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BioFoods Ltd. needs to transport 7000m 3 of cargo that needs to be held in a cool space at temperature of -5C 0 , as well as 7500m 3 of cargo with no special storage requirements. They turn to the transport company MoveUs Ltd. that operates two types of vehicles. Vehicle A has cooling capacity of 45 m³ and a non-cooling capacity of 75 m³, while Vehicle B has cooling capacity of 55 m³ and a non-cooling capacity of 65 m³. The rental price for vehicle A is $60, and the rental price for vehicle B is $75. BioFoods Ltd. aims to minimise its transport costs.
Perform the following:
a) Define the decision variables in the problem.
b) Construct the objective function of BioFoods Ltd.
c) State the constraints of the problem.
d) Find how many vehicles of each type BioFoods Ltd. should rent to minimise costs.
e) Discuss the final solution of the task from part d.
Show your steps of calculation in detail, along with a graphical interpretation of the problem and its solution.
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