Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table:

HOURS REQUIRED PER BAG

Product Cutting and Dyeing Sewing and Finishing

Standard bag $1/21$

Deluxe bag $12/3$

The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows:

Product Profit Per Unit $($$$)$

Standard bag $10$

Deluxe bag $8$

Activity Weekly Hours Available

Cutting and dyeing $300$

Sewing and finishing $360$

Par, Inc., will sell whatever quantities it produces of these two products.

Find the mix of standard and deluxe golf bags to produce per week that maximizes weekly profit from these activities. x$1=$

$[$ Select $]$

$,$ x$2=$

$[$ Select $]$

What is the value of the profit? $

$[$ Select $]$

How much would profits decrease if sewing and finishing hours were reduced by $40$ hours $=$ $