SOLUTION: snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a u

Algebra ->  Finance -> SOLUTION: snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a u      Log On


   

Question 251753: snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $17680?
Snookers Lumber must produce and sell _ units of lumber and _ units of plywood to make a profit of $15680.


A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour? How many 60-second commercials?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $15680?
Snookers Lumber must produce and sell _ units of lumber and _ units of plywood to make a profit of $15680.
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Value Equation: 20L + 50P = 17680
Quantity Eq:::: P = 3L
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Substitute for "P" and solve for "L":
20L + 50*3L = 15680
20L + 150L = 15680
70L = 15680
L = 224 (# of units of lumber produced and sold)
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P = 3L ; P = 3*224 = 672 (# of units of plywood produced and sold)
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A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour? How many 60-second commercials?
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Equation:
T + S = 12
30T + 60S = 8*60 seconds
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T = 12-S
Substitute for T and solve for "S":
30(12-S) + 60S = 8*60
30*12 - 30S + 60S = 8*60
30S = 480-360
30S = 120
S = 4 (# of sixty seconds commercials)
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Since T = 12-S, T = 8 (@ of thirty second commercials)
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Cheers,
Stan H.