SOLUTION: Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. S

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Question 65672: Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.
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Let number of blueberry bushes be "b": Value of these is 2.50b dollars
Let number of peach trees be "p": Value of these is 5.50p dollars
INEQUALITY:
value + value<=500 dollars
2.5b+5.5p<=500
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Solve for p so you can graph it:
p=(-2.5/5.5)b+(500/5.5)
graph%28600%2C400%2C-10%2C220%2C-10%2C120%2C%28-2.5%2F5.5%29x%2B%28500%2F5.5%29%29
Cheers,
Stan H.