An animal feed company must produce exactly 200kg. Of mixture consisting of ingredients a and b. The ingredients a cost rs. 3 per kg. And b cost rs. 5 per kg. Not more than 80 per kg. Of a can be used and atleast 60kgs. Of b must be used. Find the minimum cost mixture.
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140 is the minimum cost mixture
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Cost of mixture = Rs 840
Step-by-step explanation:
An animal feed company must produce exactly 200kg. Of mixture consisting of ingredients a and b.
a + b = 200 kg
a ≤ 80
b ≥ 60
Cost = 3a + 5b
as Cost of a is less hence we must use maximum a
but Not more than 80 kg. Of a can be used
Hence a = 80 kg
b = 200 - 80 = 120 kg
Cost = 3 * 80 + 5 * 120
= 240 + 600
= 840
Cost of mixture = Rs 840
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