<<1.explain basic assumptions of linear programming>>

2.explain the implications of the assumptions

3.The County of Hillandale operates a small game park for the benefit of its residents, and to attract tourists during the summer . Among its many inhabitants is a pride of rare minilions . The County Recreation Board, and especially the curator of the game park, want to be sure that the animals' basic nutritional requirements are satisfied, but at the same time they do not want to spend more for their food than is necessary . Their necessary vitamins are provided in a supplement . Their daily diet must provide at least 500 units of protein and 960 units of mineral fiber . To keep the minilions from feeling hungry-and hence unhappy-they must be given at least 6 kilograms of food daily . There are also certain ceilings on the amounts of protein, mineral fiber, and total food provided, but we will assume that the objective of minimizing the total cost of feeding the minilions will keep the diet within the maximum allowable levels . The foods that they will be given are prime meat and ground bone meal . A kilogram of the bone meal provides 50 units of protein and 240 units of mineral fiber, and costs $1 per kilogram . A kilogram of prime meat provides 250 units of protein and 80 units of mineral fiber, and costs $2 per kilogram . The combined weight of the bone meal and the meat must be at least 6 kilograms . How many kilograms of each food type should be included in the diet of the minilions?

4}A toy manufacturing organization manufactures two types of toys A and B. Both the toys are sold at Rs.25 and Rs.20 respectively. There are 2000 resource units available every day from which the toy A requires 20 units while toy B requires 12 units. Both of these toys require a production time of 5 minutes. Total working hours are 9 hours a day. What should be the manufacturing quantity for each of the pipes to maximize the profits

5):The advertising alternatives for a company include television, newspaper and radio advertisements. The cost for each medium with its audience coverage is given below.

[su_table]

TelevisionNewspaperRadioCost per advertisement ($)2000600300Audience per advertisement100,00040,00018,000

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6.The local newspaper limits the number of advertisements from a single company to ten.Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio. And at least 10% should occur on television. The weekly advertising budget is $18,200. How many advertisements should be run in each of the three types of media to maximize the total audience?

7 discuss the aplications of linear programming ?

8.discuss limitations of linear programming

9.what are the key elements of linear programming

10.Beacon Co. is a manufacturer of washing machines. It currently sells two models of washing machines: the Arkel and the Kallex. At the start of every production cycle, Beacon must decide how many units of each washing machine to produce, given its available resources. In the coming production cycle, Beacon faces key resource constraints. In particular, it has only 3,132 hours of labour, 1,440 feet of rubber hosing, and 200 drums available.

11.Selling each Arkel unit earns the company a profit of $350 while selling each Kallex unit earns the company a profit of $300. At the same time, manufacturing each Arkel unit requires 18 hours of labour, 6 feet of rubber hosing, and 1 drum, while manufacturing each Kallex unit requires 12 hours of labour, 8 feet of rubber hosing, and 1 drum. Details of the relevant facts are summarised in the table "Summary of Production of Washing Machines".

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