Read carefully every statement and answer only what is asked. Show your work. 1. Electra produces four types of electric motors, each on a separate assembly line. The respective capac- ities of the lines are 500, 500, 800, and 750 motors per day. Type 1 motor uses 8 units of a certain electronic component, type 2 motor uses 5 units, type 3 motor uses 4 units, and type 4 motor uses 6 units. The supplier of the component can provide 8000 pieces a day. The prices per motor for the respective types are $60, $40, $25, $30. (a) Determine the optimum daily production mix. (b) By how much would the Electra's profit increase if its lines increased in one unit of capacity? (C) Would it be worth considering acquiring extra unitstof the electronic component? Why? (d) Currently, type 4 motor is not produced. By how much should its price be increased to be included in the production schedule