+0  
 
0
37
2
avatar

I make model spaceships. Two kinds, the Ragnarok and the Sicarious. My Ragnarok takes 5 minutes to mold, 3 for the machining and 5 for the assembly. Each Sicarious takes 6 minutes for molding, 2 minutes to machine and 18 minutes of assembly. I can only afford to run my factory to accompany for 240 minutes of molding, 120 minutes of machining and 540 minutes of assembly time. I sell the Ragnarok for 45 dollars and the Sicarious for 20 dollars. How many of each should I produce to maximize profit? What is my profit?

Guest Oct 27, 2017
Sort: 

2+0 Answers

 #1
avatar+78590 
+1

Let  x be the number  of  Ragnarok and  y  the number of Sicarious

 

Here are the constraints :  

 

5x + 6y  ≤  240

3x  + 2y  ≤ 120

5x + 18y ≤  540

 

And we want to maximize this

45x +  20y

 

Look at the graph , here :

 

https://www.desmos.com/calculator/imsgkj9fb3

 

The profit will be maximized at an integer corner point in the feasible region....there is only one at (18 , 25)

 

So......we should produce 18 of the  Ragnarok  model  and 25 of the Sicarious model

 

And the max profit is  $ 1310

 

EDITED  ANSWER CORRECTING AN EARLIER MISTAKE  !!!

 

 

cool cool cool

CPhill  Oct 27, 2017
edited by CPhill  Oct 27, 2017
 #2
avatar
0

Thanks man, you're the best!

Guest Oct 27, 2017

16 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details