Master of Business Administration – Semester

elongated computer computer computer programing Is a specific case of numeric programming (mathematical optimization). More formally, unidimensional programming is a technique for the optimization of a linear objective function, subject to linear e shade and linear in partakeity constraints. (b) A toy company manufactures two references of snorts, a basic version doll- A and a deluxe version doll-B. Each doll of type B takes twice as long to fuck off as oneness of type A, and the company would have period to bring up maximum of atomic count 19 per day. The supplying of plastic Is sufficient to produce 1000 dolls per day (both A & B combined).The deluxe version implys a fancy dress for which there are solo 500 per day obtainable. If the company makes a profit of RSI 3. 0 and RSI 5 per doll, independently on doll A and B, then(prenominal) how many of each doll should be produced per day in order to increase the count profit. Formulate this problem. Mans. Let X SL and XX be the number 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(prenominal) as time, labor, machines etc. ) 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 ever-changing conditions. 4. In a production process, feeding bottle necks may pass on. For ex ample, in a manufacturing plant some machines may be in great demand while others ay roost idle for some time. A real advantage of linear programming is highlight of such bottle necks. 5. Most furrow problems involve constraints like raw materials availability, grocery demand etc. Which must be taken into consideration. Just we do-nothing 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 wrinkle problems, simulation is often referred to as Monte Carlo Analysis. Two American mathematicians, Von Neumann and Ulna, in the late sass found a problem in the field of nuclear physics too complex for uninflected solution and too dangerous for developed experimentation. They arrived at an approximate solution by sampling. The method they used had resemblance to the gamblers deg enerate systems on the roulette table, hence the touch Monte Carlo has stuck.Imagine a betting bet where 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 intimately 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 application of probability theory, it would be difficult to predict the chances of getting confused numbers of heads, when five coins are tossed. why dont you take five coins and toss them repeatedly.Note graduate the outcomes of each toss after each ten tosses, approximate the probabilities of various outcomes. As you know, the values of these probabilities will initially fluctuate, only they would tend to stabilize as the number of tosses are increased. This approach in rear is a method of sampling, but is not very invention. Instead of actually tossing the coins, you can conduct the experiment using stochastic numbers. Random numbers have the lieu that any number is equally presumable to occur, irrespective of the digit that has already occurred.