A larger 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 2 feet, but a child's nike needs only 1 foot. The store has 500 feet of space. There are 1200 hours of assembly time available.

The child's bike 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.

a.

formulate a model for this problem

b.

solve your model with any computer package available to you. (in class we use excel for Goal Seek and Solver.if that helps)

c.

how many of each kind if bike should be ordered and what will profit be?

d.

what would the profit be if the store had 100 more feet of storage space?

e.

if the profit in the cityscape increases to 35.00, will any of the cityscape bikes be ordered?

f.

over what range of assembly hours is the dual price applicable?

g.

if we require 5 more bikes in inventory, what will happen to the value of the optimal solution?

h.

which resource should the company work to increase, inventory space or assembly time?

*****Professor wants us to take the data and create tables***** We use Excel for Goal seek and solver to formulate.*** A larger 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 ordere are 30, 25, 22, and 20. The LP model should maximize profit. There are several conditions that the store needs to worry ab inventory. An Adult's bike needs 2 feet, but a child's nike needs only 1 foot. The store has 500 feet of space. There are 120 The child's bike need 4 hours of assembly time; the open trail needs 5 hours and the cityscape needs 6 hours. The store wo bikes. a. formulate a model for this problem b. solve your model with any computer package available to you. (in class we use excel for Goal Seek and Solver.... c. how many of each kind if bike should be ordered and what will profit be? d. what would the profit be if the store had 100 more feet of storage space? e. if the profit in the cityscape increases to 35.00, will any of the cityscape bikes be ordered? f. over what range of assembly hours is the dual price applicable? g. if we require 5 more bikes in inventory, what will happen to the value of the optimal solution? h. which resource should the company work to increase, inventory space or assembly time? nd solver to formulate.******* ed that every bike ordered will be sold, and their profits, respectively, he store needs to worry about. One of these is space to hold the et of space. There are 1200 hours of assembly time available. eds 6 hours. The store would like to place an order for at least 275 or Goal Seek and Solver....if that helps)