SOLUTION: In a specific video game scenario you're given 1000 gold. You can either try and marines to defend your base at 50 gold or piece or research weapon upgrades at 200 gold per upgrad

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Question 981076: In a specific video game scenario you're given 1000 gold. You can either try and marines to defend your base at 50 gold or piece or research weapon upgrades at 200 gold per upgrade. The game allows a maximum of three upgrades, and you know that you need at least 10 Marines trained to survive the next level which of the following system correctly describes the number of Marines (m) and the number of upgrades (u) you can train/purchase in the game.
A. M>o , u>o, 50m+200u<1000
B. M>10, u>0, 50m+200u<1000
C.m>10, u>0, u<3, m+u<1000
D. M>10, u>0, u<3, 50m+200u<1000
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
m = number of marines
u = number of upgrades

You need at least 10 marines, so

The number of upgrades could be 0 or some positive number

But "The game allows a maximum of three upgrades", which further means

it costs 50 gold per marine and 200 gold per upgrade so is the total cost for m marines and u upgrades. You have a max of 1000 gold which means

The system of inequalities is

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Side Note: The two inequalities and can be combined into