1. A cheese factory is making a new cheese from mixing two products A and B, each made of three different types of milk - sheep, cow and goat milk. The compositions of A and B and prices ($/kg) are...

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1. A cheese factory is making a new cheese from mixing two products A and B, each made of
three different types of milk - sheep, cow and goat milk. The compositions of A and B
and prices ($/kg) are given as follows,
Amount (litres) per 1000 kg of A and B
Sheep Cow Goat Cost ($/kg)
A XXXXXXXXXX
B XXXXXXXXXX
The recipes for the production of the new cheese require that there must be at least 45
litres Cow milk and at least 50 litres of Goat milk per 1000 kg of the cheese
respectively, but no more than 60 litres of Sheep milk per 1000 kg of cheese.
The factory needs to produce at least 60 kg of cheese per week.
a) Explain why a linear programming model would be suitable for this case study.

Answered 110 days After Jun 07, 2022

Solution

Robert answered on Sep 26 2022

64 Votes

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1. A cheese factory is making a new cheese from mixing two products A and B, each made of three different types of milk - sheep, cow and goat milk. The compositions of A and B and prices ($/kg) are...

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