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:
The distance between (-5, -4) and (3 , -3) is I think 9
Step-by-step explanation:
Hope this helps
Answer:
The total cost will be the same for both companies after 20 miles.
Step-by-step explanation:
First, I wrote the equations:
Laguna's Truck Rentals: 2x + 20
Salvatori's truck rentals: 3x
To find when the total cost for both companies will be the same, I kept substituting numbers for the variable until it worked. So, the total cost for both companies will be the same after 20 miles. Hope this helped!
Hello!
If we want to find the mean (average) of any set of numbers, all you need to do is add the set together, then divide by how many numbers are in the set.
When we add all the numbers we get: 100
Next we just divide by the number of people which is 10: 100 divided by 10 is 10
So, the mean age of the swimmers on the team is an even number of 10.
