Question

140 Task 5 Midterm Analysis (3.667, 122.785) 120 In class we have used the Looney Pyramids several times to model different concepts. The problem is that there are only three different sizes Determine the dimensions for a smaller pyramid with zero pips for a larger one with four pips using a function model 100 (0, 95) STEP 2 Whizzo Chocolates has been concerned about the sales of their scrumptious "Tasty Frog Treat" boxes. Their revenue sales, both past and future, of this product are currently being projected using the function R (in thousands of dollars) which is dependent on time in months t: 6 R(t) 2) 215 (15, 50) Analyze this function for the Whizzo Chocolate Company, as well as inform them of any issues that my be apparent from the graph. STEP 3 The initial market analysts for Whizzo had projected the sales for the Tasty Frog Treats to look more like the image shown at the left. Come up with a polynomial function that is similar to the one pictured, and then describe how you created it. (-3.466, 0) 20 20 40

Answer 1

Determine the dimensions for a smaller pyramid with zero pips for a larger one with four pips using a function model From the graph we get that it is a cubic function as x →-oo the function value also goes to-oo on the other hand when x → 0 the function value also goes to +oo, and further at x3.466 the function value becomes 0. Thus we can write f(x) = (x + 3.466)(x2 + bx + c) Further we are given the points (3.667, 122.785), (15,50) And thus we have 122.785-(3.667 + 3.466) (3.6672 + 3.667b +c) 50a(15 + 3.466) (15%+ 15b + c) Simplifying we get, 122.785 (95.91666 26.15671b 7.133c) 504154.85276.99b 18.466c Again Simplifying we get, 26.15671b7.133c 26.86834 276.99b + 18·466c =-4104.85 Solving these two equations we get b-19.947, c 76.91233 Thus the required function is f(x) - (x + 3.466)(x-- 19.947x + 76.91233)