A landscape architect plans to enclose a rectangular garden on one side by a brick wall costing $$70$ per foot and on the other three sides by a metal fence costing $$40$ per foot. If the area of the garden must be $1320$ square feet, determine the minimum cost to enclose the garden.

Choose the numeric value that most closely approximates the answer.

Possibilities:

$($a$)$ $$7301\mathrm{.}61$

$($b$)$ $$6816\mathrm{.}45$

$($c$)$ $$6882\mathrm{.}97$

$($d$)$ $$6983\mathrm{.}95$

$($e$)$ $$6401\mathrm{.}18$