Purchase Solution

# Linear Programming : Corner Point Method

Not what you're looking for?

Dr Wu can cure colds with his 3 layer pills. They come in two sizes, regular and king size. Regular size contains 2 grains of aspirin, 5 grains of bicarbonate, and 1 grain of codeine. For king size, it is 1 grain of aspirin, 8 grains of bicarbonate, and 6 grains of codeine. Dr Wu shows that is requires at least 12 grains of aspirin, 74 grains of bicarbonate and 28 grains of codeine to affect his cure. Determine the least number of regular and king size pills he should prescribe to meet those requirements.

##### Solution Summary

A problem is solved bthrough linear programming. Constraints are set up and a maximum value is obtained.

##### Solution Preview

number of regular size = x
number of King size = y

Aspirin
2x + 1y >= 12 ..(1)

Bicarbonate:
5x + 8y >= 74 ..(2)

Codeine:
1x + 6y >= 28 ...(3)

number of pills:
z = x+y => ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts