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The instructions and problems for an operations research assignment in the mth601 course during spring-2012. The assignment includes four problems that require understanding concepts from lectures 11 to 16, such as calculating optimum order quantities, economic lot sizes, and inventory carrying costs. Recommended books are suggested for clarification.
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Assignment: # 02 (Spring-2012) Mth601 (Operations Research) Lecture: 11– 16 Total Marks = 40 Due date: 30 th^ April, 2012 INSTRUCTIONS
Please read the following instructions before attempting to solve this assignment
1. In order to attempt this assignment you should have full command on Lecture # 11 to Lecture # 16 2. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in Lecture # 11 to Lecture # 16 3. You should concern recommended books for clarify your concepts as handouts are not sufficient. 4. Try to make solution by yourself and protect your work from other students. If we found the solution files of some students are same then we will reward zero marks to all those students. 5. You are supposed to submit your assignment in Word format any other formats like scan images, PDF format etc will not be accepted and we will give zero marks to these assignments. 6. If there is any problem in submitting your assignment through LMS, you can send your solution file through email with in due date. You are advised to upload your assignment at least two days before Due date. 7. Assignments through e-mail will be acceptable after (before uploading the solution file) due date but with deduction of 30% of obtained marks.
1) If in the Wilson’s Model, the set up cost instead of being fixed, is equal to C 2 + BQ ,where B is the set up cost per item produced, then show that there is no change in the optimum order quantity produced due to change in the set up cost. 2) An item is produced at the rate of 50 items per day. The demand occurs at the rate 25 items per day. If the set up cost is Rs.100 per set up and the holding cost is Rs.0.01 per unit of item per day, find the economic lot size for one run, assuming that the shortage are not permitted. 3) The demand of an item is uniform at a rate of 25 units per month. The fixed cost is Rs.15 each time a production is made. The production cost is Rs.1/ item, and the inventory carrying cost is Rs. 0.30/item/month. If the shortage cost is Rs.1.50/item/month, determine how often to make a production run and of what size it should be? 4) Group the items given below into an ABC classification.
Item no 3 4 2 1 7 8 6 5 9 10 Annual usage in x 103 Rs.