Master of Business Administration – Semester

running(a) programming Is a specific case of mathematical programming (mathematical optimization). More formally, additive programming is a technique for the optimization of a linear mark function, pendant to linear relateity and linear inequality constraints. (b) A toy company renders two types of dolls, a staple fiber version doll- A and a deluxe version doll-B. Each doll of type B takes doubly as long to produce as one of type A, and the company would have time to hasten maximum of 1000 per mean solar day. The supply of plastic Is sufficient to produce 1000 dolls per day (both A & B combined).The deluxe version consumes a fancy dress for which there be only 500 per day available. If the company makes a profit of RSI 3. 0 and RSI 5 per doll, respectively on doll A and B, therefore how many of each doll should be produced per day in order to maximize the total profit. design this problem. Mans. Let XSL and XX be the moment of dolls produced per day of type A and B, respectively. Let the A require t hrs. So that the doll B require at hrs. So the total time to manufacture XSL and XX dolls should non exceed 20th hrs. Therefore, + text s 20th Other constraints are simple.Then the linear programming problem becomes Maximize p = ex. 5 XA Subject to restrictions, XSL + XX 1500 (Plastic constraint) XX 600 (Dress constraint) And non-negatively restrictions 2. What are the advantages of Linear programming techniques? Mans. Advantages-? 1 . The linear programming technique helps to make the best possible use of available productive resources (such as time, labor, machines and so on ) 2. It improves the quality of decisions. The individual who makes use of linear programming methods becomes more objective than subjective. 3.It also helps in providing better tools for adjustment to meet changing conditions. 4. In a production process, nursing bottle necks may occur. For example, in a factory some machines may be in great consume while others ay lie id le for some time. A significant advantage of linear programming is foreground of such bottle necks. 5. Most handicraft problems involve constraints like raw materials availability, market demand etc. Which must be taken into consideration. Just we can produce so many units of product does not mean that they can be sold. Linear programming can handle such situation also. 3.Write a note on Monte-Carlo simulation. Mans. Simulation is also called experimentation in the management laboratory. While dealing with business problems, simulation is often referred to as Monte Carlo Analysis. Two American mathematicians, Von Neumann and Ulna, in the late mouth found a problem in the field of nuclear physics too complex for analytic solution and too dangerous for actual experimentation. They arrived at an approximate solution by sampling. The method they use had resemblance to the gamblers betting systems on the roulette table, hence the name Monte Carlo has stuck.Imagine a betting mealy w here the stakes are based on correct prediction of the number of heads, which occur when five coins are tossed. If it were only a question of one coin most people know that there is an equal likelihood of a head or a tail occurring, that is the probability of a head is h. However, without the finishing of probability theory, it would be difficult to predict the chances of getting various numbers of heads, when five coins are tossed. wherefore dont you take five coins and toss them repeatedly.Note down the outcomes of each toss after every ten tosses, approximate the probabilities of various outcomes. As you know, the values of these probabilities will initially fluctuate, but they would tend to stabilize as the number of tosses are increased. This approach in effect is a method of sampling, but is not very invention. sort of of actually tossing the coins, you can conduct the experiment using random numbers. Random numbers have the proportion that any number is equally likely to occur, irrespective of the digit that has already occurred.