Matthew & Co. produces two types of photocopying machines, each on a separate assembly line. The respective capacities of the lines are 800, and 750 machines per day. Type 1 machine uses 8 units of a certain electronic component and type 2 uses 5 units. The supplier of the component can provide 1200 pieces a day. The prices per machine for the types are $60, $30 respectively. 1.Determine the optimum daily production mix 2.The present production schedule meets Company needs. However, because of competition, the Company may needs to lower the price of type 2 machine. What is the most reduction that can be effected without changing the present production schedule? 3.The Company has decided to slash the price of all machines types by 25%. Use sensitivity analysis to determine if the optimum solution remains unchanged