Quantitative Techniques — DU Bachelor of Business Administration (Financial Investment Analysis) Previous Year Question Papers

Quantitative Techniques 20,000 is allocated to the campaign. Hoviever, to ensur.e that each medium will have at least one radio commercial and o.ne TV ad, the most that can be allocated to either medium cannot exceed 80% of the total budget.. It is estimated that the first radio commercial will reach 5000 people, with each additional commercial reaching only 2000 new ones. For TV, the first ad will reach 4500 people, and each additional ad an additional 3000. How should the budgeted amount be allocated between radio and TV? Solve using Graphical Method. (10) (b) Obtain the dual for the following primal problem : 2. (a) Solve the.followingLPPusing Two phase method : (b) For the above LPP, answer the following.questions : (i) What are the shadow prices of the resources? Over what range in each of the RHS values are these shadow prices valid? (ii) What are the ranges over which the objective function coefficients can vary for all the decision v.ariables? (8) 3. (a) A milk producing co-oper.ative union desires to determine how many kilograms of butter it should produce on daily basis to meet the demand. Past records have shown the following pattern of demand : Assume that the stock levels are res.tricted to the range 15-45 kg. (a multiple of 5 kg) and that butter left unsold at the end of the day mu.st bQ disposed of due `to inadequate stori.ng facilities. Butter costs Rs. 14 .per kg. and is sold at Rs. 20 per kg. (i) Construct a payoff tablt, (ii) Determine the, optimal decision according to: -. expected profit maximax criterion minimax criterion (10) (b) A company has fopr sales who are to be assigned to four different sales territories. The monthly sa.les increase estimated for each representative for different sales territories (in tbousands of rupees) are given in following SALES TERRITORIES SALESREPRESENTATIVE I 11 Ill (i) Obtain an optimal assignment. and the total maximum increase in sales per month. (ii) For certain reasons, if sales representative 8 cannot be assigned to sales te.rritory Ill, will the optimal assignment schedule change? If so, what will be the new schedule and what will be the effect on the total sales? (8) 4.. (a) Given X[[ = 31, X[2 = 25, x2[ = 41, X23 = 41 and X32,= 77 for the following transportation problem : DlsTRIBUTroN cENTERs, I FACTORY W X Y CAPACITY (i) Is it an optimal solution? If not, find the optimal solution. (ii) Does the problem have multiple optimal solution? dive reasons.. If so, find one more optimal solution. .(fii) If it is considered necessary to transport 20 units from factory A to distribution centre Y, what will be the impact on the cost with changed allocation. ( 10) (b) Two packaged food manufacturers `Knorr and Mccain' are coqupeting for increasing hit market. shares. The pay-off matrix shown in the following table, describes the increase in market share `to `Knorr' and decrease in market share for `Mccain'. Det;rmine the optimal strategies for both the firms and also the value of the game.