I have a question from pastpaper, but I do not know how to solve it.

m the best, Beyond the best. W #13, North York, Mai 73. A toy manufacturer is planning to produce new toys. The setup cost of the production facilities and the unit profit for each toy are given below. Toy 1 Setup cost($) 45000 Profit(S) 2 76000 12 The company has two factories that are capable of producing these toys. Due to the similarity of the raw material for both toys, only one factory could be used The production rates of each toy are given below (in units/hour): US Toy 1 Factory 1 Toy 2 52 Factory 2 42 38 23 Factories 1 and 2, respectively, have 480 and 720 hours of production time available for the production of these toys. The manufacturer wants to know where and how many of each (if any) should be produced so as to maximize the total profit. In order to solve the problem using an integer program, please answer the following questions. a) Define the decision variables for this problem. b) Write down the objective function. c) Write down all constraints. GPA Business pg. 16