1. A farm is engaged in breeding pigs. The pigs are fed on various products grown on the farm. In view of the need to ensure certain nutrient constituents, it is necessary to buy two products, say A and B, in addition. The contents of various products, per unit, in nutrient constituents are given in the following table:

If product A costs Rs. 20 and B Rs. 40 per unit, how much each of these two products should be bought so that total cost is minimized?

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Nutrients Nutrient Content in Product Minimum amount of nutrient required A B M1 36 6 108 M2 3 12 36 M3 20 20 10 100