Answer:
x = 2000 cameras
Step-by-step explanation:
C(x) Total cost in producing x units
C- = C(x) /x Average cost of producing x units x > 0
Cannon Precision Instrument
C (x) Total monthly cost for producing x units of M1 cameras
is C(x) = 0.0025x² + 80x + 10000
Then average cost of producing x cameras M1 is
C-(x) = ( 0.0025x² + 80x + 10000) /x
C-(x) = 0.0025x + 80 + 10000/x
Taking derivatives on both sides of the equation
C-´(x) = 0.0025 - 10000/x²
Then
C-´(x) = 0
( 0.0025x² - 10000 ) / x² = 0
0.0025x² - 10000 = 0
x² = 10000 /0.0025 x² = 4000000
5ft is his actual height.
22 yd
Length is four times its width -----> L=4W
area of rectangle is 196 -----> 196=LW
Plug L=4W into 196=LW giving you 196=(4W)W
Simplify a bit 196=4W^2
Divide both sides by 4: 196/4=W^2
Simplify a bit: 49=W^2
Square root both sides: 7 or -7=W
The width is 7 yd
The length is 4(7)=28 yd
Now its final part is for you to find the perimeter of this rectangle. The rectangle is a 7 yd by 4 yd rectangle.
Double both then add.. 14+8=22 yd
2500
a² + 2ab + b²
49² + 98 + 1
Comparing terms
a²= 49²
a= 49
2ab = 98
2× 49 × b = 98
98b = 98
b= 98/98
b = 1
or
b²= 1
b=√1
b= 1
a=49 and b= 1
Hence (a+b)²= (49+1)²
50²= 2500
