# 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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 Click here to see ALL problems on Linear-systems 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(13716)   (Show Source): You can put this solution on YOUR website! x = packages of reg hotdogs produced y = packages of beef hotdogs produced ------------------------------------- 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 ------------------------------------- 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 ------------------ Now list the profit in each case ------------------ ------------------ 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