A larpe sporting gosds store is plasing on order for bisycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Cityscope, the girl's Ses Sprite, and the bey's Trail Blazer, It is assumed that every bike erdered will be sold, and theif profes, respectively, are 35,24,21, 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 sao feet of space. There are 1,150 hours of assembly time avalable. The child's bikes need a hours of assembly time, the Open Trail needs 5 hours, and the Cityscape needs 6 hours. The store would like to plase an order for at least 275 bikes. (Let x1= number of adst Open Trail bikes ordered. Let x2= number of adult Ctystape bikes ordered. Let x2= number of pir's Ses Sprite bikes ordered. Let X4= number of boy's Trail Blazer bikes ondered.) (o) Formulate a model for this problem. Max s.t. storage space assembly time order size x4,x2,x2,x40 (b) Solve your model with any esmputer package avblable to vou. How many of each kind of bike should be ordered? x1=x2=x3=x4= What will the profit be? (c) What would the profit be if the stoce had 100 more feet of shorage space? (d) If the profit on the Cityscape increases to 35, will any of the Cityscape bikes be ordered? Yes No (e) Over what range of assembly hours is the dasl 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 solutisn? (g) Which resource should the company work to increase, inventory soace or assembly time? assembly time inventory capacity