A farmer needs to buy upto 25 cows for a new herd. He can buy either brown
cows (x) at $50 each or black cows (y) at $80 each and he can spend a total of
no more than $ 1600. He must have at least 9 of each type .
Write the inequalities and clearly mark the region which satisfies all the given
conditions.
On selling the cows, he makes a profit of $50 on each brown cow and $60 on
each black cow. How many of each sort should he buy for maximum profit ? [ 5]
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Answer:
5x + 8y ≤ 160
Step-by-step explanation:
x+y ≤ 25
x ≥ 9
y ≥ 9
50x + 80y ≤ 1600
Simplified: 5x + 8y ≤ 160
(≤ is less than or equal to, ≥ is greater than or equal to.)
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