Question 1 Upon graduation, with the support of your parents, you have opened an eatery that specialized in selling sandwiches in a shopping mall. Your eatery only sells three variety of sandwiches (X. Y and Z). Each product earns a profit of $17, $13 and $14 for X. Y and Z. respectively. You assured your parents that you will strive to earn as much profit as you can. Each of these sandwiches is made from a different combination of chicken, cheese and beans, as shown in Table 1-1. The total amount (in units) of Chicken, Cheese and Beans available per day is 28, 80 and 68 units, respectively. Table 1-1 Fillings Required Chicken (units) Cheese (units) Beans (units) for Sandwich Type X 11 Y 8 4 Z 2 9 4 Table 1-2 shows the sensitivity report from the computer model.Table 1-2 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$4 X 0 -0.818 17 0.818 1.00E+30 SD$4 Y 8.36 O 13 8 0.56 SE$4 Z 1.45 0 14 0.63 5.33 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SF$16 Chicken 28 0.45 28 2 10.22 $F$17 Cheese 80 1.45 80 46 5.33 SF$18 Beans 39.27 0 68 1.00E+30 28.73(a) Develop the complete linear programming model that will meet the objective of setting up this shop. Clearly state the variables, objective function and constraints. (Ifyou need to draw a diagram or gure (and cannot do so in MS Word), take a picture ofthe image you have drawn and insert it in your answer. You are reminded that your overaie size ofyour submission ofthis TOA should not exceed 500MB. For a table, you are advised to copy the table given in the question or drmv it in MS Word. For an equation, you are advised to write the equation in MS Word.) (1 5 marks) (b) Your parent noticed that you are running low on supply and offer to help you purchase additional Chicken, Cheese and Beans on their way to the supermarket. How would you respond? (5 marks) [{5} Suppose your parent suggested you increase the price of the X product by about 80 cents. Comment on their suggestion.