A. now julia wishes to take into account more than just flour for her bakery. she has purchased 8 pounds of sugar and 20 sticks of butter. there are about two cups per pound of sugar, and every stick of butter contains about ½ cup of butter. use the recipes for the two baked goods to construct two inequalities to model the amount of butter and sugar used in these recipes. type your response here: b. open the spreadsheet you’ve been working with and select the flour, sugar, and butter tab. enter the equations you’ve developed into the spreadsheet. for each equation, adjust one of the transparent triangles sitting next to the graph so it fits within underneath one of the lines. [chromebook users can view this file instead of the spreadsheet.] the portion of the graph that is darkest should be the area of the graph where all the inequalities overlap. what is the significance of this area? what does each corner of this irregular polygon represent? copy and paste the graph into this document. type your response here: c. optimal profit can be found by identifying the coordinates of all the corners of the solution region. name all five points that make up the corners of the solution region on your graph. type your response here: d. assuming that cookies make $1.45 per dozen and bread makes $4 per loaf in profit, calculate the profit earned for each of the potential optimum points on the area. how many batches of bread and cookies should julia bake? type your response here: e. one of the corners of the solution region will always be the answer to the most profitable solution in these types of problems, even though all points within the shaded region satisfy the constraints of the problem. in terms of what is changing at these corners, what do they represent? why do you think the optimal answer appears at the corners of the answer region instead of at other places on its border?