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 89331: 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 and inequality and draw a graph to depict what combinations 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) (Show Source):
You can put this solution on YOUR website!
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 and inequality and draw a graph to depict what combinations 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 # of blueberry be "b"; Let number of peach be "p"
Value of blueberry trees is 2.5b
Value of peach trees is 5.5p
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INEQUALITY:
2.5b + 5.5p <= 500
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Solve for b to get:
b <= -(5.5/2.5)p + 500/2.5
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Graph:

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The vertical axis is a count of # of blueberry bushes
The horizontal axis is a count of # of peach trees.
Points on the line give # of peach and # of blue (p,b) trees
she can buy for $500.
Points below the line in the 1st quadrant give p,b combinations where
she would be spending less than $500.
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Cheers,
stan H.