SOLUTION: How many packs of each hot dogs should be made to maximize profits and what is the profits? all-beef hot dogs - 1 package requires 1 lb of beef regular hot dogs

SOLUTION: How many packs of each hot dogs should be made to maximize profits and what is the profits? all-beef hot dogs - 1 package requires 1 lb of beef regular hot dogs - 1 package req

Question 110305: How many packs of each hot dogs should be made to maximize profits and what is the profits?
all-beef hot dogs - 1 package requires 1 lb of beef
regular hot dogs - 1 package requires 1/2 lb of beef and 1/2 lb of pork
40 cent profit on each package of all-beef hot dogs
30 cent profit on each package of regular hot dogs
200 lbs of beef and 150 lbs of pork are available
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
x = packages of reg hotdogs produced
y = packages of beef hotdogs produced
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all-beef hot dogs - 1 package requires 1 lb of beef
regular hot dogs - 1 package requires 1/2 lb of beef and 1/2 lb of pork
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200 lbs of beef and 150 lbs of pork are available
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= 200 lbs / 1 lb

= 150 lbs / .5 lbs
This is because once you run out of pork, the leftover
beef does you no good
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This is the most y can be
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this is 200 - 25
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this is 200 - 50
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this is 200 - 75
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this is 200 - 100
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this is 200 - 125
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this is 200 - 150
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Now list the profit in each case
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It looks like 300 packages of regular and 50 packages of beef
hotdogs will maximize profit at $110
To verify, I'll look at profits with a change of 2 packages for x

So it looks like $110 is the maxprofit

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