Answer: the solution is 1
Step-by-step explanation:
you subtract the 8 from 9 so you can get the variable, y, by itself.
Don't repost because somebody will answer (probably)
we got some points
normally it is like
y=mx+b
find m and x
if we assume they are in a straight line
m is slope and b is y intercept
ok so we see the slope betwee (6,11) and (3,5) is 2
because slope between (x1,y1) and (x1,y1) is (y2-y1)/(x2-x1)
y=2x+b
if we solve for b we get
hmm
5=2(3)+b
5=6+b
-1=b
y=2x-1
so double x and minus 1 to get y
10*2=20, 20-1=19
23=2x-1
24=2x
12=x
the missing points are 19 on right side and 12 on left
rule is y=2x-1 or
2x-y=1
Answer:
43in
it might be wrong but that's what I got
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.
