For each problem, you need to indude all the analytical procedure for partial points. The procedure should include: Objective Function, Restrictve Functions, Optimal Points calculation, Chart, and Selection of from the optimal points objective function. II the procedure is not included the question will be graded $0$ or $20$ points.

Based on the following information, caibalate the Minimum Cost for the following linear programming problem

There is a Distribution Cenler capatie to dithbute two products to two assembly lines for warehouse retails business. The assembly line located in NC requies a minimum of $3000$ hours of production while the one located in FL requires some minimum of $2000$ hours. The assembly for product A requires $20$ minutes in $NC$ or $30$ minutes in FL$.$ The assembly of the prodict B requires $30$ minutes in NC and $25$ minutes in FL$.$ The assembly cost in $NC$ is $$500$ for A and $$400$ for $B.$ Products A and $B$ cannot be negative.