1. (2.5 points) A sporting goods store is planning to place an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Citscape, the girls Sea Sprite, and the boys Trail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 23, 15, 32, and 27. The LP model should maximize the profit. There are several conditions that the store needs to worry about. One of these is space to hold the inventory. Each adult bike needs three feet, but each childrens bike needs only one and half feet. The store has 1000 feet of space in total. There are 1500 hours of assembly time available. The childrens bikes need 3 hours each; the Open Trail needs 5 hours and the Cityscape needs 6 hours. The store would like to place an order for at least 200 bikes. The store will order more adult bicycles. The store also decides the number of boys' bikes ordered should not exceed 30% of the total number of bikes ordered.

1. List the decision variables 2. Objective function 3. List of contraints