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Sladkaya [172]
2 years ago
15

ANSWER FOR BRAINLIEST

Mathematics
2 answers:
tester [92]2 years ago
7 0

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables

Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552

Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  

15 chairs; 18 tables

Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450

Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  

12 chairs; 28 tables

Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564

Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  

18 chairs; 20 tables

Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516

Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X

975 + 1,620 = X

2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

deff fn [24]2 years ago
3 0
1888 beeqcheheujenrnekkskrnnd. jenner






keene
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If the denominator does not equal 0, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}\frac{x^{10} y^{14}}{729}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{14x^4y^6}{7x^8y^2}

Divide 14 by 7

\frac{14x^4y^6}{7x^8y^2} = \frac{2x^4y^6}{x^8y^2}

Apply the law of indices

\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{6-2}}{x^{8-4}}

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\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{4}}{x^{4}}

Hence, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}

Read more about equivalent expressions at:

brainly.com/question/2972832

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