Question: Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $20 and

Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $20 and knives of $17.50. He has 183 hours of machine time, 250 hours of labor and 185 pounds of steel. It takes him 4 hours of machine time, 4 hours of labor time and 3 pounds of steels to make one unit of spoons. Each unit of forks take 4 hours of machine time, 9 hours of labor time and 2 pounds of steel, while knives take 5 hours of machine time, 5 hours of labor and 4 pounds of steel. It is also found that he should make at least 7 units of spoons in the process.

A- Solve the following linear program The solution is

x1 = [ Select ] , x2 = [ Select ] , x3 = [ Select ] , with an objective value of [ Select ] .

B- The resources that were not completely utilized (slack) are: [ Select ]

C- If it was decided that at least 12 units of spoons should be made instead of 7, how much would profit increase or decrease? [ Select ]

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