Problem $9-11($Algorithmic$)$

Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company$$s needs. In addition, the suppliers charge different prices for the components. Component price data $($in price per unit$)$ are as follows:

Supplier

Component $123$

$1$ $$10$ $$14$ $$10$

$2$ $$12$ $$12$ $$10$

Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component $1,$ component $2,$ or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows:

Supplier $123$

Capacity $6251000800$

If the Edwards production plan for the next period includes $1025$ units of component $1$ and $825$ units of component $2,$ what purchases do you recommend? That is$,$ how many units of each component should be ordered from each supplier?

Supplier

$123$

Component $1$ fill in the blank $1$ fill in the blank $2$ fill in the blank $3$

Component $2$ fill in the blank $4$ fill in the blank $5$ fill in the blank $6$

What is the total purchase cost for the components?

$ fill in the blank $7$