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:
7/5
Step-by-step explanation:
Slope formula = (y₂ - y₁) / (x₂ - x₁)
= (7 - 0) / (2 - (-3))
= 7 / (2 + 3)
= 7/5
9514 1404 393
Answer:
(a) 31.5 in²
Step-by-step explanation:
The area of a rhombus is half the product of the lengths of the diagonals.
A = 1/2(d1)(d2)
A = (1/2)(7 in)(9 in) = 31.5 in²
There are 31.5 in² of space in the rhombus for engraving.
this is what you get while graphing the equation ! hopes this helps with your answer !
To do this you want to first multiply 28 by 0.15. This will give you $4.20. You have to give a $4.20 tip. The total cost would be the lunch and the tip added together. It would give you a final total of $32.20.