Find the intercept of the regression line Y = 1 + bX if its slope is 0.65 associ

Question

Find the intercept of the regression line Y = 1 + bX if its slope is 0.65 associated with the following data Discuss Hie optimality ( maximization ) of the objective function: z = 2x + 3y at the corner points of the given .shaded feasible region OABC. It is also provided that the objective function subjects to the following constraints 2x + y = 4 x + 2y = 5 x, y = 0

Explanation / Answer

part 2) coordinates of A are (0,5/2) (y coordinate is found using the eqn. x+2y =5) coordinate of C are (2,0) (x coordinate is found using the eqn. 2x+y = 4) coordinates of B are obtained by solving 2x + y = 4 ...eqn1 x+ 2y = 5 =>2x + 4y = 10 ..eqn2 using eqn1 and eqn2 we get 3y = 6 => y = 2 and x = 1 so, coordinates of B are (1,2) objective function is given by z = 2x + 3y checking z on A z = 2*0 + 3*5/2 = 7.5 checking z on B z = 2*1 + 3*2 = 8 checking z on C z = 2*2 + 3*0 = 4 checking z on origin z =0 so, maximum value occurs at B max of z = 8

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