# 307w.WLCA.C10 computations are linear?

• MHB
• karush
In summary, the conversation discusses a table from eMH and the use of x, y, and z variables to calculate the cost of different mixes. The bottom row of the table shows the cost of each ingredient, and the equation for the "Bulk" mix is corrected to be 7(2.55x)+ 6(4.65y)+ 2(4.80z).
karush
Gold Member
MHB

the matrix at the bottom is from eMH but thot this was the way to do it... maybe not!

Do you understand what this table tells you and what you are asked to do?

Let x be the number of kg of raisins used, y the number of kg of peanuts, z the number of kg of chocolate. Then one batch of "Bulk" mix requires 7x+ 6y+ 2z, one batch of "standard' mix requires 6x+ 4y+ 5z, and one batch of "Fancy" mix requires 2x+5y+ 8z.

The bottom row shows the cost of each kg of raisins, peanuts, and chocolate. x kg of peanuts costs 255x, y kg of peanuts cost 4.65y, and z kg of chocolate cost 4.80z so one batch of "Bulk" mix cost 7(4.65y)+ 6(4.65y)+ 2(4.80z)

ok I think in LA notation $x_1, x_2, x_3$ is preferred for the matrix

why do you have y twice in 7(4.65y)+ 6(4.65y)+ 2(4.80z)

That was a typo, of course.

It should be 7(2.55x)+ 6(4.65y)+ 2(4.80z).

## 1. What is the meaning of "307w.WLCA.C10" in the computations?

The term "307w.WLCA.C10" likely refers to a specific set of data or variables being used in the computations. It could be a code or label for a particular experiment or dataset.

## 2. What does it mean for computations to be linear?

When computations are linear, it means that the output is directly proportional to the input. In other words, if the input is doubled, the output will also be doubled. This is often seen in simple mathematical equations such as y = mx + b, where m and b are constants and x is the input variable.

## 3. How are linear computations different from non-linear computations?

In contrast to linear computations, non-linear computations do not have a constant relationship between the input and output. This means that doubling the input may not necessarily result in a doubling of the output. Non-linear computations are often more complex and can involve exponential or logarithmic functions.

## 4. What are some common applications of linear computations?

Linear computations are used in various fields, including mathematics, physics, economics, and engineering. They are particularly useful in modeling and predicting linear relationships, such as in linear regression analysis or in determining the slope of a line.

## 5. How can linear computations be useful in scientific research?

Linear computations can be used to analyze and understand relationships between variables in scientific research. They can also be used to make predictions and test hypotheses. Additionally, linear computations can help identify patterns and trends in data, which can lead to further insights and discoveries.

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