LP Formulation:

Given data:

Method Grade 6 Grade 8 Grade 10 Cost ($)

1

2

0.2

0.3

0.2

0.3

0.6

0.4

3.40

3.00
3 0.4 0.4 0.2 2.60

Let Wa,Wb,Aa and Ab be the pounds of wheat and alfalfa used to produce feed sold at discount price.

Let W1,W2,A1 and A2 be the pounds of wheat and alfalfa used to produce feed sold at non-discounted price.

The objective is to maximize Feedco’s profit.

Profit = (cost/lb) (pounds of wheat and alfalfa feed 1 sold at non-discounted price) + (cost/lb) (pounds of wheat and alfalfa feed 2 sold at non-discounted price) + (cost/lb) (pounds of wheat and alfalfa feed 1 sold at discounted price) + (cost/lb) (pounds of wheat and alfalfa feed 2 sold at discounted price) – (cost/lb) (total pounds of wheat purchased) – (cost/lb) (total pounds of alfalfa purchased)

Profit= 1.5(W1+A1)+1.3(W2+A2)+1.25(Wa+Aa)+1(Wb+Ab)−0.5(W1+W2+Wa+Wb)−0.4(A1+A2+Aa+Ab)

Thus, the objective function is,

Maximize

z= 1.5(W1+A1)+1.3(W2+A2)+1.25(Wa+Aa)+1(Wb+Ab)−0.5(W1+W2+Wa+Wb)−0.4(A1+A2+Aa+Ab)

The following constraints are,

Constraints 1: At most, 300lb of feed 1 can be sold.

(Pounds of wheat produce feed 1) + (Pounds of alfalfa produce feed 1) ≤300

Wa+Aa≤300

Constraint 2: At most, 300lb of feed 1 can be sold.

(Pounds of wheat produce feed 2) + (Pounds of alfalfa produce feed 2) ≤300

Wb+Ab≤300

Constraint 3: At most, 1000lb of wheat can be purchased.

(Pounds of wheat used to produce feed 1) + (Pounds of wheat used to produce feed 2) ≤1000

W1+W2+Wa+Wb≤1000

Constraint 4: At most, 800lb of alfalfa can be purchased

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3, Problem 13RP

Chapter 3, Problem 15RP

Students have asked these similar questions

3. Problem Description: Define the Circle2D class that contains: Two double data fields named x and y that specify the center of the circle with get methods. • A data field radius with a get method. • A no-arg constructor that creates a default circle with (0, 0) for (x, y) and 1 for radius. • A constructor that creates a circle with the specified x, y, and radius. • A method getArea() that returns the area of the circle. • A method getPerimeter() that returns the perimeter of the circle. • • • A method contains(double x, double y) that returns true if the specified point (x, y) is inside this circle. See Figure (a). A method contains(Circle2D circle) that returns true if the specified circle is inside this circle. See Figure (b). A method overlaps (Circle2D circle) that returns true if the specified circle overlaps with this circle. See the figure below. р O со (a) (b) (c)< Figure (a) A point is inside the circle. (b) A circle is inside another circle. (c) A circle overlaps another…

1. Explain in detail with examples each of the following fundamental security design principles: economy of mechanism, fail-safe default, complete mediation, open design, separation of privilege, least privilege, least common mechanism, psychological acceptability, isolation, encapsulation, modularity, layering, and least astonishment.

Security in general means the protection of an asset. In the context of computer and network security, explore and explain what assets must be protected within an online university. What the threats are to the security of these assets, and what countermeasures are available to mitigate and protect the organization from such threats. For each of the assets you identify, assign an impact level (low, moderate, or high) for the loss of confidentiality, availability, and integrity. Justify your answers.

Chapter 3 Solutions

Operations Research : Applications and Algorithms

Ch. 3.1 - Prob. 1P Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.2 - Prob. 1P Ch. 3.2 - Prob. 2P Ch. 3.2 - Prob. 3P Ch. 3.2 - Prob. 4P Ch. 3.2 - Prob. 5P

Ch. 3.2 - Prob. 6P Ch. 3.3 - Prob. 1P Ch. 3.3 - Prob. 2P Ch. 3.3 - Prob. 3P Ch. 3.3 - Prob. 4P Ch. 3.3 - Prob. 5P Ch. 3.3 - Prob. 6P Ch. 3.3 - Prob. 7P Ch. 3.3 - Prob. 8P Ch. 3.3 - Prob. 9P Ch. 3.3 - Prob. 10P Ch. 3.4 - Prob. 1P Ch. 3.4 - Prob. 2P Ch. 3.4 - Prob. 3P Ch. 3.4 - Prob. 4P Ch. 3.5 - Prob. 1P Ch. 3.5 - Prob. 2P Ch. 3.5 - Prob. 3P Ch. 3.5 - Prob. 4P Ch. 3.5 - Prob. 5P Ch. 3.5 - Prob. 6P Ch. 3.5 - Prob. 7P Ch. 3.6 - Prob. 1P Ch. 3.6 - Prob. 2P Ch. 3.6 - Prob. 3P Ch. 3.6 - Prob. 4P Ch. 3.6 - Prob. 5P Ch. 3.7 - Prob. 1P Ch. 3.8 - Prob. 1P Ch. 3.8 - Prob. 2P Ch. 3.8 - Prob. 3P Ch. 3.8 - Prob. 4P Ch. 3.8 - Prob. 5P Ch. 3.8 - Prob. 6P Ch. 3.8 - Prob. 7P Ch. 3.8 - Prob. 8P Ch. 3.8 - Prob. 9P Ch. 3.8 - Prob. 10P Ch. 3.8 - Prob. 11P Ch. 3.8 - Prob. 12P Ch. 3.8 - Prob. 13P Ch. 3.8 - Prob. 14P Ch. 3.9 - Prob. 1P Ch. 3.9 - Prob. 2P Ch. 3.9 - Prob. 3P Ch. 3.9 - Prob. 4P Ch. 3.9 - Prob. 5P Ch. 3.9 - Prob. 6P Ch. 3.9 - Prob. 7P Ch. 3.9 - Prob. 8P Ch. 3.9 - Prob. 9P Ch. 3.9 - Prob. 10P Ch. 3.9 - Prob. 11P Ch. 3.9 - Prob. 12P Ch. 3.9 - Prob. 13P Ch. 3.9 - Prob. 14P Ch. 3.10 - Prob. 1P Ch. 3.10 - Prob. 2P Ch. 3.10 - Prob. 3P Ch. 3.10 - Prob. 4P Ch. 3.10 - Prob. 5P Ch. 3.10 - Prob. 6P Ch. 3.10 - Prob. 7P Ch. 3.10 - Prob. 8P Ch. 3.10 - Prob. 9P Ch. 3.11 - Prob. 1P Ch. 3.11 - Show that Finco’s objective function may also be...Ch. 3.11 - Prob. 3P Ch. 3.11 - Prob. 4P Ch. 3.11 - Prob. 7P Ch. 3.11 - Prob. 8P Ch. 3.11 - Prob. 9P Ch. 3.12 - Prob. 2P Ch. 3.12 - Prob. 3P Ch. 3.12 - Prob. 4P Ch. 3 - Prob. 1RP Ch. 3 - Prob. 2RP Ch. 3 - Prob. 3RP Ch. 3 - Prob. 4RP Ch. 3 - Prob. 5RP Ch. 3 - Prob. 6RP Ch. 3 - Prob. 7RP Ch. 3 - Prob. 8RP Ch. 3 - Prob. 9RP Ch. 3 - Prob. 10RP Ch. 3 - Prob. 11RP Ch. 3 - Prob. 12RP Ch. 3 - Prob. 13RP Ch. 3 - Prob. 14RP Ch. 3 - Prob. 15RP Ch. 3 - Prob. 16RP Ch. 3 - Prob. 17RP Ch. 3 - Prob. 18RP Ch. 3 - Prob. 19RP Ch. 3 - Prob. 20RP Ch. 3 - Prob. 21RP Ch. 3 - Prob. 22RP Ch. 3 - Prob. 23RP Ch. 3 - Prob. 24RP Ch. 3 - Prob. 25RP Ch. 3 - Prob. 26RP Ch. 3 - Prob. 27RP Ch. 3 - Prob. 28RP Ch. 3 - Prob. 29RP Ch. 3 - Prob. 30RP Ch. 3 - Graphically find all solutions to the following...Ch. 3 - Prob. 32RP Ch. 3 - Prob. 33RP Ch. 3 - Prob. 34RP Ch. 3 - Prob. 35RP Ch. 3 - Prob. 36RP Ch. 3 - Prob. 37RP Ch. 3 - Prob. 38RP Ch. 3 - Prob. 39RP Ch. 3 - Prob. 40RP Ch. 3 - Prob. 41RP Ch. 3 - Prob. 42RP Ch. 3 - Prob. 43RP Ch. 3 - Prob. 44RP Ch. 3 - Prob. 45RP Ch. 3 - Prob. 46RP Ch. 3 - Prob. 47RP Ch. 3 - Prob. 48RP Ch. 3 - Prob. 49RP Ch. 3 - Prob. 50RP Ch. 3 - Prob. 51RP Ch. 3 - Prob. 52RP Ch. 3 - Prob. 53RP Ch. 3 - Prob. 54RP Ch. 3 - Prob. 56RP Ch. 3 - Prob. 57RP Ch. 3 - Prob. 58RP Ch. 3 - Prob. 59RP Ch. 3 - Prob. 60RP Ch. 3 - Prob. 61RP Ch. 3 - Prob. 62RP Ch. 3 - Prob. 63RP

Knowledge Booster