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An Engineering workshop allocates its staff into four categories: Designer, Joiner. Painter and Assembler. It is estimated that the time spent on their main products

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An Engineering workshop allocates its staff into four categories: Designer, Joiner. Painter and Assembler. It is estimated that the time spent on their main products in hours are as follows: Product I Product 2 Product 3 Designer 6 4 2 Joiner 4 3 Painter 2 2 2 Assembler l 4 3 The wages. pension contribution and overheads in dollars per hour are known to be: Designer .Ioiner Painter Assembler Wages 1D 1 [l 22 21 Pensions 3 4 3 2 lUserheads l [I (I l i] Represent the above information on time spent {matrix T) and cost (matrix C} on each product {Product 11 Product 2, Product 3] as two matrices. [1|] marks] ii] Find the total time spent by each staffto produce each product. [1|] marks] iii] Use matrix multiplication to find the total cost in dollars of producing each product and total cost. [1|] marks]

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