If the profit of Product C increased by 1.50, does the production plan change? Does the profit change and if so what is the new profit? 

Have to resolve the LP to answer these questions, 

The plan will change. The new profit will be $1345. 

The plan will not change. The new profit will be 1330. 

None of the above

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Cinto Furniture Company has 4 main types of products. Each type product requires a different amount of Assembly, Cutting and Packing hour. Each products requires a different unit of wood. We are now using 4 variables to representing these 4 products: B = # of Product B made and Sold D = # of Product D made and Sold A = # of Product A made and Sold C = # of Product C made and Sold Objective: Maximize Profit = S2.50A + $4.00B + $5.00C + $5.50D Constraints: Assembly: Cutting: Packing: Wood: 2A +3B +5C +4D <1,000 hours < 2,600 hours <1,500 hours 13A +1B +14C +3D 2A +7B +9C +6D 1A +13B +12C +15D <3,000 units Minimum # of C: 10 2 10 Non-negativity: A, B, C, D > 0 The sensitivity report is given below Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SBS2 # of Product A 105 0.00 2.5 0.25 1.56 SCS2 # of Product B -0.19 4 0.19 1E+30 SD$2 # of Product C 10 0.00 1.62 1E+30 SES2 # of Product D 185 0.00 5.5 32 0.22 Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Assembly Time SF$6 Cutting Time Packing Time Wood Used SF$5 1000.00 1.23 1000 73.13 182.00 2060.00 0.00 2600 1E+30 540.00 SF$7 1410.00 0.00 1500 1E+30 90.00 SF$8 3000.00 0.04 3000 585.00 305.22 SF$9 Minimum # of C 10.00 -1.62 10 35.45 1E+30 Cinto Furniture Company has 4 main types of products. Each type product requires a different amount of Assembly, Cutting and Packing hour. Each products requires a different unit of wood. We are now using 4 variables to representing these 4 products: B = # of Product B made and Sold D = # of Product D made and Sold A = # of Product A made and Sold C = # of Product C made and Sold Objective: Maximize Profit = S2.50A + $4.00B + $5.00C + $5.50D Constraints: Assembly: Cutting: Packing: Wood: 2A +3B +5C +4D <1,000 hours < 2,600 hours <1,500 hours 13A +1B +14C +3D 2A +7B +9C +6D 1A +13B +12C +15D <3,000 units Minimum # of C: 10 2 10 Non-negativity: A, B, C, D > 0 The sensitivity report is given below Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SBS2 # of Product A 105 0.00 2.5 0.25 1.56 SCS2 # of Product B -0.19 4 0.19 1E+30 SD$2 # of Product C 10 0.00 1.62 1E+30 SES2 # of Product D 185 0.00 5.5 32 0.22 Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Assembly Time SF$6 Cutting Time Packing Time Wood Used SF$5 1000.00 1.23 1000 73.13 182.00 2060.00 0.00 2600 1E+30 540.00 SF$7 1410.00 0.00 1500 1E+30 90.00 SF$8 3000.00 0.04 3000 585.00 305.22 SF$9 Minimum # of C 10.00 -1.62 10 35.45 1E+30

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