A) Summarize the above information in a useful table.

b) What are the decision variables? Pick a logical symbol for each one.

c) What is the objective function? Is this a maximization or a minimization problem?

d) What are ALL of the constraint equations?

e) It turns out that marketing vastly underestimated the price that they can sell Dr. Phil's Pick-Me-Up-I-Feel-Downâ?¢ snacks. If you had solved the above problem with a LP program, such as available with Excel, and had all of the information that it would provide, what information would you use and how would you use it? Use the applicable terms that we have learned.

Dr. Phil, a well-known TV talk show host and the most caring person in the U.S., cares about making as much money as possible. Besides his Oprah-like TV show, he sells books, videos, board games and Pick-Me-Up-I-Feel-Down™ snacks. Books sell for $22, board games for $34, the snacks at $2 per dozen, and videos for $30. Each of these products is sold at twice its costs. Books require 2 pounds of material per book, 1 cubic foot of space (Dr. Phil writes a lot), and 2 hours of assembly (they are made by hand). Videos require 0.5 cubic feet of space, 1 pound of material, and 1 hour of assembly. Board games need 3 pounds of material, 4 ...

Solution Summary

The useful tables and decision variables are examined. The objective functions and logical symbols are found.

A business student at Nowledge College must complete a total of 65 courses to graduate. The number of business courses must be greater than or equal to 23. The number of non-business classes must be greater than or equal to 20. the average business course requires a textbook costing $60 and 120 hours of study. Non-business cours

1. Solve the linear programming problem:
minimize z = x + y
subject to
x + 2y =< 40,
2x + y =<40,
x + y =<10,
x >= 0, y >=0
The corner points are: (0, 10), (0, 20), (40/3, 40/3) (20, 0), (10, 0).

The Dean of the business college at Strayer University wants to forecast the number of students who will enroll in business courses at the Charleston SC campus. Historically the enrollments have been:
Year Students
1 400
2 450
3

State the dual of the following linear programming problem.
Minimize w = 5y_1 + 8y_2
Subject to: 2y_1 5y_2 ≥ 9
2y_1 + 3y_2 ≥ 11
7y_1 + 2y_2 ≥ 5
With y_1 ≥ o, y_2 ≥ 0.
Please see attachment for better format.

1. Determine which of the following are linear equations and which are not linear equations. State the reason for your answer.
(a) x + y = 1000
(b) 3xy + 2y + 15z - 20 = 0
(c) 2xy + 4yz = 8
(d) 2x + 3y 4z = 6.

If T: U â?' V is any linear transformation from U to V and B = {u 1, u 2, ..., u n} is a basis for U, then set T(B) = {T(u 1), T(u 2), ... T(u n)}
a. spans V
b. spans U
c. is a basis for V
d. is linearly independent
e. spans the range of T

Given the following linear programming problem:
Min Z = 2x + 8y
Subject to (1) 8x + 4y is greater than or equal to 64
(2) 2x + 4y is greater than or equal to 32
(3) y is greater than or equal to 2
What is the minimal solution?

What is the profit for the linear program problem below?
MaximizeP = 5X + 10Y
Subject to
X >=2 (Resource A)
3Y <=18 (Resource B)
- 3X + 3Y >=6 (Resource C)
where X , Y >=0
A. Unbounded
B. 50
C. 70
D. 80
F. 85

See attach for problem.
The linear programming problem. Minimize 5x - y subject to:
-2x - 2y < 12
-3x + 2y > 0
x > 0, y > 0
is equivalent to the linear programming problem:
a. Maximize 5x - y subject to:
-2x -2y < 12
3x - 2y < 0
x > 0, y > 0
b. Maximize 5x-y subject to:
-2x -2y