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Transportation Change Exercise 23 so that the two outlets each furnish exactly 5000 barrels of oil, with everything else the same. Use artificial variables to solve the problem, following the steps outlined in Example 3.
Business and Economics
23. Transportation Southwestern Oil supplies two distributors in the Northwest from two outlets, S1 and S2. Distributor D1 needs at least 3000 barrels of oil, and distributor D2 needs at least 5000 barrels. The two outlets can each furnish up to 5000 barrels of oil. The costs per barrel to ship the oil are given in the table.
There is also a shipping tax per barrel as given in the table below. Southwestern Oil is determined to spend no more than $40,000 on shipping tax.
D1 | D2 | |
S1 | $30 | $20 |
S2 | $25 | $22 |
- (a) How should the oil be supplied to minimize shipping costs?
- (b) Find and interpret the values of any nonzero slack or surplus variables.
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Chapter 4 Solutions
EBK FINITE MATHEMATICS AND CALCULUS WIT
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