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!
S = sally C = Chris J = Joe
sally is one year older than 3 times the age of joe, so
s = 3j + 1
chris is 5 years younger than 6 times the age of jo, so
c = 6j - 5
sally and chris are the same age so
s = c so
3j + 1 = 6j - 5
-3j -3j
1 = 3j - 5
+5 +5
6 = 3j or
3j = 6
3j/3 = 6/3
j = 2
check
s = c
3(2) +1 = 6(2) - 5
6 + 1 = 12 - 5
7 = 7 correct✅
Answer:
48
240 ÷ 5 = 48
Please Mark Brainliest If This Helped!
Step-by-step explanation:
Question 10 :
3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)
simplify and get x, thus x = 18
to find 3x + 6 or 4x - 12(which is both the same),
3(18) + 6 = 60° , 4(18) - 12 = 60°
Question 11:
2x + 24 + x = 180 ( reason: interior angles due to parallel lines)
simplify again to get x, you will get x = 52
then find the individual by subbing in the value of x into the equation.
so 2x + 24 = 2(52)+24 = 128° and x = 52°
