Name Math 132 - Test 1 - June 14, 2024 Computer portion - You should start with a fresh worksheet. (You may not start with one done in class or the book.) Setup Each student needs to generate 3 nonzero digits to make the tests unique. Start with your 9-digit banner number. Let A be the right nonzero digit. Let B be the next distinct nonzero digit. Let C be the next distinct nonzero digit. If I start with 014577050, then A=5, B=7, C=4. (Send me an email if you don't understand.) These values of A, B, and C will be used throughout the test. At the top of each page of your computer portion you should list your banner number and the values of A, B, and C. Put all answers in a textbox. 1) Graphing basic functions Supply price(q) q 25 30 35 40 45 50 68 78 96 120+A Demand price(q) 300 230 67 50+B You have been given the data above: A) Find the formula of the best fitting linear function for supply price. B) Find the formula of the best fitting cubic (polynomial of degree three) function for demand price. C) Add rows to your table for projected supply price and projected demand price. D) Find price and quantity for market equilibrium. E) Plot the projected supply price and demand price on a single graph. 2) You are told profit(x) = x (500 - 100 - * ) - (150,000 + 200x). (A) Produce a table where the values of x goes from 0 to 20,000 by 1,000, and where there are columns for profit(x), and Marginal profit(x + 1), and profit'(x). (You may want other columns as well.) (B) Produce a plot with profit(x), and profit'(x), on a single plot. Use a secondary axis for profit'(x). (C) Find two breakeven points. (D) Find a value of x where profit'(x) = 0. Save the file with a name that includes test1 and your name. (My file would be MayTest1.xlxs) Submit to Canvas and email a copy to your instructor mike.may@slu.edu.) Due Friday June 14, 9 pm St Louis time.