Answer:
1/6
Step-by-step explanation:
The x-coordinate of the vertex is always the x-value of the axis of symmetry. The vertex can be found by 
. If we look at this equation as 
,
and 
.
When you plug those values into the x equation you get 
.
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:
60 x 100
Step-by-step explanation:
Since the formula for area of a rectangle is length × width, multiplying the sides will get you the area.
CREDIT TO nilbert
Answer:
I believe its $1.40
Step-by-step explanation:
