1. (1) MAX X1+3X2+2X3+4X4 X1=AM PHONE, X2=AM RIDE, X3=AFT PHONE, X4=AFT RIDE CONSTRAINTS AM: X1+20X2 < 12(60)=720 AFT: 2X3+30X4 < 14(60) = 840 GAS: X2+X4 < 100

2. (2)MIN 3X1+4X2+2X3+X4, X1=FISH,X2=BEEF, X3=LETTUCE, X4=BEANS CAL: 1000<400X1+700X2+40X3+500X4<1800 FAT: 15<4X1+80X2+ 2X4<40 PROT: 90X1+100X2+2X3+20X4>25 CHOL: 100X1+300X2<19

3. (3)MIN 100000X1+50000X2, X1=TV, X2= RADIO X2 X1 > 2 1000000X1+ 400000X2 > 3000000.6(1000000)X1+(1-.7)(400000)X2 1000000X1+400000X2 >.4 X1 < 5

4. WINSTON, 1 MIN 4X1+X2 X1=NUMBER HRS PROCESS 1 X2=……………………………..2 A: 3X1+X2>10 B: X1+X2>5 C:X1 >3 (OPTIONAL SOLUTION MIN =14)

5. WINSTON, 3 MAX 40X1+25X2 X1 = DESKS, X2 = CHAIRS 4X1+ 3X2 <20 X2>2X1 (OPTIONAL SOLUTION MAX= 180)

6. WINSTON, 16 MAX 5X1+2X2 X1=BEER, X2=ALE CORN: 5X1+2X2<60 HOP: 2X1+X2<25 (OPTIONAL SOLUTION MAX = 60)

7. WINSTON, 2 MIN X1+X2+X3+X4+X5+X6 X1=12-8AM,X2=4AM-NOON,X3=8AM-4PM, X4=12-8,X5=4-12,X6=8PM-4AM X1+X6=8 X1+X2=7 X2+X3=6 X3+X4=6 X4+X5=5 X5+X6=4