+0  
 
0
1894
2
avatar

A factory can produce two products, x and y, with a profit approximated by P=14x+22y-900. The production of y must exceed the production of x by at least 100 units. Moreoever, production levels are limited by the formula x+2y =< 1400.

 

a. Identify the vertices of the feasible region.

b. What production levels yield the maximum profit, and what is the maximum profit?

 Jan 12, 2016

Best Answer 

 #1
avatar+130511 
+5

See the graph  of the constraints, here : https://www.desmos.com/calculator/laixdb2hd8

 

There is only one corner point [vertex] at (400,500)

 

The max profit will be :

 

P = 14(400) + 22(500)  - 900  = $15700

 

 

 

cool cool cool

 Jan 12, 2016
 #1
avatar+130511 
+5
Best Answer

See the graph  of the constraints, here : https://www.desmos.com/calculator/laixdb2hd8

 

There is only one corner point [vertex] at (400,500)

 

The max profit will be :

 

P = 14(400) + 22(500)  - 900  = $15700

 

 

 

cool cool cool

CPhill Jan 12, 2016
 #2
avatar
+5

Thanks! :)

 Jan 12, 2016

0 Online Users