Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:120000
Step-by-step explanation:
bc in a minute their is 60 seconds and if the leoperd runs 500 yards every 30 seconds u would multiply 60 times 2 bc their is 60 min in a hour and u would get 120.then u would multiply that by 2 getting u 240 which is two hours then u would do 500 times 240
Answer:
The total area for all 16 hamburgers is <u>113.04 in²</u>.
Step-by-step explanation:
Given:
Chris made hamburgers for his family and they each had a diameter of 3 in.
If he made 16 hamburgers.
Now, to find the total area for all 16 hamburgers.
So, the diameter 3 in is given and we need first to find the radius:
Now, to get the area of a hamburger we put formula:
<u><em>(Taking the value of π = 3.14.)</em></u>
Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:
Therefore, the total area for all 16 hamburgers is 113.04 in².
Answer:
the smallest part is 2
Step-by-step explanation:
lets take x as the smallest part
then the largest part=3x
the middle sized part=2x
x+2x+3x=12
6x=12
x=12/6
x=2
therefore the smallest part is equal to 2
