McBurger fast-food restaurant sells quarter-pounders and cheese burgers. A quarter-pounder uses a quarter of a pound of meat, and a cheese burger uses only .2 lb. The restaurant starts the day with 200 lb of meat but may order more at an additional cost of 25 cents per pound to cover the delivery cost. Any surplus meat at the end of the day is donated to charity. McBurger's profits are 20 cents for a quarter-pounder and 15 cents for a cheeseburger. All in all, McBurger does not expect to sell more than 900 sandwiches in any one day. How many of each type of sandwich should McBurger plan for the day? x1: # of quarter-pounders x2: # of cheese burgers Define the objective function. Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 < 0 and s2>0 Minimize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 <0 and s2>0 Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0 Minimize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0

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McBurger fast-food restaurant sells quarter-pounders and cheese burgers. A
quarter-pounder uses a quarter of a pound of meat, and a cheese burger uses only
.2 lb. The restaurant starts the day with 200 lb of meat but may order more at an
additional cost of 25 cents per pound to cover the delivery cost. Any surplus meat
at the end of the day is donated to charity. McBurger's profits are 20 cents for a
quarter-pounder and 15 cents for a cheeseburger. All in all, McBurger does not
expect to sell more than 900 sandwiches in any one day. How many of each type
of sandwich should McBurger plan for the day?
x1: # of quarter-pounders
x2: # of cheese burgers
Define the objective function.
✓ Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 < 0 and s2>0
Minimize z=0.2*x1+0.15* x2-0.25*s1+0 * s2 where s1 <0 and s2>0
Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0
Minimize z=0.2*x1+0.15* x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0
Transcribed Image Text:McBurger fast-food restaurant sells quarter-pounders and cheese burgers. A quarter-pounder uses a quarter of a pound of meat, and a cheese burger uses only .2 lb. The restaurant starts the day with 200 lb of meat but may order more at an additional cost of 25 cents per pound to cover the delivery cost. Any surplus meat at the end of the day is donated to charity. McBurger's profits are 20 cents for a quarter-pounder and 15 cents for a cheeseburger. All in all, McBurger does not expect to sell more than 900 sandwiches in any one day. How many of each type of sandwich should McBurger plan for the day? x1: # of quarter-pounders x2: # of cheese burgers Define the objective function. ✓ Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 < 0 and s2>0 Minimize z=0.2*x1+0.15* x2-0.25*s1+0 * s2 where s1 <0 and s2>0 Maximize z=0.2*x1+0.15*x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0 Minimize z=0.2*x1+0.15* x2-0.25*s1+0 * s2 where s1 ≥0 and s2>0
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