Formulate the following problem as a Linear Programming Problem in standard minimization form $($specify variables, objective function, and constraints$).$ Then, set up the initial tableau and solve this minimization problem using LP Assistant. Take a screenshot of your LP Assistant solution.

A steel company has two mills. Mill $1$ costs $$70,000$ per day to operate, and it can produce $400$ tons of high$-$grade steel, $500$ tons of medium$-$grade steel, and $450$ tons of low$-$grade steel each day. Mill $2$ costs $$60,000$ per day to operate, and it can produce $350$ tons of high$-$grade steel, $600$ tons of medium$-$grade steel, and $400$ tons of low$-$grade steel each day. The company has orders totaling $100,000$ tons of highgrade steel, $150,000$ tons of medium$-$grade steel, and $124,500$ tons of low$-$grade steel. How many days should the company run each mill to minimize its costs and still fill the orders?