A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Cityscape, the girl's Sea Sprite, and the boy's Trail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 33, 25, 21, and 14. The LP model should maximize profit. There are several conditions that the store needs to worry about. One of these is space to hold the inventory. An adult's bike needs four feet, but a child's bike needs only one foot. The store has 480 feet of space. There are 1280 hours of assembly time available. The child's bike need 4 hours of assembly time; the Open Trail needs 3 hours and the Cityscape needs 6 hours. The store would like to place an order for at least 290 bikes. Based on the case study above please answer the following prompts: a. Would optimal solution change if the store had 120 more feet of storage space? B. Which resource should the company work ton increase, inventory space and/or assembly time?