I want the solution for section 4

HOMEWORK 1 Due Date: 2/11/2020 Cookie Dough Kits Your school's band decides to sell cookie dough kits to raise money for a spring field trip. There is a Family Times Cookie Dough kit that you can buy for $7 and sell for $12. and a Baker's Delight kit that you can buy for $15 and sell for S25. The PTA (Parent- Teacher Association) will lend you $2100 to buy supplies. The company selling you the kits informs you that a school your size can expect to sell at most 220 kits. You should decide : How many of each type of kit should your band purchase to raise the most money? What is the most money that your band can raise? Section 1 - (The Objective Function) - 3 p. 1. What would be the profit when you sell one Family Times kit? 2. What would be the profit when you sell one Baker's Delight kit? 3. What equation would represent your overall profit if you sell x (number of) Family Times kits and y (number of) Baker's Delight kits? This is the objective function of your linear programming model Section 24(The Constraints) - 7p. 4. Write an inequality that shows the different number of kit combinations you can purchase (to resell) if x represents the number of Family Time kits and y represents the number of Baker's Delight kits. 5. Write an inequality that reflects the fact that you expect to sell at most 220 kits. 6. Write an inequality that shows you must sell either zero or a positive number of Family Times kits. 7. Write an inequality that demonstrates that you will not sell a negative amount of Baker's Delight kits. List these four inequalities together in four rows. These are the constraints of your linear programming model. 8. Graph the first two inequalities and only consider the 1" quadrant of the coordinate plane. Why? 9. Double-shade the intersection of inequalities. The double-shaded region is the area that contains possible solutions to your problem. In linear programming this area is called the region 10. Change the inequalities so that the unshaded area would represent the solution to all four inequalities? How? Section 3 - Searching for an Optimum Value - 20p. 11. Move your cursor around in the feasible region and note the various x and y values for various points within the region. Now, identify a point that has integer values for its x and y coordinates Evaluate your objective function using these and integer Values. Show your work 12. Find another point in the feasible region with coordinates that are integer values. Evaluate the objective function with the x and y coordinates of this new point Show your work 13. Compare the result from part 1 with result from part 12. Which pair of coordinates resulted in a greater value when you evaluated the objective function? Continue searching for a pair of coordinates in the feasible region that would produce a greater result when they are used to evaluate the objective function than the coordinates used in part 11 and part 12 What is the greatest value that can be found for the objective function? What are the coordinates that produce this value 14. Are you 100% certain that you have found the coordinates that produce the greatest value for the objective function? Can you be 100% sure? Explain. What do the results of part 13 mean within the context of your problem! 15. Consider the context of our lincar programming model. Why should we only consider points with coordinates that are whole numbers? Section 4 - Graphing the Objective Function -20p. In section 3 you sought a maximum value for an objective function while obeying the constraints of the problem) using a guess and check strateey Now, we will attempt to find a systematic method for finding the maximum value for an objective function, and to answer the question of whether we can know for sure if we have found a maximum value 16. Our objective function is 5x+10yr where x stands for the number of Family Times kits sold, y stands for the number of Baker's Delight kits sold, and stands for the profit the band cars from kits sold. In order to graph this equation on a graphing calculator we would need to solve this equation for y Solve the objective function for y Y- 17. When this equation is written in y-mx + b form we can see what its slope and y interceptare. What is the equation's sope! 18. Can the y intercept be expressed as a numerical value or is it expressed as an algebraic expression