Master of Business Administration – Semester

Linear computer programming Is a specific case of mathematical programming (mathematical optimization). More formally, running(a) programming is a technique for the optimization of a linear objective lens function, subject to linear equality and linear contrast constraints. (b) A toy company manufactures two suits of dolls, a basic discrepancy doll- A and a deluxe version doll-B. Each doll of type B takes twice as long to produce as unmatchable of type A, and the company would give up time to bring out maximum of thou per day. The supply of plastic Is sufficient to produce 1000 dolls per day (both A & B combined).The deluxe version requires a fancy dress for which in that respect ar only 500 per day available. If the company makes a remuneration of RSI 3. 0 and RSI 5 per doll, respectively on doll A and B, so how many of each doll should be produced per day in redact to maximize the natural profit. Formulate this fuss. Mans. Let XSL and XX be the egress of dolls pro duced 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 not exceed 20th hrs. Therefore, + schoolbook 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 intersection pointive resources (such 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 changing conditions. 4. In a production process, bottle necks may occur. For example, in a manufacturing plant some machines may be in great demand composition others ay lie idle for some time. A signifi throw outt advantage of linear programming is highlighting of such bottle necks. 5. Most barter problems connote constraints like raw materials availability, market demand etc. Which must be taken into consideration. Just we understructure 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. subterfuge 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 von Neumann and Ulna, in the late sass found a problem in the field of nuclear physics too complex for analytical resultant and too dangerous for actual experimentation. They arrived at an approximate solution by sampling. The method they used had resemblance to the gamblers betting systems on the rou lette table, therefore the name Monte Carlo has stuck.Imagine a betting game where the stakes are based on correct prediction of the number of designates, which occur when vanadium 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 performance of probability theory, it would be difficult to predict the chances of getting unhomogeneous numbers racket of heads, when five coins are tossed. Why dont you take five coins and toss them repeatedly.Note down(p) 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 steady as the number of tosses are increased. This approach in effect is a method of sampling, but is not very invention. Instead of actually tossing the coins, you can conduct the experi ment using random numbers. Random numbers have the property that any number is equally likely to occur, irrespective of the fingers breadth that has already occurred.