One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model. Table A 1 2 f(x) 6 13 24 39 Table B 2 3 20 27 4 g(x) 6 13 34 linear function g(x) quadratic function 10X)

Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = X² X + 3 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) y² + 2Y + 9 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 5,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = X, Y Z 0 = 5 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal…

The purpose of this analysis is to model available atmospheric carbon dioxide data with a quadratic function of the form f(x) = ax2 + bx + x.  In the space below, type the model quadratic function for the relationship between year and mean carbon dioxide levels in standard mathematical form using the coefficients calculated on the spreadsheet.          Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2030.             Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2050.             What other factors might need to be taken into account to provide a more robust model to make predictions              regarding future atmospheric carbon dioxide levels?