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What we have We have four products: Scones ($1 revenue) Bagels ($2 revenue) Donuts($0.25 revenue) Cookies ($0.75 revenue) You have 130 lbs of butter. You

What we have

  • We have four products:
    • Scones ($1 revenue)
    • Bagels ($2 revenue)
    • Donuts($0.25 revenue)
    • Cookies ($0.75 revenue)

  • You have 130 lbs of butter.
  • You have 300 lbs of flour.
  • You have 180 eggs.
  • You have 160 lbs of sugar.
  • You have 100 gallons of milk.

What we know

  • A scone requires 0.05 lbs butter, 0.2 lbs flour, 0.25 eggs, 0.1 lbs sugar, and 0.02 gallons of milk.
  • A bagel requires 0.15 lbs butter, 0.25 lbs flour, 0.1 eggs, 0.05 lbs sugar, and 0.01 gallons of milk.
  • A donut requires 0.05 lbs butter, 0.08 lbs flour, 0.2 eggs, 0.15 lbs sugar, and 0.15 gallons of milk.
  • A cookie requires 0.15 lbs butter, 0.3 lbs flour, 0.05 eggs, 0.12 lbs sugar, and 0.05 gallons of milk.
  • To have enough items on display and to keep the bakers busy, you must produce at least 100 of each.
  • However, since these are perishable goods, we seldom manage to sell more than 500 of each before the remainder go bad, so don't make more than 500 of any item.
  • Because of past demand patterns, you should make 2 donuts for each bagel and 3 cookies for each scone.

Find out

  • How many of each type of item do we make?
  • What happens when our constraints change?
  • What happens if the objective function coefficient changes?

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