!!! Please answer the following questions given the information below !!!

A) Define Decision Variables

B) Objection Function

!! please show work on how to get profit !!

C) Constraints

!! Please show all work !!

Linear Programming Formulations

4. Cake Junkie Bakery in Bryan , Texas is well known for the homestyle cakes that they bake . Chocolate and White cakes are the mainstays . The table below shows the main ingredients that go into each cake , the amount of , and cost of each ingredient that the bakery has available to bake with this week .

Ingredient

Flour (cups per cake) Chocolate cake 3, white cake 3.5, Amount Available 50 cups, cost $ 0.20 per cup.

Sugar (cup per cake) Chocolate cake 2, white cake 1.5, Amount Available 60 cups, cost $ 0.30 per cup.

Eggs (per cake) Chocolate cake 4, white cake 3, Amount Available 12 dozen, cost $ 0.12 per egg.

Butter (cups per cake) Chocolate cake 1.5, white cake 1.0, Amount Available 100 cups, cost $ 0.50 per cup

Each Chocolate cake is sold for $ 15.00, each White cake is sold for $ 12.00 .

- Write the LP formulation to determine the best mix of Chocolate and White cakes for Cake Junkie to bake to maximize PROFIT.

Remember Profit = Revenue - Cost.

4. Cake Junkie Bakery in Bryan, Texas is well known for the homestyle cakes that they bake. Chocolate and White cakes are the mainstays. The table below shows the main ingredients that go into each cake, the amount of, and cost of each ingredient that the bakery has available to bake with this week. Ingredient White cake Cost Amount available Chocolate cake 3 2 4 1.5 Flour (cups per cake) Sugar (cups per cake) Eggs_(per cake) Butter (cups per cake) 50 cups 60 cups 3.5 1.5 3 1.0 $0.20 per cup $0.30 per cup $0.12 per ce $0.50 per cup 12 dozen 100 cups Each Chocolate cake is sold for $15.00, cach White cake is sold for $12.00 Write the LP formulation to determine the best mix of Chocolate and White cakes for Cake Junkie to bake to maximize PROFIT. Remember Profit Revenue - Cost