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

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

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

a$.$Find the mix of standard and deluxe golf bags to produce per week that maximizes weekly profit from these activities. $x1=[Blank1],x2=[Blank2]$

Standard Bag

Deluxe Bag

b$.$ What is the value of the profit? Blank$3]$

round to the nearest whole number

c$.$ How much would profits decrease if sewing and finishing hours were reduced by $40$ hours Blank$4]$