Two offices process applications in a slightly different manner and at a different rate. Due to contract provisions, each office can process at most $500$ units in a day. Demand for these applications is limited to $800$ per day across both offices, for which the company is paid $$10$ per application processed. If Office $1$ processes X applications, then the cost is $125$X$1/2.$ For Office $2,$ the cost of processing Y applications is $235$Y$1/3.$

Part $2.$ Solve using Evolutionary Solver starting with a solution of $10,10.$ Comment on the solution process you needed. You will need limits on the variables and you need to use a penalized constraint.