Chapter $7-$ Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in San Diego and Houston and consider new plants in Tulsa, St$.$ Louis, and Porland. Finished control panels are to be shipped to Seattle, Denver, and Kansas Ciry. Pertiment information is given in the table below.

$\backslash$table$[[$Sources$,\backslash$table$[[$Construction$],[$Cost$]],$Shipping Cost to Destination,Capacity$],[$Seattle$,$Denver,Kansas City$],[\frac{?}{\text{b}\text{a}\text{r}}($ San Diego $),-,5,\backslash$table$[[7],[7]],8,2500],[$Houston$,-,10,8,6,2600],[$Tulsa$,350,000,9,4,3,11,000],[$St$.$ Louis,$200,000,12,6,2,12,000],[$Portland$,480\mathrm{.}000,4,10,11,10,000],[$Demand$,3000,8000,9000,]]$

Develop a model whose solution would reveal which plants to build and the optimal shipping schedule.