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:
x - 1 is not a factor.
Step-by-step explanation:
By the Factor theorem if x - 1 is a factor then f1) = 0:
f(1) = 4*1^3 + 3*1^2 - 4*1 + 3
= 4 + 3 - 4 + 3
= 6 so it is not a factor.
Answer:
40
Step-by-step explanation:
We have an original price p
We mark them up by 50%
p + p*50%
Changing to decimal form
p+.50p = 1.5p
The new price is 60 dollars
1.5p = 60
Divide each side by 1.5
1.5p/1.5 = 60/1.5
p =40
The original price is 40
Answer:
11
Step-by-step explanation:
11,16,12,7,23,9,5,5
arrange to least to greatest
5,5,7,9,11 ,12,16,23
2 middle numbers
11+12= 23
23÷2= 11.5
Median is 11
The answer is probably 50 ok
