Mr. Fernandez is mixing soil for his garden. He wants the soil to be in the

Mathematics

1 answer:

Alex17521 [72]3 years ago

3 0

Answer:

0.4 to 1

Step-by-step explanation:

2 1/2=2.5

you do 1 divided by 2.5 or 1/2.5 and you get 0.4 then add the unit rate of 1.

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A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir

miskamm [114]

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.

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8 0

2 years ago

What is 1 half subtract 1 tenth

Anna [14]

To solve for $\frac{1}{2}- \frac{1}{10}$ You first need to find a common denominator.

To do so, you need to make both denominators 10 by multiplying the top and bottom of $\frac{1}{2}$ by 5

$\frac{5}{10}- \frac{1}{10}$ = $\frac{4}{10}$ Reduce by dividing both the top and bottom by 2

Your answer is $\frac{2}{5}$