Tutorial_LP1.docx - Question 2(25 points Mannar Company(M&C...

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Question 2 (25 points) Mannar & Company (M&C) is a Chennai-based sealant manufacturer, and they produce four different types of sealants namely: (i) Dental sealants; (ii) Paint Sealants; (iii) Hot wax; and (iv) Varnish. These sealants are made using three primary materials, namely: (a) Silicone (S); (b) Polysulphide (PS); and (c) Silane Modified Polymer (SMP). These ingredients are imported from Spain and due to unrest in Barcelona, M&C is experiencing a disruption in the supply of these materials. This prompts the CEO of M&C, Mr. Thangavelu to optimize the production plan for the month of November using the available inventory of ingredients. The following table provides demand requirements for various sealants during the month of November as well as the ingredients required (in grams) to produce one kilogram of every sealant. Sealant Quantity of ingredients required (in grams) per kg of sealant Demand for sealants (in kgs) Silicone Polysulphine SMP Dental 40 25 15 Exactly 400 Paint 30 26 18 320 (maximum) Hot Wax 60 56 26 520 (maximum) Varnish 19 22 30

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