Delectation Delicatessen
Homework Problem Set #1
Delectation Delicatessen
Problem a)
Answer:
Delectation wants to determine the number of Fish-n-Fowl and Surf-n-Turf sandwiches it should make each day to maximize the deli’s revenues in USD$. The decision variables are how many units of Fish-n-Fowl and Surf-n-Turf sandwiches Delectation should make each day.
F= units of Fish-n-Fowl sandwiches Delectation should make each day. S= units of Surf-n-Turf sandwiches Delectation should make each day.
The objective function: maxmize F x 5.50 + S x 6.95
The Constraints: 0.25 x F + 0.25 x S<=200 | Tuna fish salad | Pound | 0.5 x F <=260 | Sliced turkey | Pound | 0.40 x S <=60 | Sliced roast beef | Pound | 2 x F + 1 x S<=1500 | Rye bread | Slice | 1 x F + 1 x S<=800 | Pumpernickel break | Slice | F and S>=0; | | F and S are both integers | |
Problem b) Answer:
Conclusion: Delectation should produce 520 units of Fish-n-Fowl and 150 units of Surf-n-Turf sandwiches Delectation each day to make $3,902.50 revenue.
Power Plan problem
Problem a)
Answer:
The management of OMPIC wants to determine the mix of coals that will maximize the amount of power produced per hour. The decision variables are how many tons of Hard Coal and Soft Coal should be used to maximize the amount of power in BTU per hour while complying the with the emission standards.
H= tons of Hard Coal should be used per hour. S= tons of Soft Coal should be used per hour.
The objective function: maximize H x 24,000 + S x 20,000
The Constraints:
SO2 emission -H x 1500 +S x 500 <=0 PPM Particulate emission H x 0.65 + S x 1.05 <= 12 kg Pulverizer capacity H x 24+S x 16<= 384 ton/hour
Delectation Delicatessen
Problem a)
Answer:
Delectation wants to determine the number of Fish-n-Fowl and Surf-n-Turf sandwiches it should make each day to maximize the deli’s revenues in USD$. The decision variables are how many units of Fish-n-Fowl and Surf-n-Turf sandwiches Delectation should make each day.
F= units of Fish-n-Fowl sandwiches Delectation should make each day. S= units of Surf-n-Turf sandwiches Delectation should make each day.
The objective function: maxmize F x 5.50 + S x 6.95
The Constraints: 0.25 x F + 0.25 x S<=200 | Tuna fish salad | Pound | 0.5 x F <=260 | Sliced turkey | Pound | 0.40 x S <=60 | Sliced roast beef | Pound | 2 x F + 1 x S<=1500 | Rye bread | Slice | 1 x F + 1 x S<=800 | Pumpernickel break | Slice | F and S>=0; | | F and S are both integers | |
Problem b) Answer:
Conclusion: Delectation should produce 520 units of Fish-n-Fowl and 150 units of Surf-n-Turf sandwiches Delectation each day to make $3,902.50 revenue.
Power Plan problem
Problem a)
Answer:
The management of OMPIC wants to determine the mix of coals that will maximize the amount of power produced per hour. The decision variables are how many tons of Hard Coal and Soft Coal should be used to maximize the amount of power in BTU per hour while complying the with the emission standards.
H= tons of Hard Coal should be used per hour. S= tons of Soft Coal should be used per hour.
The objective function: maximize H x 24,000 + S x 20,000
The Constraints:
SO2 emission -H x 1500 +S x 500 <=0 PPM Particulate emission H x 0.65 + S x 1.05 <= 12 kg Pulverizer capacity H x 24+S x 16<= 384 ton/hour