second time posting these please read the wuestion carefully

5 QUESTION 13 The Pat-A-Cake Pestry Shop makes chocolate cake in three sites - Small Mediurn, and Large. The shop has the following amounts of the three main ingredients on hand - 400 ounces of cake flour, 550 ounces of caster sugar, and 150 ounces of cocoa powder. The table below provides details on the amount of cach ingredient required for cach cake size as well as the profit contributions Cake Small Medium Available Large 21 8 16 400 18 25 Plain flour (Ounce) Caster sugat (Ounce) Cocoa powder (Ounce) Profit/Unit 550 150 5 11 S18 $25 Develop and solve a linear programming model to maximize profit. If 10 fewer eunces of Cocoa powder is available (140 ounces), what is the change in the optimal profit? Oa We cannot determine the change in the optimal profit. b. The optimal profit will decrease by 54.735 c. The optimal prolit will increase by $4.735 d. The optimal profit will decrease by 50 473 QUESTION 7 The objective function for an optimization problem is Max 52-3y with constraints x 20.20 andy must be an integet. X and Y are the only decisions variables This is an example of ain) a all interlinear program, b. binary integer linear program oc mixed integer linear program d. LP relaxation of the integer linear program