explain why a linear programming model would be suitable for this case study. Formulate a Linear Programming (LP) model for the factory that minimises the total cost of producing the cheese while satisfying all constraints.
xa 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 30 60 40 5 b 80 40 70 8 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.
Formulate a Linear Programming (LP) model for the factory that minimises the total
cost of producing the cheese while satisfying all constraints.
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