(1 point A couple wants to invest up to $20000. They can purchase a type A bond yielding 10.25% return and a type B bond yielding a 12.25% return on the amount invested. They also want to invest at least as much in the type A bond as in the type B bond. They will also invest at least $10000 in type A and no more than $17000 in type B bond. How much should they invest in each type of bond to maximize their return? Let x be the amount invested in type A bond and y the amount invested in type B bond. a) Write the objective function to be maximized. b) The feasible region has 3 corner points. List the three points Corner points: c) Determine the amount to be invested in each bond to maximize the return and determine the maximum return: Amount to be invested in type A bonds:$ Amount to be invested in type B bonds: $ Maximum return l