Find the intersection point between the 2 restraint equations:

Substitute back in to find y-value:

P is maximized at point (12,6)
24 cans/ 96 people = x cans/28 people
using cross products
24 * 28 = 96 *x
divide by 96 on each side
24*28/96 = x
672/96=x
7=x
You will need 7 cans
or
96/24= 4 people per can
28 people /4 people per can = 7 cans
OP = 4 because its a radius of the smaller circle which has a radius of 4 and all radii of the same circle are the same length.
C) 4
Rays are named according to their endpoints, the first one named is the "starting" endpoint, the second one is the one that will continue on into infinity. Therefore, ray BA has a terminal endpoint at B and goes through point A into infinity. Ray AB has a terminal endpoint at A and goes through point B into infinity. Definitely NOT the same ray.