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 eams 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 diferent combination of chicken, cheese and beans, as shown in Table /-J. The total amount (in units) of Chicken, Cheese and Beans available per day is 28, 80 and 68 units, respectively. Table 1-1 Filings Required Chicken (onits) Cheese (units) Beans (units) for Sandwich Type Table /-3 shows the sensitivity report from the computer model. Table 1-2 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase $CS4 X 0.818 17 0 818 1.D08#30 SD$4 V 835 056 SE$4 I 145 14 0.63 Constraints Final Shadow Constraint Allowable Allowable Cel Name Value Price R.H. Side Increase Decrease SF$16 Chicken 0.45 28 10 72 $F$17 Choose 1.45 80 46 SF$ 18 Boons 39 27 1 ODE +30 18.73(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. If you need to draw a diagram of figure (and cannot do so in MS Word, take a picture of the image you have drawn and imeant it in your anwer. You are reminded that your overall Ale size of your submission of this TOA should not exceed 500MB. For a rable, you are advised to copy the table given in the question or draw it in MS Word. For an equation, you are advised to write the equation in Mf5 Word) (15 marks) (b) Your parent noticed that you are running low on supply and offer to help you purchase additional Chicken, Cheese and Beams on their way to the supermarket. How would you respond? (5 marks) Suppose your parent suggested you increase the price of the X product by about 90 cents. Comment on their suggestion