Directions: Answer the following Linear Programing Problems using the simplex method. 1. Suppose a company manufactures three products from two raw materials where the amount of raw material in each unit of each product is given. Raw material I |Raw material II Product A 9 lb. 8 lb. Product B 6 lb. Product C 4 lb. 2 lb. 5 lb. If the company has available 150 pounds of raw material I and 200 pounds of raw material II, and if the profit for the three products are P250, P200, and P240, how much of each product should be produced in order to maximize profit?
Directions: Answer the following Linear Programing Problems using the simplex method. 1. Suppose a company manufactures three products from two raw materials where the amount of raw material in each unit of each product is given. Raw material I |Raw material II Product A 9 lb. 8 lb. Product B 6 lb. Product C 4 lb. 2 lb. 5 lb. If the company has available 150 pounds of raw material I and 200 pounds of raw material II, and if the profit for the three products are P250, P200, and P240, how much of each product should be produced in order to maximize profit?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Simplex method
Transcribed Image Text:Directions: Answer the following Linear Programing Problems using the simplex method.
1. Suppose a company manufactures three products from two raw materials where the amount of raw
material in each unit of each product is given.
Product A
9 lb.
8 lb.
Product B
6 lb.
5 lb.
Product C
Raw material I
Raw material II
4 lb.
2 lb.
If the company has available 150 pounds of raw material I and 200 pounds of raw material II, and if
the profit for the three products are P250, P200, and P240, how much of each product should be
produced in order to maximize profit?
2. Excalibur Farmhouse has been experimenting with a special diet for its racehorses. The feed
components available for the diet are a standard horse feed product, an enriched oat product and a
new vitamin and mineral feed additive. The nutritional values in units per pound and the costs for
three feed components are summarized below:
Standard
Enriched Oat
New Additive
Ingredient A
Ingredient B
Ingredient C
0.8
0.2
0.0
1.0
1.5
3.0
0.1
0.6
2.0
Cost per pound
PO.25
PO.50
P3.00
The minimum daily diet requirements for each horse are three units of ingredient A, six units of
ingredient B, and 5 units of Ingredient C. In addition, to control the weight of the horses, the total
daily feed for a horse should not exceed 6 pounds. Excalibur Farmhouse would like to determine the
minimum cost mix that will satisfy the daily diet requirements.
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