Problem $7(15$ points$).$ The following products are produced in a factory that works $250$ days per year. Based on the information below, answer the questions.

FG$1$

FG$2$

Cost per order

$$20$

$$25$

Leadtime $($days$)$

$5$

$5$

Daily Production $($units$)$

$150$

$180$

Daily Demand $($units$)$

$100$

$175$

Holding cost$/$year

$$10$

$$115$

$(5$ points$).$ Find the container size $($EOQ$)$ per product.

$(10$ points$).$ Find the minimum number of Kanban cards needed to avoid shortages $($assume $15\%$ safety factor$)$ per product.