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 $
Square x first then add x then subtract by 2
Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be 
Let the share of B be 
Given:
$200 is shared between A and B
So, 
Also given;
twice of A's share is less than 3 times than B's share by $20
Solution:
Now multiplying equation 1 by 3 we get,
Now Adding equation 2 and equation 3 we get
Now Substituting the value of x in equation 1 we get,
Hence, Share of A is $116 and Share of B is $84.
Find a common denominator or the bottom number of a fraction. 5 and 5/6 - 11/6 - 4/6 - 3/4 = 140/24 - 44/24 - 16/24 - 18/24 = 96/24 - 16/24 - 18/24=62/24 or 2 and 7/12.
