A's Shoes and B's Footwear both have outlets in city 1 and city 2. A's sells shoes for $90, sandals for $60, and boots for $120. B's prices are $40, $50, and $170 for shoes sandals, and boots, respectively. Half of all sales in city 1 stores are shoes,-are sandals, and-are boots. In city 2 the fractions are-shoes, sandals, and-boots. Complete parts (a) through (d) below (a) Write a 2x3 matrix called P representing prices for the two stores and three types of footwear. 4 4 (Type an integer or simplified fraction for each matrix element.) (b) Write a 3x 2 matrix called F representing the fraction of each type of footwear sold in each city (Type an integer or simplified fraction for each matrix element.) (c) Only one of the two products PF and FP is meaningful. Determine which one it is and calculate the product. Select the correct choice below and fill in the answer box to complete your choice (Type an integer or simplified fraction for each matrix element.) A. The product FPis meaningful B. The product PFis meaningful Describe what the entries represent. The (d) From the answer to part (c), what is the average price for a pair of footwear at an outlet of B's in city 1? a. give the average price per pair。 b. sold by each store, and the c. give the city