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

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) (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.

RELATED QUESTIONS
Lumber Company can convert logs into either Lumber or plywood. In a given week the mill... (answered by ikleyn)

Linear programming solve and graph Lumber Company can convert logs into either Lumber... (answered by stanbon)

Snookers Lumber can convert logs into either lumber or plywood. In a given day the mill... (answered by Theo)

Smokers lumber can convert logs into either lumber or plywood. In a given day the mill... (answered by rwm)

A lumber yard can convert logs into either lumber or plywood. In a given day, the mill... (answered by richwmiller)

Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill (answered by stanbon)

Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill (answered by jim_thompson5910)

Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill... (answered by ankor@dixie-net.com)

Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill... (answered by josmiceli)