Help w/ Inequalities Question (32)?

Help w/ Inequalities Question (32enter image source here )?
a graph should be drawn as well

1 Answer
Nov 7, 2017

See below.

Explanation:

Calling

#n_A = # number of model #A# pieces
#n_B = # number of model #B# pieces.

we have the restrictions

#2.5 n_A +3 n_B le 4000#
#2 n_A + 1 n_B le 2500#

and the objective function to be maximized

#f = 50 n_A + 52 n_B#

Attached the feasible region in light blue, and the situation for the solution line

#f_(max) = 50n_(A_max)+52 n_(B_max)# in red

The maximum point is #n_(X_max) = 1000, n_(Y_max) = 500# with #f_max = 76000#

enter image source here