PRODUCTION SCHEDULING Wayland Company manufactures two models of its twin-size futons, standard and deluxe, in two locations, I and II. The maximum output at Location I is
600
/
week
, whereas the maximum output at Location II is
400
/
week
. The profit per futon for standard and deluxe models manufactured at Location I is
$
30
and
$
20
, respectively; the profit per futon for standard and deluxe models manufactured at Location II is
$
34
and
$
18
, respectively. For a certain week, the company has received an order for
600
standard models and
300
deluxe models. If prior commitments dictate that the number of deluxe models manufactured at Location II not exceed the number of standard models manufactured there by more than
50
, find how many of each model should be manufactured at each location to satisfy the order and at the same time maximize Wayland’s profit. What is the maximum profit?