This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
Answer:
c or d maybe d
Step-by-step explanation:
Answer:
The value of 
is 2.
Step-by-step explanation:
The standard form of the equation of the line is of the form:
Where:
, 
- Independent and dependent variable, dimensionless.
- Slope, dimensionless.
- y-intercept, dimensionless.
Given that line 
is perpendicular to 
, the slope is equal to:
Where 
is the slope of the perpendicular line, dimensionless.
If 
, then:
If 
and 
, the y-intercept of the line is:
The equation of the line is 
. Given that 
and 
, the value of is:
The value of is 2.
0.057 is the correct answer! Have a great week!
Answer:
d. 32 π
Step-by-step explanation:
As given
Area of circle = 64 π
Area of circumference = 1/2*(Area of circle)
Area of circumference = 1/2*(64π)
Area of circumference = 0.5*64π
Area of circumference = 32π
