i Learn & Share Activity: 2nd Semester Basic Calculus Overview This performance task aims to demonstrate the student's learning and understanding about how the derivative of a variable y with respect to another variable x measures the instantaneous rate of change of y with respect to x, how the integral is used to define a function given specific conditions, and how calculus is used in its most direct application in commerce and economics, which is marginal analysis. Performance Task "How Much More?" The business owners of company XYZ hired you, an operations researcher, to present an analytical report that will be their basis in making "how much" decisions to know the most efficient quantity/ies of products/services they can offer so that the net gain that they will incur will be at its maximum. As an .. . operations researcher, you are tasked to present a polynomial representation of cost and revenue, and to perform marginal analysis to compare the benefit of producing/doing a little bit more of a product/service of the company with the cost of producing/doing a little bit more of that same product/service through the use calculus. The owners expect from you that the polynomial curves presented have logical and technical basis of derivation and are plotted clearly in a well-prepared graph. In addition, they expect you to help them come up with a decision backed up with logical proof that is stated in the language of business. Evaluation Guide Part Output Date of Submission / Presentation Members of the Panel Polynomial Representation Curve Fitting and Marginal Analysis Report Below are the set of criteria to be used in the evaluation of your output. Criteria for Polynomial Representation: Presentation of Data 40 points Sample Computation of Final Score: Computation 40 points Instructor 1: 80 Structure 20 points Instructor 2: 90 Total: 100 points Instructor 3: + 70 240 / 3 (No. of Panel) = 80 (Your Final Score)