Develop a$$ lot$-$for$-$lot solution and calculate total relevant costs for the gross requirements in the following$$ table$*.$

$$

Period

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Gross requirements

$20$

$40$

$40$

$70$

$20$

$20$

$70$

$50$

$*$Holding costequals$$$$1\mathrm{.}50/$unit$/$week; setup costequals$$$$150$; lead timeequals$1$week; beginning inventoryequals$40.$

Part $2$

Develop a$$ lot$-$for$-$lot solution $($enter your responses as whole numbers$).$

Period

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Gross requirements

$20$

$40$

$40$

$70$

$20$

$20$

$70$

$50$

$$On$-$hand at beginning of period

$40$

$$

$40$

$$

$20$

$$

$20$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$On$-$hand at end of period

$$

$20$

$$

$20$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

$$

$0$

Order receipt

$$

$0$

$$

$20$

$$

$0$

$$

$40$

$$

$70$

$$

$20$

$$

$0$

$$

$20$

$$

$70$

$$

$0$

$$

$50$

Order release

$$

$0$

$$

$20$

$$

$0$

$$

$40$

$$

$70$

$$

$20$

$$

$0$

$$

$20$

$$

$70$

$$

$0$

$$

$50$

Part $3$

The total cost is $$$

$$

enter your response here $($enter your response as a whole number$).$