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5. Humbug Hammocks produces two types of hammocks: the Asymmetric Hammock and the Bridge Hammock. The Asymmetric Hammock has a contribution margin of $120 and
5. Humbug Hammocks produces two types of hammocks: the Asymmetric Hammock and the Bridge Hammock. The Asymmetric Hammock has a contribution margin of $120 and the Bridge Hammock has a contribution margin of $260. The resources required to make the hammocks are sewing hours and a special fabric called M50 with a finish that stops the fabric from ripping. Each product uses these resources in the following quantities Bridge Asymmetric 7 10 Sewing hours M50 fabric (metres) Humbug can only get access to 500 square metres of M50 fabric per month. The company has two experienced sewing staff who can put in a maximum of 400 hours per month (total for the two people). To keep inventories at a minimum, Humbug does not want to produce any more than the monthly demand of 30 units for the Asymmetric Hammock and 20 units of the Bridge Hammock Management would like to determine the best product manufacturing mix to maximize contribution margin. Which of the following linear programs describes this objective (A represents the Asymmetric Hammock and B the Bridge Hammock)? a) Maximize $120A $260B Subject to 7A15B 500 0A14B s 400 A 30; B 20 A 0: B 0 b) Maximize $120A $260B Subject to 7A15B S 400 10A 14B500 A 30: B 20 A 0: B 0 c) Maximize $120A $260B Subject to 7A10BS 400 15A 14B 500 A 30: B 20 d) Maximize $120A $260B Subject to 7A15B 400 0A14B s 500 A 30; B 20
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