PART II: Set up problems 15- 18 DO NOT SOLVE (10 points each) a) Define the variables (2 point) b) Write an algebraic expression for the objective...

Can I have help with questions 15-17 please! Thank you this is for math modeling assignment

PART II: Set up problems 15- 18 DO NOT SOLVE (10 points each)a) Define the variables (2 point)b) Write an algebraic expression for the objective function (2 points)c) Write the system of linear inequalities used in solving theproblem. (6 points)15A small craft shop makes toy stuffed bears and silk flowers wreaths. Each bearrequires 3 hours of preparation time, 2 hours of assembly time. And 3 hours offinishing time. Each wreath requires 2 hours of preparation time, 5 hours ofassembly time, and 3 hours of finishing time. There are 36 hours of preparationtime, 78 hours of assembly time, and 42 hours of finishing time available eachweek. If each bear earns a profit of $10 and each wreath earns a profit of $8,how many of each should be crafted to maximize the profit?Seelee eximixem16.The Ball Company manufactures three types of Lamps, which are labeled A, B,and C. Each lamp is processed in two departments- I and II. Total available work-hours per day for departments I and II are 400 and 600, respectively. No additionallabor is available. Time requirements and profit per unit for each lamp type are asfollows.ABCido oril examining setWork-hours in department I23Work-hours in department II423Profit per unit$5$4$3noilonul evilpoido edi ovice of 10bicThe company has assigned you to determine the number of types of A, B, and C lampsthat it should produce in order to maximize the total profit from the sale of lamps.raximixBM maldow onimmBigong isonil orit toblanoS17.Best Brands Appliance Mart is getting ready for its annual Labor Day sale. Thereare two Best Brands stores, one in midtown Manhattan and another in Amityville.Merchandise is stored in two warehouses, one in Brooklyn and one in Baldwin.From experience in past years, the owners know the big mover during the sale istablets. The Manhattan store needs 500, while the Amityville store will require400. Each warehouse has 600 tablets in stock. It costs $1 to ship a tablet from