Question: 1. Formulate as a linear program and solve using a proper analytical method the following problem: A farmer can buy two types of plant food,

1. Formulate as a linear program and solve using

1. Formulate as a linear program and solve using a proper analytical method the following problem: A farmer can buy two types of plant food, mix A and mix B. Each cubic metre of mix A contains 20 kg of phosphoric acid, 30 kg of nitrogen, and 5 kg of potash. Each cubic metre of mix B contains 10 kg of phosphoric acid, 30 kg of nitrogen and 10 kg of potash. The minimum monthly requirements are 460 kg of phosphoric acid, 960 kg of nitrogen, and 220 kg of potash. If mix A costs 30 per cubic metre and mix B costs 35 per cubic metre, how many cubic metres of each mix should the farmer blend to meet the minimum monthly requirements at a minimal cost? What is the cost

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