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 circumference of the circle to the nearest tenth is 87.9
Step-by-step explanation:
In order to find the circumference using the diameter, you multiply the diameter times pi which is 3.14. 28*3.14 equals 87.92 which rounded to the nearest tenth is 87.9.
Answer:
3.20 per yard because there are 36inches in a yard 36×0.5=5.40
Answer:
3:2 is equal to 12:8 and 12:8 is not 9:8
Step-by-step explanation:
Ratios are also fractions
3/2 is also 12/8
12/8 is not 9/8
