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:9 cups of red paint
Step-by-step explanation:1 batch = 3 cups of paint and you need to find the number of cups of paint for 3 batches so you multiply 3 x 3 and get 9. Hope this helped!!!:)
14 divided by 10.5 is 1.3333 that goes on and on never stops.
Answer:
H + P = 14
3.50H + 2.50P = 43
Step-by-step explanation:
Given that
H denotes half gallons of ice cream
P denotes packages of ice cream cones
Now
H + P = 14
And,
3.50H + 2.50P = 43
So, the systems of equations would be
H + P = 14
3.50H + 2.50P = 43
Take 1/2 of -6 and square it
-6/2=-3
(-3)^2=9
9 should be added
x^2-6+9=5+9
(x-3)^2=14
9 should be added
