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Bogue Inc. produces four unique items: A, B, C and D. Information relating to the products and resources as outlined below: A B D Sales price $4.00 $3.00 $4.80 $6.40 $2.40 Material costs $1.60 $1.20 $3.60 Direct labour cost $1.20 $0.80 $0.60 $1.60 Machine time 4 2 3 2 Labour time 1 2 Monthly demand 4.000 4.000 5.000 3.000 Note: machine and labour time above are stated in minutes Machine time is a bottleneck resource and maximum capacity 800 machine hour Operating cost which includes direct labour costs are $14.400 per months. The direct labour costs are $10 per hour Required: (13 marks) a Determine the profit maximizing outputs and the maximum profit. (2 marks) Calculate the TPAR at this profit maximizing output