PROBLEM$-1)(20$ pts$)$ An automotive company manufactures products $x$ and $Y.$ A master

production schedule has been established for these products as shown in the table below, stating the weeks

in which assembly start is planned for each product.

To assemble product $x,3$ pieces of item A and $1$ of item $B$ are required, and to assemble product $Y,2$ piece

of item B and $3$ pieces of item D$.$ The following data describe the items. For Product X$,$ the current inventory

is $20,$ and ending inventory should be $12.$ For Product Y$,$ the current inventory is $20,$ and ending

inventory should be $15.$

$K=150$

$h=1$