3. Given that lim et-1 t-07+2te-2t-7et , use the Rules of Limits and 28 differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }}]}, 1. Digicel's profit function for the sale of $21 is as follows: (q)=-2q²+350q-150 The selling price per S21 is given by the function: p = 600-2q Where q represents the number of S21 (in thousands), cost and revenue are in thousand of dollars. Using the information provided above, determine the following: a. Total Cost function. b. Marginal Cost (MC) when 4000 S21 are produced. c. Give an interpretation of your answer from Part b. above. d. The number of S21 that must be sold for Digicel to make a Marginal Revenue (MR) of $300,000.00. e. At what level of quantity will the firm maximize its profit. 2. Differentiate the following: a. q(p) = 3e³ - 2p b. y In (5p2-√P)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please answer question 1 . A to E

3. Given that lim
et-1
t-07+2te-2t-7et
, use the Rules of Limits and
28
differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }}]},
1. Digicel's profit function for the sale of $21 is as follows:
(q)=-2q²+350q-150
The selling price per S21 is given by the function:
p = 600-2q
Where q represents the number of S21 (in thousands), cost and revenue are in thousand
of dollars.
Using the information provided above, determine the following:
a. Total Cost function.
b. Marginal Cost (MC) when 4000 S21 are produced.
c. Give an interpretation of your answer from Part b. above.
d. The number of S21 that must be sold for Digicel to make a Marginal
Revenue (MR) of $300,000.00.
e. At what level of quantity will the firm maximize its profit.
2. Differentiate the following:
a. q(p) = 3e³ - 2p
b. y In (5p2-√P)
Transcribed Image Text:3. Given that lim et-1 t-07+2te-2t-7et , use the Rules of Limits and 28 differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }}]}, 1. Digicel's profit function for the sale of $21 is as follows: (q)=-2q²+350q-150 The selling price per S21 is given by the function: p = 600-2q Where q represents the number of S21 (in thousands), cost and revenue are in thousand of dollars. Using the information provided above, determine the following: a. Total Cost function. b. Marginal Cost (MC) when 4000 S21 are produced. c. Give an interpretation of your answer from Part b. above. d. The number of S21 that must be sold for Digicel to make a Marginal Revenue (MR) of $300,000.00. e. At what level of quantity will the firm maximize its profit. 2. Differentiate the following: a. q(p) = 3e³ - 2p b. y In (5p2-√P)
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