Answer:
C(p) = 4,96 (in thousands of dollars)
l = 2980 $ invest in labor
k = 2980 $ invest in equipment
Step-by-step explanation:
Information we have:
Monthly output P = 450*l*k ⇒ k = P/450*l
But the production need to be 4000
Then k = 4000/450*l
Cost of production = l * k (in thousands of dollars)
C(l) = l + 4000/450*l
Taking derivatives (both members of the equation)
C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0
45*l² - 400 = 0 ⇒ l² = 400/45
l = 2.98 (in thousands of dollars)
l = 2980 $ And
k = 400/45*l ⇒ k 400/45*2.98
k = 2.98 (in thousands of dollars)
C(p) = l + k
C(p) = 2980 + 2980
C(p) = 5960 $
1 sunflower = $?
8 sunflowers = $18
Divide $18 by 8 = 2.25
1 sunflower is $2.25.
Answer:
Step-by-step explanation:
Given
Balloon velocity is 14 ft/s upwards
Distance between balloon and cyclist is 140 ft
Velocity of motor cycle is 88 ft/s
After 10 sec
motorcyclist traveled a distance of 
Distance traveled by balloon in 10 s
net height of balloon from ground =140+140=280 ft[/tex]
at 
distance between cyclist and balloon is 
now suppose at any time t motorcyclist cover a distance of x m and balloon is at a height of h m
thus 
differentiating w.r.t time
Answer:
1378.54
Step-by-step explanation:
First multiply 12 by 4. You get 48 then divide it by 2 and You get 24. divide 33085 by 24 and you get 1378.54.
Answer:
There are 250 students.
Step-by-step explanation:
I reasoned....
If 24% purchased their lunch, then 76% brought their lunch -- because 100% (the total) - 24% = 76%.
So, I set up this up to find the missing number:
190 x
------ = ------
76% 24%
190 x 24 = 4,560
4,560 / 76 = 60
So, x = 60 students, which represents the 24% of students who purchased their lunch.
190 + 60 = 250
