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:
B. y = 4x
Step-by-step explanation:
** 4 blocks = 1 unit [vertically]
Starting from the origin, you do <em>rise</em><em>\</em><em>run</em><em> </em>by moving four blocks <em>north</em><em> </em>over one block <em>east</em><em>.</em><em> </em>This graph is an example of what is known as direct variation.
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Answer:
(-4,-4)
Step-by-step explanation:
Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.
-8 × 1/2 = -4
You see, start at 1 and 1/3, and since the denominator is different from 1/6, find an equivalent fraction. Which is 1 and 2/6, now subtract 1/6 from that number. The answer is 1 and 1/6
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