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 $
Answer:
y = 4/7x - 4
Step-by-step explanation:
You first have to put it in y = mx + b form
So, we first subtract 4x from both sides: -7y = -4x + 28
Divide both sides by -7
y = 4/7x - 4
Now to graph you have to start at the starting point which is -4
So we start with our point on -4 then move up 4 times and 7 times to the left. Mark the points then draw your line!
True
Hope this helps
Have a wonderful day or night
First, you need to know how much they’re dilated.
To find that out you do:
15/10 = 1.5
So they’re dilated by 1.5cm
To find the value for y you do:
6•1.5 = 9
y = 9