Macro farms Ltd can purchase two types of fertilizer which contain the following percentage               Nitrate    Phosphates    Potash Type X     18                5                 2 Type Y      3                 2                 5 For certain type of crop, the following minimum quantities (kg) are required Nitrate     Phosphate      Potash 100            50                   40 Type X cost GHS10 per kg and type Y cost GHS5 per kg. The company currently buys 1,000 kg of each type and wishes to minimize it expenditure on fertilizers required. a. Solve the model graphically b. What is the minimum expenditure that can be incurred on fertilizer?  c. Find the savings the company can make by switching from it current policy to your recommendation.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
icon
Related questions
Question

Macro farms Ltd can purchase two types of fertilizer which contain the following percentage
              Nitrate    Phosphates    Potash

Type X     18                5                 2

Type Y      3                 2                 5

For certain type of crop, the following minimum quantities (kg) are required
Nitrate     Phosphate      Potash

100            50                   40

Type X cost GHS10 per kg and type Y cost GHS5 per kg. The company currently buys 1,000 kg of each type and wishes to minimize it expenditure on fertilizers required.
a. Solve the model graphically
b. What is the minimum expenditure that can be incurred on fertilizer? 

c. Find the savings the company can make by switching from it current policy to your recommendation. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Optimization models
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,