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.
Answer:
time = 28 years
Step-by-step explanation:
Given,
principal amount = $10,000
rate = 4%
total amount = $30,000
According to compound interest formula
where, A = total amount
P = principal amount
r = rate
t = time in years
so, from the question we can write,
by taking log on both sides, we will get
=> log3 = t.log(1.04)
=> t = 28.01
So, the time taken to get the amount from 10000 to 30000 is 28 years.
Answer:
Well plz dont delete my question
Step-by-step explanation:
I need points to get mine out
Answer:
Since the Line is Perpendicular
m.m'=-1
The line
y=x+8
Comparing with
Y=mx + C
m=1
m.m'=-1
m'=-1/m = -1/1 = -1.
y-y' = m'(x-x')
The point it passes is (-7,8)
y-8= -1(x--7)
y-8=-1(x+7)
y-8 = -x - 7
y + x -1 = 0.
or In Slope intercept Form
Just Make y the subject
y= -x + 1 ..... This is your answer.
Hope this helps!!!
Answer: Paul will be 30 years old
Step-by-step explanation:Let the age of her sister be x, then from the given data
=> 4x = 20
=> x = 5 years
The age of her sister is 5 years
In the second case, paul is twice as old as his sister
=> Age of paul = 2(x)
=> Age of paul = 10 years
Paul will be 10 years old when he is twice as old as his sister
