09 QM Quiz2 Sample Qs for final ans key

09 QM Quiz2 Sample Qs for final ans key - Sample Questions...

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Sample Questions –Ans Key Q.1 Decision Variables: M1= lbs of mild to be bought for regular M2= lbs of mild to be bought for premium S1= lbs of sharp to be bought for regular S2= lbs of sharp to be bought for premium Objective Function: Max (( $1.75 M1+ $ 1.75 S1 + $2.00 M2 + $2.00 S2) – ( $1.20 M1 + $1.20 M2 + $1.40 S1 + $1.40 S2)) = Max($0.55M1+0.35S1+0.80M2+0.60S2) Constraints: M1+M2 <= 8100 S1+S2<= 3000 16 S1 >= 4 ( M1+S1) 16 M2<= 10 ( M2+S2)
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Q2 Spicy Spice Company needs your help in deciding the optimal production quantities for A and B. Selling prices of A and B are $3/bottle and $3.50/bottle respectively. The company uses two ingredients-H1, and H2-to produce two varieties of seasonings-A and B. Recipe: One bottle of A requires 4 oz of H1, 2 oz of H2. One bottle of B requires 1 oz of H1, 5 oz of H2. The purchasing department estimates that 116 oz of H1 are available at $0.05/oz and 500 oz of H2 are available at $0.40/oz. Demand for A<=100, Demand for B<=52. SHOW YOUR WORK here and enter the answers below. Profit : $2/bottle of A; $1.45/bottle of B. Resource H1 is the bottleneck, the resources are yet to be purchased, compare profit / oz of H1 , conclude that B is the preferred product. After making 52 bottles of B, we are left with enough resources to make 16 bottles of A. A= # of bottles of A to be produced= 16 bottles B= # of bottles of B to be produced= 52 bottles Oz of H1 to be bought= 116 oz ( =16*4+52*1) Oz. of H2 to be bought= 292 oz (=16*2+52*5) Shadow Price for Ingredient H1= $0.5 ( Objective function value changes by $2 per 4oz of H1, or $2/4=$0.5 per oz) Shadow Price for Ingredient H2= $0.0, Not a bottleneck, no change in the obj function value.
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Q3 Answer The New West's soup comes in two varieties, New England and Manhattan. The ingredients are as follows for one liter of soup.
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09 QM Quiz2 Sample Qs for final ans key - Sample Questions...

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