Power Generator Selection $(10$ marks$)$

Mason Power has $4$ generators currently available for production and wishes to decide which to put online to meet the expected $700-$megawatt peak demand. The following table shows the cost to operate each generator $($in thousands of dollars per hour$)$ and their outputs $($in megawatts$).$

Generator

$1234$

Operation Cost $712514$

Output Power $3006005001600\backslash$table$[[,$Generator,,,$],[,1,2,3,14],[$Operation Cost,$7,12,5,1600],[$Output Power,$300,600,500,]]$

The company wants to minimize the total operating cost.

Solve the formulated problem through the Branch and Bound algorithm and determine which generators will be selected.