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• 23:56, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (c)/Solution 1 (Created page with "Let us keep the variable <math> \tilde{q}_e </math> general to start, so that we can answer the question for both <math> \tilde{q}_e=20 </math> (the true value) and <math> \tilde{q}_e=15 </math> (the value the test said to use if you did not get part (b)). (Note that both <math>15</math> and <math>20</math> are greater than <math> 10 </math>, so we can assume <math> \tilde{q}_e > 10 </math> in our calculations.) Using the formula mentioned in the hint, the surplus is <...")
• 23:10, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (c)/Hint 1 (Created page with "A formula for the total surplus when <math> \tilde{q}_e </math> units are sold is <math display="block"> \begin{align} \int_0^{q_e} D(q)-S(q) \; \mathrm{d}q. \end{align}</math>")
• 23:04, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (c)/Statement (Created page with "Suppose that over the entire market, <math> \tilde{q}_e </math> units are sold, each at the price <math> S(\tilde{q}_e) </math>. Find the total surplus. You do not need to include units in your answer.")
• 22:51, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (b)/Solution 1 (Created page with "As <math>q</math> gets big, so does <math>2^q</math>, which means that <math> \frac{1}{2^q} </math> gets very small. Therefore, <math display="block"> \begin{align} \lim_{q \to \infty} D(q) = \lim_{q \to \infty} \frac{1}{2^q}+1 = 0+1=1. \end{align}</math> Let us use this to solve for <math> \tilde{q}_e </math>: <math display="block"> \begin{align} S(\tilde{q}_e) &= \lim_{q \to \infty} D(q). \\ S(\tilde{q}_e) &= 1. \end{align}</math> Looking at the piecewise formula fo...")
• 22:45, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (b)/Statement (Created page with "First find the limit <math> \lim_{q \to \infty} D(q) </math>, and then find <math> \tilde{q}_e </math>.")
• 22:40, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (a)/Solution 1 (Created page with "As more of a product is available in the market, it is easier to obtain, so the price per unit that a customer is willing to spend goes down. Therefore, we should expect <math>D(q)</math> to be ''non-increasing'' in <math>q</math>. Thus, the correct answer is G. We know that <math>D(q)=\frac{1}{2^q}+1</math> because that is the only non-increasing function out of the two options.")
• 22:37, 25 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (a)/Hint 1 (Created page with "Recall <math>D(q)</math> is the price per unit that customers are willing to pay when <math>q</math> is the total number of units available in the market. What should happen to <math>D(q)</math> as <math>q</math> increases or decreases?")
• 00:17, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (a)/Solution 1/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Solution_17_(a)}}")
• 00:10, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (c)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20_(c)/Solution_1}}")
• 00:10, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (c)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20_(c)/Hint_1}}")
• 00:10, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (b)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20_(b)/Solution_1}}")
• 00:09, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (b)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20_(b)/Hint_1}}")
• 00:09, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (a)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20_(a)/Solution_1}}")
• 00:08, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 20 (a)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_20/Hint_1}}")
• 00:08, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 19/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_19/Solution_1}}")
• 00:08, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 19/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_19/Hint_1}}")
• 00:08, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (d)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(d)/Solution_1}}")
• 00:07, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (d)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(d)/Hint_1}}")
• 00:07, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (c)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(c)/Solution_1}}")
• 00:07, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (c)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(c)/Hint_1}}")
• 00:07, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (b)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(b)/Solution_1}}")
• 00:07, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (b)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(b)/Hint_1}}")
• 00:06, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (a)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(a)/Solution_1}}")
• 00:06, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 17 (a)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_17_(a)/Hint_1}}")
• 00:06, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 16 (b)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_16_(b)/Solution_1}}")
• 00:06, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 16 (b)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_16_(b)/Hint_1}}")
• 00:05, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 16 (a)/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_16_(a)/Solution_1}}")
• 00:04, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 15/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_15/Solution_1}}")
• 00:04, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 14/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_14/Solution_1}}")
• 00:03, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 13/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_13/Solution_1}}")
• 00:03, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 12/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_12/Solution_1}}")
• 00:03, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 11/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_11/Solution_1}}")
• 00:02, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 10/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_10/Solution_1}}")
• 00:01, 19 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 09/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_09/Solution_1}}")
• 23:59, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 08/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_08/Solution_1}}")
• 23:58, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 07/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_7/Solution_1}}")
• 23:57, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 06/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_06/Solution_1}}")
• 23:56, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 05/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_05/Solution_1}}")
• 23:55, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 04/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_04/Solution_1}}")
• 23:54, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 03/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_03/Solution_1}}")
• 23:52, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 02/Solution 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_02/Solution_1}}")
• 23:51, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 09/Solution 2 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_01/Solution_2}}")
• 23:51, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 09/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_09/Hint_1}}")
• 23:51, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 09/Hint 2 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_09/Hint_2}}")
• 23:50, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 16 (a)/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_16/Hint_1}}")
• 23:48, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 15/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_15/Hint_1}}")
• 23:47, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 14/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_14/Hint_1}}")
• 23:47, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 13/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_13/Hint_1}}")
• 23:46, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 12/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_12/Hint_1}}")
• 23:46, 18 March 2025 JensMalmquist talk contribs created page Science:Math Exam Resources/Courses/MATH101 B/April 2024/Question 11/Hint 1 (Created page with "{{Science:Math_Exam_Resources/Courses/MATH101_A/April_2024/Question_11/Hint_1}}")