Linear programming questions | form four Basic Mathematics

A certain secondary school intends to buy two types of Basic Mathematics reference books. The school wants between 10 and 15 books (inclusive) of author A which cost 8,000/= each. Books from author B cost I 0,000/= each. If the school has 240,000/=, what is the maximum number of books can the school buy?

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UNSOLVED

Two types of products namely A and B are manufactured on machines M1 and M2. The following table shows the requirements for the production of these products.

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UNSOLVED

A small industry makes two types of clothes namely type A and type B. Each type A takes 3 hours to produce and uses 6 metres of material and each type B takes 6 hours to produce and uses 7 metres of material. The workers can work for a total of 60 hours and there is 90 metres of material available. If the profit on a type A cloth is 4,000 shillings and on a type B is 6,000 shillings, find how many of each type should be made for maximum profit.

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UNSOLVED

A school is preparing for trip of 360 students. The company providing the transport has 12 buses of 45 seats each and 8 buses of 30 seats each and has only 10 drivers available . The rental cost for a large bus is 648,000 shillings and 500,000 shillings for the small bus. How many buses each type should be used for minimum cost ?

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UNSOLVED

A farmer has 20 hectares for growing tomatoes and cabbages. The cost per hectare for tomatoes is sh 48,000 and for cabbages is sh 32,000. The farmer has budgeted sh 768,000. Tomatoes require one manday per hectare and   cabbages require two mandays per hectare. There are 36 mandays available. The profit on tomatoes is sh 160,000 per hectare and on cabbages is sh 192,000 per hectare. Find the number of hectares of each crop the farmer should plant to maximize the profit.

Answer / Solution

UNSOLVED