SOLUTION: Producing x units of tacos costs C(x)=5x+20; revenue is R(x)=15x, where C(x) and R(x) are in dollars. a. What is the break-even quantity? b. What is the profit from 100 units? c

Question 274393: Producing x units of tacos costs C(x)=5x+20; revenue is R(x)=15x, where C(x) and R(x) are in dollars.
a. What is the break-even quantity?
b. What is the profit from 100 units?
c. How many units will produce a profit of $500?
Found 2 solutions by stanbon, meeelisa21:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Producing x units of tacos costs C(x)=5x+20; revenue is R(x)=15x, where C(x) and R(x) are in dollars.
a. What is the break-even quantity?
Solve: C(x) = R(x)
5x+20 = 15x
10x = 20
x = 2
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b. What is the profit from 100 units?
Solve: R(100) = 15*100 = 1500
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c. How many units will produce a profit of $500?
Solve: 15x = 500
x = 100/3 = 33 1/3
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Cheers,
Stan H.
Answer by meeelisa21(1) (Show Source): You can put this solution on YOUR website!
The correct answer to b is:
P(x)=R(x)-C(x)
P(x)=15x-(5x+20)
P(x)=15x-5x-20
=10x-20
Now put in 100 units
10(100)-20
1000-20 = 980 units
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