Help please! 10 points!10: Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each. It takes Gavin 4 hours and $10 worth of supplies to build each chair. A table requires 10 hours and $15 worth of supplies to make. Gavin wants to work for no more than 40 hours per week and spend no more than $80 on materials. Write a system of inequalities and state 3 possible combos.

Let's assume number of chairs =xnumber of tables =ywe are given Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 eachSo, we can find objective function as[tex] Z=45x+70y [/tex]now, we can find inequalitiesA table requires 10 hours and $15 worth of supplies to makeso, total hours to make table =10yamount spent on table =15yIt takes Gavin 4 hours and $10 worth of supplies to build each chairso, total hours to make chair =4xamount spent on chair =10xtotal number of hours to make chair and table =4x+10yGavin wants to work for no more than 40 hours per weekso, we get [tex] 4x+10y\leq 40 [/tex]spend no more than $80 on materialsso, we get [tex] 10x+15y\leq 80 [/tex]so, objective function:[tex] Z=45x+70y [/tex]Constraints:[tex] 4x+10y\leq 40 [/tex][tex] 10x+15y\leq 80 [/tex]