A bakery makes two types of birthday cakes: chocolate cake which sells for $25, and strawberry cake which sells for $35. Each chocolate cake takes 2 hours to make while the strawberry cake takes 3 hours to make. There is a maximum of 450 hours available to make the cakes. The owner of the bakery requires the bakery to make at least 40 chocolate cakes and at least 30 strawberry cakes. Let x represent the number of chocolate cakes and y represent the number of strawberry cakes. 88. Write a system of linear inequalities for the constraints. 89. Write the objective function which is the profit function, P.