Practice problems - solutions 1-10 - Stock Fuel A Fuel B...

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Stock 1 2 3 4 5 Total Fuel Fuel A 0 2700 0 1800 3000 7500 >= Fuel B 633.333 1300 4000 3200 0 9133.333 >= Used 633.333 4000 4000 5000 3000 <= <= <= <= <= Available 2000 4000 4000 5000 3000 Price stock $ 9.00 $ 12.50 $ 12.50 $ 27.50 $ 27.50 Octane rating 70 80 85 90 99 Fuel A rating 675000 >= 675000 Fuel B rating 776333 >= 776333 D.V. Ai - in Bi - in O.F MAX T MAX $ -$12.5 Const Dema Dema Input Input Input Input Input Octan (7 1 0? →70? 005 Octan (7 1 0050 0? →70? 005 Non-n
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Demand Price Fuel Total profit 7500 $ 37.50 $ 203,550 9000 $ 28.50 nput i in Fuel A; i = 1..5 nput i in Fuel B; i = 1..5 Total Profit = Revenue-Cost $37.5(A1+A2+A3+A4+A5)+$28.5(B1+B2+B3+B4+B5)-$9*2,000-$12.5*4,000- 5*4,000-$27.5*5,000-$27.5*3,000 traints: and Fuel A: A1+A2+A3+A4+A5 >= 7,500 and Fuel B: B1+B2+B3+B4+B5 >= 9,000 1 avail: A1+B1 <= 2,000 2 avail: A2+B2 <= 4,000 3 avail: A3+B3 <= 4,000 4 avail: A4+B4 <= 5,000 5 avail: A5+B5 <= 3,000 ne Fuel A: 1+80?2+85?3+90?4+99?5)/(?1+ ?2+ ?3+ ?4+ ?5)≥90 09(++++ ?1+80?2+85?3+90?4+99?5≥90(?1+ ?2+ ?3+ ?4+ ?5) 509(++++ ne Fuel B: 1+80?2+85?3+90?4+99?5)/(?1+ ?2+ ?3+ ?4+ ?5)≥85 09(++++ ?1+80?2+85?3+90?4+99?5≥85(?1+ ?2+ ?3+ ?4+ ?5) 509(++++ negativity: Ai, Bi >= 0; i = 1..5 " "
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Stock Amount invested Rate of return Tech stock - Cisco $ 15,000 8% Tech stock - Microsof $ - 6% Tech stock - Intel $ 5,000 5% Bank stock - Bank of America $ 60,000 7% Bank stock - First bank $ - 4% Money Market - ING $ 20,000 2% Total invested 100000 $ 6,050 = Budget $ 100,000
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At leat $20,000 in ING $ 20,000 >= $ 20,000 25% from Tech in Intel $ 5,000 >= $ 5,000 Bank stocks >= Tech stocks $ 60,000 >= $ 20,000 Return <5% less than $25,000 $ 25,000 <= $ 25,000 D.V. X1 - amount invested in Cisco; X2 - amount invested in Microsoft; X3 - amount invested in Intel; X4 - amount invested in Bank of America; X5 - amount invested in First Bank; X6 - amount invested in ING; O.F.
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