# Algebra 1 Word Problem (Reiny)

How am I supposed to solve this?

"Sandy makes \$2 profit on every cup of lemonade that she sells and \$1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least \$25 per day. Show and describe all the possible combinations of lemonade and cupcakes that sandy needs to sell to meet her goals. List two possible combinations."

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1. maximize p = profit = 2 L + 1 C >/= 25

L >/= 5
C>/=5

10+C >/= 25
C >/= 15

if L = 6
12 + C >/= 25
C >/= 13
so
L 7, C 11
L 8 ,C 9
L 9 , C 7
L 10, C 5
are your MINIMUM combinations. Of course you can always sell more

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2. I apologize, but I still don't understand.

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so I started there
to get \$25 I needed at least 15 cupcakes
until finally I got to 10 lemonades and 5 cupcakes
I had to have at least 5 cupcakes, so there it ended

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4. How would I construct a graph for this?

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