SOLUTION: Break-Even Analysis To produce x units of a religious medal costs C(x)=12x+30. The revenue is R(x)=25x. Both C(x)and R(x)are in dollars. a. Find the break-even quantity. b. Fin

Question 119730: Break-Even Analysis To produce x units of a religious
medal costs C(x)=12x+30. The revenue is R(x)=25x.
Both C(x)and R(x)are in dollars.
a. Find the break-even quantity.
b. Find the profit from 250 units.
c. Find the number of units that must be produced for a
profit of $130.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Break-Even Analysis To produce x units of a religious
medal costs C(x)=12x+30. The revenue is R(x)=25x.
Both C(x)and R(x)are in dollars.
:
a. Find the break-even quantity.
Break even occurs when Revenue = Cost
25x = 12x + 30
25x - 12x = 30
13x = 30
x = = 2.3 units which isn't a unit at all choose 2 units or 3 units
:
b. Find the profit from 250 units.
Profit = Revenue - Cost
P = 25x - (12x + 30)
P = 25x - 12x - 30; removing the brackets changes the signs
P = 13x - 30
Substitute 250 for x to find the profit on 250 units
P = 13(250) - 30
P = 3250 - 30
P = $3,220 is the profit on 250 units
:
c. Find the number of units that must be produced for a
profit of $130.
Use the above equation 13x - 30 = P substitute 130 for P and find x
13x - 30 = 130
13x = 130 + 30
13x = 160
x =
x = 12.3 ~ 13 units to make at least a $130 profit
:
:
We can confirm that:
13(12) - 30 = $126
13(13) - 30 = $139
:
:
How about this, did it all make sense to you? Any questions?
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