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PDF 27.20 KB 4 pages Jul 23, 2026
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LINEAR PROGRAMMING ITEM S Item 2 A school constructed an office block which required 34 tonnes of sand. The school hired a lorry and a tipper truck with capacities of 7 tonnes an d 5 tonnes respectively to transport the sand. The cost per trip either by lorry or by tipper truck was shs30,000. The money available for transformation was shs180,000. The trips made by the lorry did not exceed those made by the tipper truck. a) If x and y represent the number of trips made by the lorry and the tipper truck respectively; (i) Write down five inequalities to represent the given information. (ii) Plot these inequalities on the same axes, shading the unwanted regions. b) (i) From your grap h in (a)(ii) above. List all the possible numbers of trips that each vehicle can make so as to maximise the total tonnage of sand transported. (ii) Find the number of trips by each vehicle that made the greatest total tonnage. Item 2 You are in a management committee that is organizing a fare well party. The committee wants to establish the number of people to attend the party keeping the cost as minimum as possible. You have been assigned a department of drinks which has a maximum amount of UGX. 450,000. you are planning to buy creates of soda and Jerrycans of juice Each create of soda costs UGX 20,000, a Jerrycan of juice is UGX. 30, 000. You intend to buy more creates of soda than Jerrycans of juice. The Jerrycans of juice should be more than 6 and the creates of soda should be less than 12. Each person will be served only one type of drink once and in the budget 24 students are to take a create of soda and 20 students are …
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Linear Programming Items, is an educational document on StudyUganda.com. This resource includes: "LINEAR PROGRAMMING ITEM S Item 2 A school constructed an office block which required 34 tonnes of sand. The school hired a lorry and a ……" (Format: PDF) — 27.20 KB, 4 pages. Added July 23, 2026.

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