Question 1 (a) (a) Let X = the floor area allocated to each zone at SUSS Sports retail where i = 1,2,3... 11 Let Y,= the inventory area allocated to Cycling, Home gym, and Fitness sports zones respectively where j = 3, 6 & 8 And, 1 to 11 is Running, Water sports, Cycling, Racket sports, Team sports, Home gym, Winter sports, Fitness sports, Administrative Office, Checkout counters and Special Zone respectively Formulation of the LP model I Max. Z = 45X1 + 49X, + 52X3 + 51X, + 41X; + 44X; + 36X, + 50Xs + 1/8 (45X] + 49X, + 52X3 + 51X,+ 41X; + 44X; + 36X, + 50Xs) where Z is the total profit contributed by SUSS Sports s.t. Xi + Xq + X3 + X4 + Xs + X + X, + Xs + Xq + (1) Total usable space X10 + Xil = 7000*0.98 \\ Xit X + X; + X4 + Xs + X6 + X7 + Xs + Xq + Xio + Xn = 6860 X1: Xz Xj, X4, Xs, Xq X7. Xg >=600 (2) Each sports zones requires at 1 X1, X, Xi, X4. Xi, X6. X7, X: >= 600 least 600sqm Xi, Xz, X3, X4: Xs, X6 X7, Xs = 1.20X10 (6) Administrative office's floor area should be 20% more than Checkout counters's floor area XII =0 (8) Non negativity constraint