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 $30,25,22,$ and $20.$ 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 two feet, but a child's bike needs only one foot. The store has $500$ feet of space. There are $1200$ hours of assembly time available. The child's bike needs $4$ 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. The LP problem formulated is as follows: MAX $30$ X$1+25$ X$2+22$X$3+20$ X$4$ SUBJECT TO $2)2$ X$1+2$ X$2+$ X$3+$ X$4<=500($Inventory Storage Space in feet$)3)5$ X$1+6$ X$2+4$ X$3+4$ X$4<=1200($Assembly time in hours$)4)$ X$1+$ X$2+$ X$3+$ X$4>=275($No$.$ of bikes to order$)$ The computer output for this LP problem is as follows: OBJECTIVE FUNCTION VALUE $1)6850\mathrm{.}0000$ VARIABLE VALUE REDUCED COST X$1100\mathrm{.}0000000\mathrm{.}000000$ X$20\mathrm{.}00000013\mathrm{.}000000$ X$3175\mathrm{.}0000000\mathrm{.}000000$ X$40\mathrm{.}0000002\mathrm{.}000000$ ROW SLACK OR SURPLUS DUAL PRICE $2125\mathrm{.}0000000\mathrm{.}00000030\mathrm{.}0000008\mathrm{.}00000040\mathrm{.}000000-10\mathrm{.}000000$ NO$.$ ITERATIONS $=2$ RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ. COEFFICIENT RANGES VARIABLE CURRENT COEFFICIENT ALLOWABLE INCREASE ALLOWANCE DECREASE X$130\mathrm{.}000000$ INFINITY $2\mathrm{.}500000$ X$225\mathrm{.}00000013\mathrm{.}000000$ INFINITY X$322\mathrm{.}0000002\mathrm{.}0000002\mathrm{.}000000$ X$420\mathrm{.}0000002\mathrm{.}000000$ INFINITY RIGHT HAND SIDE RANGES ROW CURRENT RHS ALLOWABLE INCREASE ALLOWANCE DECREASE $2500\mathrm{.}000000$ INFINITY $125\mathrm{.}00000031200\mathrm{.}000000125\mathrm{.}000000100\mathrm{.}0000004275\mathrm{.}00000025\mathrm{.}00000035\mathrm{.}000000$ Question: Which resource should the company work to increase, inventory storage space or assembly time? Inventory Storage Space Assembly time No$.$ of bikes to order None of the other three choices is correct