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Product mix
The Ooze Haircraft Corporation make two brands of hair treatment:Volossy, which is
produced under licence, and its own products Sedina. The company is in dispute with
its supplier of colourant and solidifier as a result of which the supplier is no longer taking
their orders. An alternative source of supply cannot be arranged for a month and Ooze
must plan production for the month with their stock of 480 litres of colourant and 900
litres of solidifier. A bottle of Volossy requires 3 millilitres of colourant and 9 millilitres of
solidifier. A bottle of Sedina requires 4 millilitres of colourant and 6 millilitres of solidifier.
The licensing agreement restricts production of Volossy to no more than 60,000 bottles
a month and commitments to existing customers mean that at least 20,000 bottles of
Sedina must be produced. The company makes £0.40 profit per bottle of Volossy and
£0.20 profit per bottle of Sedina.
Formulate using LP and solve graphically
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