(c) What would the profit be if the store had 100 more feet of storage space? (d) If the profit on the Cityscape increases to 35, will any of the Cityscape bikes be ordered? O Yes No (e) Over what range of assembly hours is the dual value applicable? The range is from a low of to a high of (f) If we require 5 more bikes in inventory, what will be the change in the value of the optimal solution? (g) Which resource should the company work to increase, inventory space or assembly time? O inventory capacity O assembly time 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 35, 26, 23, and 20. The LP model should maximize profit. The store needs to worry about several conditions. One of these is space to hold the inventory. An adult's bike needs two feet, but a child's bike needs only one foot. The store has 560 feet of space. There are 1,250 hours of assembly time available. The child's bikes need 4 hours of assembly time, the Open Trail needs 5 hours, and the Cityscape needs 6 hours. The store would like to place an order for at least 275 bikes. (Let X = number of adult Open Trail bikes ordered. Let X, number of adult Cityscape bikes ordered. Let X, number of girl's Sea Sprite bikes ordered. Let X number of boy's Trail Blazer bikes ordered.) (a) Formulate a model for this problem. B.L. storage space assembly time order size (b) Solve your model with any computer package available to you. How many of each kind of bike should be ordered? What will the profit be?