Manufacturer makes two types of electric hammers, heavy duty and regular. Heavy duty model requires 3 hours to assemble and %2 hour to finish and package. Regular one requires 2 hours to assemble and 1 hour to finish and package. The maximum number of assembly hours is 24 per day, and the maximum number hours available for finishing and packaging is 8 per day. If profit on heavy duty model is $90 per unit and profit on regular model is $72 per unit, how many of each model will maximize profit? Steps (show work for credit). 1) Set up system of inequalities, find constraints and solve. 2) Graph the constraints and find feasible region. 3) Find point that produces the maximum profit. Show work and use full sentences to answer the question