US Labs manufactures mechanical heart valves from the heart valves of pigs. Diff
ID: 464538 • Letter: U
Question
US Labs manufactures mechanical heart valves from the heart valves of pigs. Different heart operations require valves of different sizes. US Labs purchases pig valves from three different suppliers. The cost and size mix of the valves purchased from each supplier are:
Each month, US Labs places one order with each supplier. At least 500 large, 300 medium, and 300 small valves must be purchased each month. Because of limited availability of pig valves, at most 500 valves per month can be purchased from each supplier. Formulate a Linear Program (LP) than can be solved to minimize the cost of acquiring the needed valves. Please give a detailed answer. Thanks in advance.
Contents Cost per Valve Percent Large Percent Medium Percent Small Supplier 1 $5 $40 $40 $20 Supplier 2 $4 $30 $35 $35 Supplier 3 $3 $20 $20 $60Explanation / Answer
Month
Demand Production Beg Inv End inv shortage Stockout cost Inv holding cost Jan 1500 1800 200 500 0 0 10000 Feb 1700 1800 500 600 0 0 12000 Mar 1700 1800 600 700 0 0 14000 Apr 1700 1800 700 800 0 0 16000 May 2300 1800 800 300 0 0 6000 Jun 2100 1800 300 0 0 0 0 Jul 1900 1800 0 0 100 10000 0 Aug 1500 1800 0 300 0 0 6000 total 14400 10000 64000 Avg 1800 Avg monthly demand requiremnt 1800 units Hence, monthlyproduction rate 1800 total cost ($) 74000Related Questions
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