MIE376 Lec 1b - LP Problems.page5

# MIE376 Lec 1b - LP Problems.page5 - 17 A company makes two...

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Unformatted text preview: 17. A company makes two products: A and B. Below is a schedule of the demand for the next four weeks, and the resource requirements (labour hours, material and storage space) to produce each unit of A and B. The company has a labour force which can contribute 100 man- hrs per week at a regular Demand in number of units Per Unit Resource Re uirements Product Week 1 Week Week Week 4 Labour Material Storage labour rate of 12 \$ per 2 3 (hrs) (K ) (“13) hr, plus another 40 man- 20 20 30 20 hrs per week at the 30 10 20 overtime labour rate of 18 \$ per hr. The company has 800 Kg of material on hand and due to lead time constraints cannot obtain any more during the next 4 weeks. Up to 100 mt3 can be rented in a local warehouse at a rate of 2 \$ per mt3 per week. 18. Air Cargo is an airline company that provides cargo pickup and delivery services to local customers. It owns 22 planes each of which has been assigned to a home airbase. There are 5 such airbases. The planes all have the same capacity, but different operational costs. It cost ci \$/km to ﬂy plane i when empty, and di \$/km when ﬂying the same plane loaded. Every day the dispatcher starts the day with a given list of customer requests for pickup and delivery. Each individual request can be handled by a single plane, and the dispatcher only schedules the ﬁrst 22 requests. The remaining requests remain unsatisfied. A plane is allocated to each request, which then ﬂies empty from its base to the pickup location, loads the cargo, ﬂies to the delivery location, unloads the cargo, and ﬂies back empty to its home airbase before nightfall. A plane meets at most one customer request per day. All distances from each airbase to each pickup location, from each pickup to each delivery location, and from each delivery location back to the home airbase are readily available. Formulate a LP model that will minimize the operational costs for one day. Winston LP problems with a ﬁnancial ﬂavour: p.68,#10 p.8l#l-5 p.82#l-2 p.93#3-9, 12 p.108 #4 4 pp.ll3-ll4 #3, 5, 45, 49, 61,63 ...
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