Please help me with this question please

[LIL2 63 2 4) DC8 A company has 4 locations 1, L2, La, L4 and sells 8 of the same products X1, X2, . .. . As at each location. Let P = [Pij] be the profit matrix where location Li. pay = the company's profit (in $1, 000's) when exactly one unit of product X, is sold at (a) If the company's profit from selling 7 units of product X2 at location L, is $84, 009, what is the value of the entry P4,2? 13 2 - 12 7 X 2 : 84, 000 [3 points] X2 = 84000- 12000 (b) State the matrix Q such that A = QP where A = [Al,j] and A1,j is the company's average the company. profit in dollars from selling exactly one unit of product X, at all of the 4 locations of [4 points] P = 4 x 8 matrix QP-DA 1. 40 . 4 . 8 2 . 4.8 matrix -> 4 x 7 LCL, X6 X13 Xu] 1x 2 1.8 = 4 [1 7 1 1 ) (c) State the matrices E and C so that the single entry in the matrix product EPCT is the total profit in dollars from selling exactly j units of product X, at all of the 4 locations of the company. [3 + 3 points] (d) State the matrices E and F such that the single entry in the matrix product EPF is the sum of all entries in the matrix P. [4 points]