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A chemical company manufactures silicon carbide and silicon tetrachloride. It takes 1.5 kg of silica and 0.6 kg of carbon to make 1 kg of silicon carbide. On the other hand, 1 kg of silicon tetrachloride requires 0.35 kg of silica, 0.14 kg of carbon, and 0.84 kg of chlorine. The manufacturer has 105 kg of silica, 84 kg of carbon, and 126 kg of chlorine in stock. If they make $320 profit on 1 kg of silicon carbide and $250 on 1 kg of silicon tetrachloride, how much of each should they produce to maximize profit?

A. Formulate the system of equations representing the constraints.
B. Determine the optimal production quantities based on the constraints and profit margins.

Answer :

A percentage can be larger than 100 and a fraction can be greater than 1.

What is meant by percentage?

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

A percentage can be larger than 100 and a fraction can be greater than 1. We are limited to looking at the whole only when the fraction or percentage relates to a portion of it.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

Therefore, the correct answer is 35%.

To learn more about percentage refer to:

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