Company produces two types of gems: Types 1 and 2. Each Type 1 gem contains 2 rubies and 4 diamonds. A Type 1 gem sells for $10 and costs $5 to produce. Each Type 2 gem contains 1 ruby and 1 diamond. A Type 2 gem sells for $6 and costs $4 to produce. A total of 30 rubles and 50 diamonds are available. All gems that are produced can be sold, but marketing considerations dictate that at least 11 Type 1 gems be produced. Let x1= number of Type 1 gems produced and x2 number of Type 2 gems produced. Assume that Vivian wants to maximize profit. Use the UNDO printout below to answer the following questions: A. What would Vivians profit be if 35 rubles were available? B. A vendor offers to sell 2 diamonds at a cost of 51 above current prices. What would Vivian s new profit be given Vivian accepts the offer? Cf type 1 gems sold for only $15, what would be the new optimal solution to the problem? D. What would Vivians profit be if 46 diamonds were available? LINDO Output for Vivian's G 532-23 MAX SUBJECT TO 21 31 41 VARIABLE #1 XI 31.123 33-90 33 SHO LP OFTEN FOOD AT ST 431 EL VARIABLE COTECTIVE FINITION VALIN 1147.000000 VALOR 11.000000 4.000000 ROW al 31 41 NOITERATIO A IN MATCH THE SARTE BLACK OR LOS 2.000000 000000 000000 CURRENY CORY 5.000000 21 12 1.000000 RECOCED CORT DU 0 COFFECTENT RAI ALLIMAGE THOMAE 3.000000 INFINITY HOW CURRENT 0000000 350.000000 11.000000 DUAL PRICES 0.000000 5.000000 -3.040000 AND RIDE SANGE ALLOWAN TRCREASE INFINITE 2.000000 1.300000 ALLOWANIA CAS INFINITY ALLOWAGE DECREASE 2.00000 4.30 500000
and 4 diamonds. A Type 1 gem sells for $10 and costs $5 to produce. Each Type: 1 diamond A Type 2 gem sells for $6 and costs $4 to produce. A total of Vivian's Gem Company produces two types of gems: Types 1 and 2. Each Type 1 gen contains 2 rubies contains 1 ruby rubies and 50 diamonds and are available. All gems that are produced can be sold, but marketing considerations dictate that at least 11 Type 1 gems be produced. Let at number of Type 1 gems produced and x2 number of Type 2 gems produced. Assume that Vivian wants to maximize profit. Use the UNDO printout below to answer the following question: A. What would Vivians profit be ir 35 rubies were available? 8. A vendor offers to sell 2 diamonds at a cost of $1 above current prices what would Vilas s new profit be given Vivian accepts the offer? Cf type 1 gems sold for only $15, what would be the new optimal solution to the problem? D. What would Vivian's profit bei 46 diamonds were available? LINDO Output for Vivian's Gem MAX 131-23 SUBJECT TO 3) 31 4) VAR LABIA x x2 END LF OPTIMUM POUND AT STE ROW 21 31 43 2313 x1 A3- BOW 2 25.000000 4.000000 CAFECTIVE PUNCTEN VALLE 13 47.0000000 VARIABLE CONVENT COUP 8.000000 2.000000 BLACK OR OPLE 2.000000 000000 000000 33 NO. ITERATIONS- RED IN MEICH THE BARES ISSUED S CONDIT B 30.etc) REDUCED COST ****** CA COEFFICIENT AN ALLONABLE THCKA 350.000000 411.000000 DAL PRE 0.000000 2.000000 -3.000000 KAD SIDEBA ALLONABLE INCREASE 3.000000 INFINITY INFINITY 2.000000 1.100000 ALLOWABLE DECEASE INFINITY ALLOWABLE DECREA 3.000000 4.000000 1.000000
Vivian's Gem Vivian's Gem Company produces two types of gems: Types 1 and 2. Each Type 1 gem contains 2 rubies and 4 diamonds. A Type
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