A manufacturer makes two products, A and B . Product A sells at ` 200 per unit and takes…

Mathematics · Class 12 · CBSELinear Programming

A manufacturer makes two products, A and B. Product A sells at ` 200 per unit and takes 30 minutes to make. Product B sells at ` 300 per unit and takes
1 hour to make. There is a permanent order of 14 units of product A and 16 units of product B. A working week consists of 40 hours of production and the weekly turnover must not be less than ` 10000 If the profit on each of product A is ` 20 and on product B is ` 30, then how many product A and B respectively should be produced so that the profit is maximum? Also, find the maximum profit.
  1. 14, 33, ` 1270
  2. 26, 16, ` 1500
  3. 48, 16, ` 1440
  4. 14, 24, ` 1000

Answer

(C) 48, 16, ` 1440

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