The maximum profit will be 956 birrs for both cows and sheep.
What is profit?
The amount of money earned by any seller on the cost price is called the profit.
Given that:-
- A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50.
From the given data we can see that the total number of animals cows and sheep is 16.
C + S = 16
To raise a cow need 2 Br
To raise Sheep need 5 Br
The number of sheep is 12 and cows 4.
So the amount required to raise sheep and cows is:-
Sheeps = 12 x 2 = 24 Br
Cows = 4 x 5 = 20 Br
Total = 44 Br
The selling price of cows and sheep are 100 and 50 Br.
Cows = 100 x 4 = 400Br
Sheeps = 50 x 12 = 600 Br
Total = 1000 Br
So the profit will be calculated as follows:-
P = 1000 - 44 = 956 Br
Therefore the maximum profit will be 956 birrs for both cows and sheep.
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