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 $52000 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.

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 $52000 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.

jhonyy9 · Answer

any idea ?

you know that x+y = 60000

jhonyy9 · Answer

and again what you know ?