Question 301353: I REALLY need help with this one!
Your company has decided to create three slot machine games: Money to Burn, Cash Crop and Adrenaline Rush. To create these games it takes a team that consists of a computer programmer, graphic artist and mathematician.
Money to Burn takes the programmer 9 hours, the graphic artist 6 hours, and the mathematician 1 hour to complete.
Cash Crop takes the programmer 10 hours, the graphic artist 4 hours, and the mathematician 2 hours.
Adrenaline Rush takes the programmer 12 hours, the graphic artist 4 hours, and the mathematician 1 hour.
If there are 398 programming hours available, 164 graphic artist hours available, and 58 mathematician hours available, how many copies of each game can be produced? Set up the systems of equations, and use any preferred method for solving. Be sure to check your results.
Any help would be most appreciated.
Thanks
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Money to Burn takes the programmer 9 hours, the graphic artist 6 hours, and the mathematician 1 hour to complete.
:
Cash Crop takes the programmer 10 hours, the graphic artist 4 hours, and the mathematician 2 hours.
:
Adrenaline Rush takes the programmer 12 hours, the graphic artist 4 hours, and the mathematician 1 hour.
:
If there are 398 programming hours available, 164 graphic artist hours available,
and 58 mathematician hours available, how many copies of each game can be produced?
Set up the systems of equations, and use any preferred method for solving.
:
Let m = Money to Burn copies
Let c = Cash Crop copies
Let a = Adren Rush copies
:
9m + 10c + 12a = 398, program hrs
6m + 4c + 4a = 164, graphic hrs
1m + 2c + 1a = 58, math hrs
:
Use the matrix feature on Ti83 or similar calc, enter:
9, 10, 12, 398
6, 4, 4, 164
1, 2, 1, 58
:
The solution m = 6, c = 20, a = 12
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