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 $
The radius of the given circle is 2.84 units
Step-by-step explanation:
Step 1 :
Given
The perimeter of a quarter table is 17.85
We need to find the circle's radius.
Step 2 :
The circle's perimeter is given by the formula, 2 r where r represents the circle's radius
So from this we have ,
2 r = 17.85
We can determine the radius by dividing the perimeter value by 2
= > r = 17.85 divided by 2 r
= 2.84 [ taking = ]
Step 3 :
Answer :
The radius of the given circle is 2.84 units
<h3>
Answer:</h3>
<em>None of the above</em>. All the answers refer to <em>price</em>. The given equation refers to <em>value</em>. We imagine price may stay the same or actually increase year-to-year. The problem statement gives insufficient information to conclude anything about <em>price</em>.
Math is about attention to detail. The equation tells you ...
... The <em>value</em> of the boat decreases by 12% every year.
<h3>
Step-by-step explanation:</h3>
The value of the boat is multiplied by 0.88 each time X increases by 1. That means the value is 88% of what it was the year before, <em>a decrease of 12%</em>.
A prime expression is a math term. It is a expression that can't be divided by anything other than a 1.