a) The daily demands represent potential sales. In other words, the model should contain demand ceilings (upper limits)
The spreadsheet model is following:
Optimal output levels are shown in following table:
Crude Stock | ||||
Brand | 1 | 2 | 3 | 4 |
Regular | 1000 | 204.1666667 | 387.5 | 0 |
Multi Grade | 0 | 645.8333333 | 812.5 | 41.66666667 |
Supreme | 0 | 250 | 0 | 500 |
Total profit = $ 3964.17
EXCEL FORMULAS:
Formula for Total profit =SUMPRODUCT(I9:I11,C9:C11)-SUMPRODUCT(E12:H12,E3:H3)
b) The daily demands are strict obligations. In other words, the model should contain demand constraints that are met precisely.
The spreadsheet model is following:
Optimal output levels are shown in following table:
Crude Stock | ||||
Brand | 1 | 2 | 3 | 4 |
Regular | 1000 | 0 | 1000 | 0 |
Multi Grade | 0 | 1100 | 200 | 200 |
Supreme | 0 | 0 | 0 | 750 |
Total profit = $ 3760
c) The daily demands represent minimum sales commitments, but all output can be sold. In other words, the model should permit production to exceed the daily commitments.
Optimal output levels are shown in following table
Crude Stock | ||||
Brand | 1 | 2 | 3 | 4 |
Regular | 1000 | 0 | 1000 | 0 |
Multi Grade | 0 | 1100 | 200 | 200 |
Supreme | 0 | 0 | 0 | 900 |
Total profit = $ 3910
Question 2: An oil company produces three brands of oil: regular, multigrade, and supreme. Each brand...
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