Purchase Solution

# Simplex method

Not what you're looking for?

A nutritionalist is preparing a supplement mixture to add to a preparation of oatmeal. The nutritionalist has 3 mixtures available that can be combined to give the desired mixture. Each gram of the first mixture contains 1 unit of calcium, 1 unit of iron, and cost 70 cents. Each gram of the second mixture contains 1 unit of calcium, 2 units of iron, and costs 80 cents. Each gram of the third mixture contains 3 units of calcium, 1 unit of iron, and cost \$1.40. Each batch of the product needs 35 units of calcium and 20 units of iron. How much of each mixture should be added to each batch of the product to meet these requirements at minimum cost?

##### Solution Summary

This solution shows how to use the simplex method to solve a mixture problem regarding nutrition.

##### Solution Preview

Let three mixtures be added as X, Y and Z gm respectively.

Calcium:
1*X + 1*Y + 3*Z = 35
=> X + Y + 3Z = 35 ....(1)

Iron:
1*X + 2*Y + 1*Z = 20
=> X + 2Y + Z = 20 ...(2)

Cost:
C(X,Y,Z) = 70*X + 80*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.

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

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