Question

(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0) and (x,y) = (0,50) O c.(x,y) = (0,5) and (x,y) = (6,0) O d. (x,y) = (5,0) and (x,y) = (0,6) Refer to Example 18.1 above. (ii) Consider the line that is intersecting both X- and y-axes) in the drawing below as the line for the constraint 5x + 6y > 250. Which side of the line should be shaded out.as the unwanted region? Reminder. You could check if the origin satisfies the inequality Select one: o a (0,0) O b. (0,0) Refer to Example 18.1 above. (iii) Find the intersection of the two lines that are for the constraints 5x + 6y 250 and X + 2y 270 Select one: a. (x, y) = (25, 20) b. (x, y) = (20.25) O c. (x, y) = (6. 10) d. (x, y) = (10.6)

Answer 1