MODELING WITH SYSTEMS OF INEQUALITIESCOMMON CORE ALGEBRA I HOMEWORKAPPLICATIONS1. Jody is working two jobs, one as a carpenter and one as a website designet. He can work at most 50 hoursper week and makes $35 per hour as a carpenters and $75 an hour as a website designer. He wants to makeat least $2350 per week but also wants to work at least 10 hours per week as a carpenter. Let c represent thehours he works as a carpenter and let w represent the hours he works as a website designer.(a) Write a system of inequalities that models this b) What is the maximum amount of money thatscenario.Jody can make in a week given the system in(a)? Explain your reasoning.