The Advanced Tech Company has a project to design an integrated information data base for a major bank. Data for the project are

given in the following table. Indirect project costs amount to $$150$ per day. The company will incur a $$200$ per day penalty for each day

the project lasts beyond day $16.$

a$.$ What is the project's duration if only normal times are used?

The project duration is day$($s$).($Enter your response as an integer.$)$b$.$ What is the$$ minimum$-$cost schedule?c$.$ What is the critical path for the$$ minimum$-$cost schedule?