A couple wants to invest up to $60000. They can purchase a type A bond yielding 12% return and a type B bond yielding a 14.5% 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 $30000 in type A and no more than $44000 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.

Question

A couple wants to invest up to $60000. They can purchase a type A bond yielding 12% return and a type B bond yielding a 14.5% 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 $30000 in type A and no more than $44000 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.