LP HW 13.1 duality word problem 1
Exam 1 Math 484 Sprng 2007 Bob’s Cutlery makes salad forks and runcible spoons. They sell each fork for $24
and each spoon for $28. Each fork requires 4 ounces of pewter and 6 ounces of
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ebony; each spoon requires 8 ounces of pewter and 5 ounces of ebony. has
1500 ounces of pewter and 1200 ounces of ebony in stock. Assume unlimited demand
and allow continuous variation of quantity.
• a) With his current stock, how many forks and runcible spoons should the
company make?
• b) If no more ebony is available but pewter is available at $1.00/ounce, should
buy more? If so, how much
more? If not, should he sell? How much?
• c) If no more pewter is available but ebony is available at $2.00/ounce, should
buy more? If so, how much
more? If not, should he sell? How much?
• d) If both pewter and ebony are available, at $1/oz and $2/oz, respectively, how
much of each should buy if he only has $1000 to spend?
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