7) 18x+27
I would love to answer number eight, but it's not clear. (I need a full pic of 8)
Answer:
In order to maximize profit of $3700 we need to produce 50 units of Chairs and 9 units of Sofa
Step-by-step explanation:
Let X be the number of units of Chairs produced and Y be the number of units of Sofa to be produced
wood foam rubber square yards of material Selling Price
Chairs 20X 1X 2X = $20X
<u>Sofa 100Y 50Y 20Y = $300Y</u>
1900 500 240
20x+100y=1900
x+50y=500
2x+20y=240
use equation 2 to find the value of x
x= 500-50y
Substitute value of x in equation 3
2(500-50y) + 20y= 240
1000-100y + 20y = 240
1000-240 = 100y-20y
760 = 80y
y= 9.5 ≈ 9 units ( since we can't make half of any product )
Put value of y in equation 2
x= 500- 50 ( 9)
x= 50 units
Maximize profit = 20X + 300Y
= 20(50) + 300( 9)
= $3700
First you would combine the like terms. Combine x + 2x which will lead you to 3x and then add 25 +41 which will equal 66. Then you would subtract 66 from both sides. 3x+66=296 .......3x-66=296. 296-66= 230 and then you’ll divide 230 by 3 which will give you 76.66666
Simplify 2/3(b+c) to 2(b+c)/3
a=2(b+c)/3
Multiply both sides by 3
a * 3 = 2(b+c)
Regroup terms
3a=2(b+c)
Divide both sides by 2
3a/2 = b+c
Subtract c from both sides
3a/2 - c = b
Switch sides
b = 3a/2 - c
The equation for finding the circumference of a circle:
If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.