Problem $8-21($Algorithmic$)$

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multicolumn$\{5\}\{|$c$|\}\{$ Rental Class $\}\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{3\}\{*\}\{$ Room $\}$ & & Super Saver & Deluxe & Business $\backslash \backslash$

$\backslash$cline $\{2-5\}$ & Type I & $\backslash (\backslash$$ $36\backslash )$ & $\backslash (\backslash$$ $38\backslash )$ & $-\backslash \backslash$

$\backslash$cline $\{2-5\}$ & Type II & $\backslash (\backslash$$ $15\backslash )$ & $\backslash (\backslash$$ $26\backslash )$ & $\backslash (\backslash$$ $38\backslash )\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Type I rooms do not have wireless Internet access and are not available for the Business rental class.

a$.$ Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|\}$

$\backslash$hline Variable & $\backslash$# of reservations $\backslash \backslash$

$\backslash$hline SuperSaver rentals allocated to room type I & $\backslash \backslash$

$\backslash$hline SuperSaver rentals allocated to room type II & $\backslash \backslash$

$\backslash$hline Deluxe rentals allocated to room type I & $\backslash \backslash$

$\backslash$hline Deluxe rentals allocated to room type II & $\backslash \backslash$

$\backslash$hline Business rentals allocated to room type II & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$ Is the demand by any rental class not satisfied?

Explain.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

b$.$ How many reservations can be accommodated in each rental class?

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|\}$

$\backslash$hline Rental Class & $\backslash$begin$\{$tabular$\}\{$l$\}$

$\backslash$# of $\backslash \backslash$

reservations

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline SuperSaver & $\backslash \backslash$

$\backslash$hline Deluxe & $\backslash \backslash$

$\backslash$hline Business & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$ Why?

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

e$.$ Could the linear programming model be modified to plan for the allocation of rental demand for the next night?

What information would be needed and how would the model change?

The input in the box below will not be graded, but may be reviewed and considered by your instructor.