A linear programming computer package is needed.

price data $($in price per unit$)$ are as follows.

if the total number of units ordered is within its capacity. Supplier capacities are as follows.

Component $1,$ Supplier $1$

units

Component $1,$ Supplier $2$

units

Component $1,$ Supplier $3$

units

Component $2,$ Supplier $1$

units

Component $2,$ Supplier $2$

$$nits

Component $2,$ Supplier $3$

units

$($b$)$ What is the total purchase cost $($in $ $)$ for the components?

Please solve all parts.