The Following 6 Questions Are Based On This M D Chemicals Produces Two Products That Are Sold As Raw Materials To Compa 1 (290.38 KiB) Viewed 26 times
The following 6 questions are based on this: M&D Chemicals produces two products that are sold as raw materials to companies that manufacture bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer's order for 125 gallons of product A must also be satisfied. Product A requires 2 hours of processing time per gallon, and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. M&D's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. Linear program for the M&D Chemicals problem: Min 2A + 3B s.t. 1A ≥ 125 1A 1B ≥ 350 2A + 1B ≤ 600 A, B ≥ 0 Demand for product A Total production Processing time
A 4 5 6 Variable Cells 8 9 10 11 12 Constraints 13 14 15 16 17 18 B 800 350 C Cell Name $B$14 Gallons Produced Product A $C$14 Gallons Produced Product B What is the minimum total cost? 250 Cell Name $B$19 Product A Provided $B$20 Total Production Provided $B$23 Processing Time Hours Used D E 250 350 600 0 Final Shadow Value Price Final Reduced Value Cost Coefficient Increase 250 2 100 3 F 0 4 -1 G Objective Allowable Allowable Decrease 1E + 30 1 Constraint R.H. Side 125 350 600 O Can't be computed with the information in the table. Need to rerun solver. 1 1E + 30 Allowable Increase 125 125 100 H Allowable Decrease 1E + 30 50 125 Can be computed with the information in the table without rerun solver, but choices listed here are incorrect.
If 650 hours of processing time are available, what the minimum total cost? Can be computed with the information in the table without rerun solver, but choices listed here are incorrect. 850 750 Can't be computed with the information in the table. Need to rerun solver. 800
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