CS 373 Quiz: CS 373 Binghamton Quiz1f03 sol post

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Math 1030 quiz #4a (june 16th, 2010: bob"s store sells a lot of ice cream bars. In fact, bob plans on selling 15000 bars this year. Suppose that bob pays per bar and to get a shipment delivered. Bob has also estimated that his inventory costs are sh. 85 per bar per year (base inventory costs on the average with all the standard assumptions). C(x) = 2(15000) + 0. 85(cid:16) x x (cid:19) We punch in derivative of 2(15000)+0. 85(x/2)+60(15000/x) into wolfram alpha and scroll down. Alpha found that the derivative has roots 1455. 21. Throwing out the negative number we get that our ideal economic order quantity is x = 1455. 21. So we enter 2(15000)+0. 85(x/2)+60(15000/x) at x=1455. 21 into alpha and get 31236. 90. His minimal annual cost is ,236. 90: when bob charges he usually sells 20 bars in a day. On the other hand, if bob charges he usually sells 45 bars in a day.

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