to find the best solution among different alternatives. In simple words, if I would say you what is operations research, operations research helps managers to choose the right decision and use resources effectively.

[00:01:35]As simple as that.

[00:01:37]Now, let us talk about applications.

[00:01:39]First, it is production planning. OR helps managers to decide what to produce, how much to produce, when to produce. Basically, it helps in proper planning of production activities, as well as it helps us to improve efficiency, okay? Inventory management, guys, OR helps to maintain the right amount of stock. Like, too much stock will increase storage cost. While too little stock may stop production. So, OR will help us to find the optimum stock level as well as it avoids both shortage and excess inventory, okay?

[00:02:10]Transportation management, guys. OR helps us to select the most economical transportation routes, okay? For example, if a company is there and that company need to distribute its products.

[00:02:23]So, a company can choose the shortest and cheapest route for product distribution.

[00:02:29]Then scheduling, guys. Scheduling means deciding the order and timing of different jobs. OR will help assign jobs to machines and workers properly.

[00:02:37]Basically, it will reduce waiting time as well as it improves productivity.

[00:02:42]Resource utilization. Every organization has limited resources, right? Such as labor, machines, materials, money, and all. So, OR will help to use these resources in the best possible way without any wastage. We will be utilizing all the resources effectively without any wastage. That is nothing but resource utilization. Decision making, already we have seen that managers often face different alternatives while making the decision. So, OR will help to analyze all options as well as it helps to select the best solution, okay?

[00:03:14]Now, we have limitations or disadvantages of OR. First, it is that it depends on accurate or correct data.

[00:03:21]Operations research depends heavily on data, guys. If the data is wrong or if the data is incomplete, the results may also be incorrect. So, therefore, we can say that accurate information is very important in operations research.

[00:03:37]Implementing OR may require computer software, trained experts, and all. So, these requirements can be expensive for some organizations, okay? Not all organizations can afford. Complex techniques, guys. Many OR methods involve mathematical calculations and models. So, people without technical knowledge, they may find them difficult to understand. Human factors ignored.

[00:03:59]Operations research mainly focuses on numbers and calculations. Okay, I'm sorry. So, human emotions, attitudes, behavior, personal feelings, all these cannot be measured easily using OR, we can say.

[00:04:12]And also, it is time-consuming, guys.

[00:04:14]Collecting the data, developing the models, analyzing the results, it may take a lot of time. So, yes, OR is useful tool that helps managers to make better decisions. We have seen its applications as well as limitations.

[00:04:28]Guys, do not worry. In detail explanation answers notes are already available. The notes which I'm using in order to provide you explanation, these notes are short version which I have made or prepared in order to provide you free explanation on YouTube. But paid notes are different. In paid notes, you will be seeing in detail explanations.

[00:04:47]Okay, just by giving a reading, you will understand the whole concept. If you want them, message me on my Instagram.

[00:04:54]Next, we have explain the types of OR models. Guys, operations research or OR models are simplified representations of real-life business situations, we can say. Basically, they help the managers to understand the problems. Like they will be understanding the problems clearly. They will be analyzing different alternatives. Also, they will be Yeah, I'm sorry, guys. So, where were we?

[00:05:22]Uh so, yes, basically, they help the managers to understand different problems clearly. They will be seeing or they will be analyzing different alternatives. Then they will be making better decisions. Okay? So, yes, OR models acts like a guide that helps the managers to solve problems easily and scientifically. Okay? And there are main three types of OR models. Okay, what are the three types? Let us see now. First, we have physical models, guys. Physical models are actual or miniature representations of real objects, we can say. Basically, they show the structure or appearance of a system in a smaller and simpler form, okay? These models help the people to visualize and understand a system easily. Example, model of a factory, bridge car model ho gaya ya machine prototype ya ek building ka model ho gaya. We will be seeing the structure, right? Up building ya bridge banane se pehle model banate na dekhe honge aisa picture mein aapko dikhate ki ye bridge aise hone wali hai ya to ye machine aise hone wala hai. So, that is nothing but physical model, okay? For example, just assume before constructing a large building, engineers may prepare a small model, right? To understand its design.

[00:06:37]That is nothing but physical model, okay? And it is easy to understand. It gives us clear visual picture. Also, it is useful for planning and design. Then, we have analog models, guys. Analog models, they use symbols, diagrams, charts, graphs, or maps to represent a real system, okay? They do not look exactly like the real object, but they show relationship and information in a simple way, okay? Examples can be flow charts, organizational charts, production graphs. Maps be ek example hai analog models mein. For example, a flow chart which shows different steps in production process. That is nothing but analog model. So, it is very simple to prepare. Also, it is very easy to analyze, okay?

[00:07:22]Mathematical model, guys. This uses numbers, equations, formulas, sab kuch mathematical technique samjho ek business problem ko solve karne ke liye.

[00:07:31]If we want to solve a business problem through mathematical model, we will be using mathematical techniques, okay? And managers use these models to find the best solution among many alternatives, guys. Linear programming, inventory models, transportation models, queuing models, these are the examples. For example, if a company uses mathematical model to determine how much product should be produced to maximize profit, in that case we can say that yes, this is mathematical model. Yes, they provide accurate results, guys, and they support scientific decision-making, okay?

[00:08:05]Uh if we talk about difference, I can say you that physical models, they show actual appearance of a system in a smaller form. Analog model, they use diagrams, charts, symbols, and all to explain a system. Mathematic- mathematical models, they use equations and calculations to solve the problems and make decisions, okay? Then we have linear programming explanation formula- explain formulation of LPP mathematical functions and graphical method. Guys, linear programming or LP is a mathematical technique which is used to find the best solution when resources are limited. Come cheese and ham, will come cheese and ham here come salad here. So, at that time linear programming will be the best step.

[00:08:50]Basically, it helps an organization to make maximum profit or minimum cost by using available resources efficiently, guys. Simple words may I bolo, to linear programming helps the managers to decide the best way to use limited resources, okay? Such as money, labor, materials, and machines. For example, guys, understand it. If a company produces two products but has limited raw materials and limited workers, so LP will help them to decide how many units of each product should be produced to earn maximum profit, okay?

[00:09:27]Let us see formulation. First, we have identification of a decision variables, guys. Decision variables are the unknown quantities that we need to find, okay?

[00:09:36]They represent the decisions to be made.

[00:09:39]X, number of units of product A. Y, number of units of product B. So, the main objective is to determine the values of X and Y. Decision variables go identify gonna. Then objective function, guys. The objective function shows the goal of the problem, okay? The goal may be maximizing profit or minimizing the cost. Example you're seeing here. Z is nothing but total profit.

[00:10:06]10 is profit from product A.

[00:10:09]Eight is profit from product B. So, the main aim is to maximize the value of Z.

[00:10:16]Constraints, guys. Constraints are the limitations or restrictions on resources, okay? Every organization has limited resources, right? Such as labor, materials, machine hours, and all. So, these limitations are written as mathematical equations or inequalities, okay? You can see 2 X plus You can see these examples you can mention, okay?

[00:10:36]So, yes, these equations they show limits on available resources, okay?

[00:10:41]Then we have non-negativity condition.

[00:10:43]Guys, the value of decision variables cannot be negative. Okay? Because production quantity can never be less than zero, right? So, it cannot be zero or it cannot be negative. Examples you can see. This condition ensures meaningful solutions, okay? Now, mathematical functions of LPP. Objective function, guys. This function represents the main goal of the problem, okay? It may be used to maximize the profit, minimize the cost, maximize production.

[00:11:12]So, the entire solution revolves around achieving this objective. Constraint functions, guys. These functions represent resource limitations, okay?

[00:11:21]They restrict the possible solutions.

[00:11:23]So, without constraints, resources would be unlimited. Unlimited right there, guys. Resources by some limited right there up in the bus. Land unlimited right there. Labor unlimited right there. Practically near right. So, yeah, this are really it. Non-negativity functions, guys, these functions ensure that decision variables remain positive or zero. Negative may not be just like that, okay?

[00:11:44]Yes. Now, graphical method of solving LPP, the graphical method Yeah, I'm going to use it jump over here pass through the decision variables, okay?

[00:11:55]So, I got two decision variables here to graphical method we will be using.

[00:11:59]Formulate the problem, guys. First, write decision variables, objective function, constraints, and all. So, this will create mathematical model, okay?

[00:12:06]Then, convert constraints into equations. The inequalities are converted into equations for drawing graphs, okay? Plotting easier with this figure. Graph to draw corner the equations are plotted on x-axis and y-axis. Each constraint is represented by a line.

[00:12:23]Then, we need to identify the feasible region, like the area that satisfies all constraints is called the feasible region, okay? Constraint can I have the back corner up on or any solution which is inside this region can be possible. Then, determine corner points, guys. The corner points of the feasible region are identified. Like, these points are important, okay?

[00:12:44]Because optimum solution lies at one of them. Then, evaluate objective function.

[00:12:49]The value of the objective function is calculated at each corner point. The point giving maximum profit or minimum cost is selected as the optimum solution. Okay? As you can see on the screen. So, yes, linear programming is a powerful technique which is used to make the best use of limited resources, we can say. And we have seen different concepts in this LPP.

[00:13:13]Now, how was the explanation? Do let me know in the comment section. If you are having any confusion or if you didn't understand any point, do not worry.

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