A couple wants to invest up to $20000. They can purchase a type of a bond yielding 8.5% return and a type B bond yielding a 13% 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 $12000 in type B bond.
Let x be the amount invested in type A and y the amount invested in type B bond.
a) write the objective function to be maximized.
P=______
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 is: $______