$1.$ What is the optimal production quantity of Queen size? Please keep two decimal places.

$2.$ which of the following statement is correct?

Select one:

a$.$ Full's reduced cost is not correct

b$.$ King's reduced cost is not correct

c$.$ Queen's reduced cost is not correct

d$.$ All the reduced cost are correct

$3.$ If the unit profit for queen size increases to $9\mathrm{.}5,$ what would be the optimal profit? Please keep two decimal places.

$4.$ How much would company$$s optimal profit increase if they can get $100$ units of stuffing? Please keep two decimal places.

$5.$ What is the shadow price for sewing hours? Please keep two decimal places.