Linear Programming

ardenarden

New member
Joined
Mar 11, 2010
Messages
5
I'm really stumped on this one...

A sporting goods company makes basketballs and footballs. EAch product is produced from two resources - rubber and leather. The resource requirements for each product and the total resources available are as follows:

Resource Requirements per Unit
Product Rubber (lb) Leather (ft.^2)
Basektball: 3(lb) 4 (ft.^2)
Football: 2 (lb) 5 (ft.^2)
Total Resources Avail : 500 lb. 800 ft^2

Questions:
A. I need help to identify the amount of unused resources at each of the graphical extreme points
B. What would be the effect on the optimal solution if the profit for a basketball changed from $12 to $13? What would be the effect if the profit for a football changed from $16 to $15?
C. What would be the effect on the optimal solutions if 500 additional s.f. of leather could be obtained?
 
If anyone could help me with this one I would greatly appreciate it.

I understand that I need to calculate the total profit of x and maximum y but really need help in this area.

Thank you!
 
basket =x
futball =y
lb ft2
basket 3y 4y
futball 2x 5x

3y+2x<= 500
4y+5x<= 800
your equation to max.
12x + 16y = max
graphic these inequations and look for an edge has goes to be your maximum
 
Top