SOLUTION: Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood       Log On


   



Question 1201877: Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood are required by regular customers. The profit on a unit of lumber is $25 and on a unit of plywood is $38. How many units of each type should the mill produce in order to maximize profit.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

First, the company must produce 100 units of lumbers and 150 units of plywood that are required by regular customers.


Then they can start thinking.


Obviously, the rest 400 - (100+150) = 150 units should be plywood, since a unit of plywood 
generates higher profit than a unit of lumber.


It is called "use the most aggressive strategy".


ANSWER.  The last 150 units should be plywood.

Solved, with explanations.