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Question: Suppose a furniture company has factories in Vernon and Penticton. An order for 45 sofas, 45 chairs, and 35 loveseats is placed. The order is split between the two factories according to the following table: Production Matrix Sofas Chairs Loveseats Vernon 15 25 15 Penticton 30 20 20 The production of sofas, chairs, and loveseats requires pieces of framing, yards of fabric, and cubic feet of stuffing according to the following table: Activity Matrix Framing (pieces) Fabric (yards) Stuffing (ft3) Per Sofa 35 52 36 Per Chair 21 26 18 Per Loveseat 28 39 27 The cost per unit of framing, yard of fabric, and cubic foot of stuffing is given in the table below: Cost Matrix Unit Cost Framing 5.75 per piece Fabric 6.00 per yard Stuffing 3.50 per ft3 Use matrix multiplcation to give the required quantities of framing pieces, yards of fabric, and cubic feet of stuffing in the two factory locations for this order.
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