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6 Preview File Edit View Go Tools Window Help 3/ 9 O 43 95% El Sun Jun7 1:38 PM E thm'IOBSZOpdf (1 page) my thmiOSsZOpdf Screen Shot 2020-0... Homework #4. Math 103 Due at 11:59 PM on Monday, June 8 in the dropbox within UR Courses. Screen Recording Directions: Please be sure to show enough work and/or explanation to make it clear how you 2020-0.\"PM.mov obtained your answers. You will get zero points for answer only. Follow the presentation guidelines as described in the course syllabus. Mark values for each question are indicated in square brackets. Total marks: 66. 1. It has been determined that, for a certain commodity, the supply and demand functions at a sales price of p are given by: 5(1)) = (up + 437 and D(p) = 592 + 9 P Sketch the graphs of these two functions Determine the equilibrium price of this commodity and use interval notation to determine the ranges of prices corresponding to surplus and shortage. Construct the elasticity of demand of this commodity. Decide whether the equilibrium price obtained above creates an elastic or inelastic de- mand. Interpret the result in your own words. Determine the price of unit elasticity. Interpret its relevance in your own words. Determine the horizontal asymptote of D(p) and interpret its practical signicance. 2. Refer to Example 27 in the class notes from Section 1.4. In class, we constructed a function giving the volume of this box if corners of length a: are cut from a 20 x 30 cm cardboard sheet. (a Now suppose that you have a 2 x 3m cardboard sheet and wish to construct a box through a similar procedure. Find a model that gives the volume of this box as a function of the length 2:, in metres. (b Explain in your own words why the realistic domain of this modelling function is the interval [0,2]