1. A cheese factory is making a new cheese from mixing two products A and B, each made ofthree different types of milk - sheep, cow and goat milk. The compositions of A and Band prices ($/kg) are given as follows,Amount (litres) per 1000 kg of A and BSheep Cow Goat Cost ($/kg)A 30 60 40 5B 80 40 70 8The recipes for the production of the new cheese require that there must be at least 45litres Cow milk and at least 50 litres of Goat milk per 1000 kg of the cheeserespectively, 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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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 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.
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