SOLUTION: Jemma Montini buys flowers and sells fancy centerpieces for tables.Her fixed costs
are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She ch
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are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She ch
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Question 89830: Jemma Montini buys flowers and sells fancy centerpieces for tables.Her fixed costs
are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She charges
$17 for each centerpiece.
Let x represent the number of centerpieces.
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1. Write the cost function for Jemma's business.
*
2. Write the revenue function.
*
3. Write the profit function.
*
4. Find Jemma's profit or loss if she sells 10 centerpieces.
*
5. Find Jemma's profit or loss if she sells 20 centerpieces.
*
12. Graph the cost function function on the axes at the right.
*
13. What appears to be the break-even point?
*
14. solve two equations simultaneously to find the break-even point.
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Please help me here and I greatly appreciate it if you help me. Once again
please and thank you sooo much. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Jemma Montini buys flowers and sells fancy centerpieces for tables.Her fixed costs are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She charges $17 for each centerpiece.
:
Let x represent the number of centerpieces.
*
1. Write the cost function for Jemma's business.
C(x) = 9x + 125 (per month)
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2. Write the revenue function.
R(x) = 17x
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3. Write the profit function.
P(x) = 17x - (9x+125)
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4. Find Jemma's profit or loss if she sells 10 centerpieces.
P(x) = 17x - (9x+125)
P(x) = 17(10) - (9(10) + 125)
P(x) = 170 - 90 - 125
P(x) = -45; (a loss)
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5. Find Jemma's profit or loss if she sells 20 centerpieces.
P(x) = 17x - (9x+125)
P(x) = 17(20) - (9(20) + 125)
P(x) = 340 - 180 - 125
p(x) = +35; (a profit)
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12. Graph the cost function and the revenue function on the axes at the right.
*
13. What appears to be the break-even point?
Using the graph it looks like x = 16 units, is the break-even point
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14. solve two equations simultaneously to find the break-even point.
This happens when cost = revenue
17x = 9x + 125
17x - 9x = 125
8x = 125
x = 125/8
x = 15.625, it occurs between 15 and 16 units
