Question

QUESTION 28 3 A rectangular poster is to have an area of 240 in with 2 inch margin at the bottom and sides and a 3 inch margin at the top. Find the exact dimensions of the poster that will give the largest printed area. width x length = ✓ 192 x 300 width x length = 12 x 20 width x length = 182 x 300 О width x length = V209 7320 O width x length = 10 x 24

Answer 1

DEN leb=240 B A Now we Let A B C D be the poster 1 with length is l and breadth is b IL Then Area = b eno we have to printed a poster with 2 inch margin at the bottom and sides and 3 inch margin at top So Area of brinted region lxb' where l = (B-4) (l-5) let f(1) = (6-4) CR-5) have to maximize the area of Shaded region fill) b=240 fle) (240-4) (1-5) lo (2004) + (-200 g (1-5) fill) =o 240 t4 - suolal + 5x quo. 4 p2 5x240 s e = 300 e = 1300 So for Maximum, full) Lo so froll) a 4+ 5x240 f" (l) 2000 So at l = $300, f"1 to so at 2 = 1300 the poster has maximum area from i lob=240 b - 240 240 (240x Bag t √192 Boso 244 So Dimension = 300 x 1192 S 12 스