Hoth
Suppliers is a small manufacturer of 3 types of popular battle
vehicles: the powerful At-At Walker, the fast Snow Speeder, and the
lovable Tauntaun. Hoth Suppliers sells these vehicles to inhabitants on
the war torn planet of Hoth (There are hardly any planets that are
peaceful given the resistance from the Rebels against the Empire).
The
manufacturing process consists of 4 principal departments: assembly,
finishing, equipping, and feeding. The assembly department has 12
skilled droids, each of whom works 7 hours per day. The finishing
department has 3 heavy duty droids, who also work a 7-hour shift each. The
equipping department has 10 light duty droids who work 3 hours a day.
And the feeding department is run by two nutrition specialists working
5 hours a day.
The production requirements for each vehicle are given in the table below, along with their
profit
margins. Because of the
popularity of its products and limited
production capacity (and it's Episode V), its products are in high
demand, and Hoth can sell all it can produce each season. The company
anticipates selling at least twice as many Snow Speeders as At-At
Walkers.
How many of each
vehicle should Hoth produce to maximise its profit? |
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