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:
6(2x + 3y)
Step-by-step explanation:
6 × 2x + 6 × 3y
6(2x + 3y)
Answer:
3 hours for miss patrick 5 hours for mr shah
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth
Answer:
3.47 flips per seconds
Step-by-step explanation:
We are told that:
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds
The unit rate = flips per seconds
Flips = 416 times
Seconds = 120
Hence, = 416 flips /120 seconds
= 3.4666666667 flips/seconds
Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.
