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kykrilka [37]
2 years ago
5

Find the domain and range of the function represented by the graph

Mathematics
1 answer:
lora16 [44]2 years ago
6 0

Answer:

<em>4(b) , 5(a)</em>

Step-by-step explanation:

(4). <em>(b)</em>  Domain is {0, 1, 2, 3} and Range is { - 3, - 2, - 1, 0}

(5).  <em>(a)</em>  Domain is [ - 4, 2] and Range is [ - 4, 4]

or

domain: - 4 ≤ x ≤ 2 , range: - 4 ≤ y ≤ 4

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A) 2.50

Step-by-step explanation:

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3 years ago
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NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

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U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

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U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

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U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

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