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
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all-beef hot dogs - 1 package requires 1 lb of beef
regular hot dogs - 1 package req
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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
------------------------------------- = 200 lbs / 1 lb = 150 lbs / .5 lbs This is because once you run out of pork, the leftover
beef does you no good
------------------ This is the most y can be
------------------ this is 200 - 25
------------------ this is 200 - 50
------------------ this is 200 - 75
------------------ this is 200 - 100
------------------ this is 200 - 125
------------------ 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