1. A distillery produces two types of alcohol for filling and distributing, the regular beer and the premium beer. A batch of regular costs $375 to manufacture and a container of the Premium beer costs $420. The manufacturer wishes to establish the weekly production plan that minimizes cost. Production of these products is limited to processing, testing and material. Each batch of regular beer requires 4 hours processing whereas each batch of premium requires 2 hours of processing. Further each batch of regular requires 4 hours of testing compared to 6 hours of testing for a batch of Super. A batch of regular and a batch of Super each require 1 litre of material. Processing and testing have a maximum of 100 and 180 hours available and the total material available is 40 litres. Because of an agreement, the sales of regular beer are limited to a weekly maximum of 20 batches and to honour an agreement with a loyal distributor, at least 10 batches of premium beer must be sold each week. a) Determine the optimum product mix of premium beer and regular beer By constructing and graphically solving an appropriate linear programming model
1. A distillery produces two types of alcohol for filling and distributing, the regular beer
and the premium beer. A batch of regular costs $375 to manufacture and a container of the
Premium beer costs $420. The manufacturer wishes to establish the weekly production plan that
minimizes cost. Production of these products is limited to processing, testing and material.
Each batch of regular beer requires 4 hours processing whereas each batch of premium requires 2 hours of
processing. Further each batch of regular requires 4 hours of testing compared to 6 hours of testing
for a batch of Super. A batch of regular and a batch of Super each require 1 litre of material.
Processing and testing have a maximum of 100 and 180 hours available and the
total material available is 40 litres. Because of an agreement, the sales of regular beer are
limited to a weekly maximum of 20 batches and to honour an agreement with a loyal
distributor, at least 10 batches of premium beer must be sold each week.
a) Determine the optimum product mix of premium beer and regular beer By constructing and graphically solving an appropriate linear programming model
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