Question: 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. The objective function represents profit. The constraints represent inventory space available measured in feet, available assembly time, and total bikes being ordered for inventory. Use the output to answer these questions.

a. How many of each bike will be ordered?

b. How much inventory space is unused? Is this a binding constraint?

c. How much assembly time will be left unused? Is this a binding constraint?

d. What will the profit be?

e. If the profit on the Cityscape increases to $35, will any of the Cityscape bikes be ordered?

f. What would the profit be if the store had 100 more feet of storage space?

g. At will happen to the value of the objective function if 5 more bikes are to be ordered for inventory?

h. Which resource should the company work to increase, inventory space or assembly time?

i. Over what range of assembly hours is the dual price applicable?