We are 93,000,000 miles away from the sun. The answer should be 9.3 x 10^7.
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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The formula for slope is (y2 -- y1) / (x2 -- x1).
(0,3) (4,5)
5 - 4 = 1
3 - 0 = 3
So the slope is 1/3.
Hope this Helps!!
Let's say you have 10 and 15
You can divide both of them by 5
10/5=2
15/5=3
The greatest common factor is 5, because it is the highest number you can divide both numbers by, I hope this helps
Answer:
The equation is true.
Step-by-step explanation:
Simplify. Combine like terms:
3x + 15 = (2x + x) + (10 + 5)
3x + 15 = (3x) + 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3x and 15 from both sides:
3x (-3x) + 15 (-15) = 3x (-3x) + 15 (-15)
3x - 3x = 15 - 15
0 = 0
~ True. The two expressions are equal to each other.
~
