A manufacturer of small kitchen appliances has the following unit costs for labor and materials for three of its products: a blender, a mixer, and a food processor.

Furthermore, the quarterly demand for each appliance is summarized as follows.

(a) Identify matrices and use their product to find the quarterly costs for labor and materials for these appliances. What are the first quarter's labor costs?
(b) From part (a), let C be the 2 × 3 cost matrix and let D be the 3 × 4 demand matrix. Let T be a 4 × 1 matrix in which each entry is a 1. Find the product CDT and tell what it represents.

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Blender Mixer Food Proc. Labor Materials $8.50 $6.00 $5.50 $4.00 $12.00 $15.00 2nd Qtr 3rd Qtr 1500 1000 400 4th Qtr Blender Mixer Food Proc. 1st Qtr 1200 1200 500 1500 1000 500 2000 1500 1000