Let $x_4=$ number of boy's Trail Blazer bikes ordered.$)$

$($a$)$ Formulate a model for this problem.

Max$40x_1+26x_2+23x_3+20x_4$

$s.t.$

storage space $2x_1+2x_2+x_3+x_{4}530$

assembly time $|j{x}_1+0{}_2+4{}_3+4{}_{3}1100$

$,x_1+x_2+x_3+x_{4}275$

$x_1,x_2,x_3,x_{4}0$

$($b$)$ Solve your model with any computer package available to you.

How many of each kind of bike should be ordered?

$x_1=$

$x_2=$

$x_3=$

$x_4=$

What will the profit be$?$

$($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?

Yes

No

$($e$)$ Over what range of assembly hours is the dual value applicable?

The range is from a low of