Answer to Question #6482 in Matrix | Tensor Analysis for Abdul-Lateef

Question

A business centre markets ladies wares and shoes of two brands, A and B, consisting of a shirt, cap and a pair of shoes. The cost in thousands of naira of brand A and B are N6000 for a shirt, N4000 for a cap and N3000 for a pair of shoes. 3 customers (c1, c2 and c3) demanded for the following combinations of brands: c1 demanded for 36 kits of brand A and 40 kits of brand B. c2 demanded for 24 kits of brand A and 70 kits of brand B. c3 demanded for 40 kits of brand A only.
Express the cost of brand A and B in matrix form. Express the demand of the 3 customers in matrix form. Determine the cost incurred by each customer using Crammer's rule and Matrix Inversion technique. Thank you