Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lane must purchase at least seven items. If Lane wants to spend as much as possible on his gift card by purchasing the most items, which combination of movies and newly released video games is optimal?

A. (5,4)
B. (10,2)
C. (12,4)
D. (15,0)

@alones

Question

Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lane must purchase at least seven items.  If Lane wants to spend as much as possible on his gift card by purchasing the most items, which combination of movies and newly released video games is optimal?

A. (5,4)
B. (10,2)
C. (12,4)
D. (15,0) 

@alones

liv1234 · Answer

It could be either A, B, or D, I got $300 for all of them, wait! I should show you the graph, I totally forgot about it!

alones · Answer

Lol alright.

liv1234 · Answer

attachment

liv1234 · Answer

okay, so how do I use the graph to solve?

liv1234 · Answer

I feel like it would be option B because that's the most amount of items he can buy without going over $300

alones · Answer

I was thinking of B also. But I'm not sure.