A manufacturing firm produces two types of products: A & B. The units profit from product A is $120 and that of product B is $70. The goal of the firm is to earn a total profit of exactly $650 in the next week. Also, wants to achieve a sales volume for product A and B close to 5 and 4, respectively. Formulate this problem as a Goal programming model.

1. TORA Optimization System, Windows®-version 2.00
Copyright © 2000-2007 Hamdy A. Taha. All Rights Reserved
Friday, September 29, 2023 13:40
LINEAR PROGRAM -- ORIGINAL DATA
Title: q2
x1 x2
x1 x2
Maximize 2000.00
Maximize 4000.00
Maximize
Subject to
( 1) 11000.00 14000.00 <= 450000.00
( 2) -0.33 0.67 >= 0.00
Lower Bound 0.00 0.00
Upper Bound infinity infinity
Unrestr'd (y/n)? n n

2. LINEAR PROGRAMMING -- GRAPHICAL SOLUTION
Title: q2
Summary of Optimal Solution:
Objective Value = 128571.43
x1 = 0.00
x2 = 32.14
-4 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68
x1
-4
0
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
x2
Obj
( 1)
( 2)
Optimum