Write out LP and solutions of following restrictions by using gurobi with python

1. Solve the following problem using gurobi with python. You must write out the LP and its optimal solution in additoin to uploading your python file. A local bakery produces three different types of cakes: 1-layer, which yields a profit of $15; 2-layer, which yields $20 profit; and 3-layer, which yields $10 profit, per cake. There are two main ingredients sugar and flour that each cake requires. The following table shows the number of cups of each ingredient needed for each type of cake. Sugar 1 Flour 2 Cake 1 2 3 Cake 2 4 1 Cake 3 3 2 The following restrictions must be satisfied: (a) The bakery has 60 cups of sugar and 45 cups of flour in stock. (b) The number of cakes of type 1 cannot be more than half of the total number of cakes that are made (c) If the bakery makes any of cake 1 then they must also make at least 1 cake 2 (d) The bakery must make either cake 2 or cake 3 (both is fine) 1. Solve the following problem using gurobi with python. You must write out the LP and its optimal solution in additoin to uploading your python file. A local bakery produces three different types of cakes: 1-layer, which yields a profit of $15; 2-layer, which yields $20 profit; and 3-layer, which yields $10 profit, per cake. There are two main ingredients sugar and flour that each cake requires. The following table shows the number of cups of each ingredient needed for each type of cake. Sugar 1 Flour 2 Cake 1 2 3 Cake 2 4 1 Cake 3 3 2 The following restrictions must be satisfied: (a) The bakery has 60 cups of sugar and 45 cups of flour in stock. (b) The number of cakes of type 1 cannot be more than half of the total number of cakes that are made (c) If the bakery makes any of cake 1 then they must also make at least 1 cake 2 (d) The bakery must make either cake 2 or cake 3 (both is fine)