Related InterviewSolutions

• A company manufactures two models of voltage stabilizers viz., ordinary and autocut. All components of the stabilizers are purchased from outside sources, assembly and testing is carried out at company’s own works. The assembly and testing time required for the two models are 0.8 hour each for ordinary and 1.20 hours each for auto-cut. Manufacturing capacity 720 hours at present is available per week. The market for the two models has been surveyed which suggests maximum weekly sale of 600 units of ordinary and 400 units of auto-cut. Profit per unit for ordinary and auto-cut models has been estimated at Rs 100 and Rs 150 respectively. Formulate the linear programming problem.
• A company produces two types of products say type A and B. Profits on the two types of product are Rs 30/- and Rs 40/- per kg respectively. The data on resources required and availability of resources are given below. RequirementsCapacity available per monthProduct AProduct BRaw material (kgs)6012012000Machining hours/piece85600Assembling (man hours)34500Formulate this problem as a linear programming problem to maximize the profit.
• A company produces two types of pens A and B. Pen A is of superior quality and pen B is of lower quality. Profits on pens A and B are Rs 5 and Rs 3 per pen respectively. Raw materials required for each pen A is twice as that of pen B. The supply of raw material is sufficient only for 1000 pens per day. Pen A requires a special clip and only 400 such clips are available per day. For pen B, only 700 clips are available per day. Formulate this problem as a linear programming problem.
• The research department of Hindustan Ltd. has recommended paying the marketing department to launch a shampoo of three different types. The marketing types of shampoo to be launched under the following estimated pay-offs for various levels of sales.Types of ShampooEstimated Sales (in Units)15000100005000Egg Shampoo301010Clinic Shampoo40155Deluxe Shampoo55203What will be the marketing manager’s decision if (i) Maximin and (ii) Minimax principle applied?
• The cells in the transportation problem can be classified as _______ (a) assigned cells and empty cells (b) allocated cells and unallocated cells (c) occupied and unoccupied cells (d) assigned and unoccupied cells
• The transportation problem is said to be unbalanced if _______ (a) Total supply ≠ Total demand (b) Total supply = Total demand (c) m = n (d) m + n – 1
• In an assignment problem the value of decision variable xij is _______ (a) 1 (b) 0 (c) 1 or 0 (d) none of them
• The objective function of transportation problem is to ________ (a) Maximize total cost (b) Minimize the total cost (c) Total cost should be zero(d) All the above
• Fill in the blanks. 1. In a transportation problem, we must make the number of ________ and _______ equal. 2. ______ or ______ are used to balance an assignment problem. 3. The method of finding an initial solution based on opportunity costs is called _______4. ________ occurs when the number of occupied squares is less than the number of rows plus the number of columns minus one. 5. Both transportation and assignment problems are members of a category of LP problems called ________ 6. In the case of an unbalanced problem, shipping cost coefficients of ______ are assigned to each dummy factory or warehouse.
• Decision theory is concerned with ________ (a) analysis of information that is available (b) decision making under certainty (c) selecting optimal decisions in sequential problem (d) All of the abov