Question: Consider the following linear program, which maximizes profit for two products--regular (R) and super (S): MAX Z = 50R + 75S s.t. 1.2 R +
Consider the following linear program, which maximizes profit for two products--regular (R) and super (S):
MAX Z = 50R + 75S
s.t.
1.2 R + 1.6 S 600 assembly (hours)
0.8 R + 0.5 S 300 paint (hours)
.16 R + 0.4 S 100 inspection (hours)
Sensitivity Report:
| Cell |
Name | Final Value | Reduced Cost | Objective Coefficient | Allowable Increase | Allowable Decrease |
| $B$7 | Regular = | 300.21 | 0.00 | 50 | 70 | 20 |
| $C$7 | Super = | 150.32 | 0.00 | 75 | 50 | 43.75 |
| Cell |
Name | Final Value | Shadow Price | Constraint R.H. Side | Allowable Increase | Allowable Decrease |
| $E$3 | Assembly (hr/unit) | 563.33 | 33.33 | 600 | 1E+30 | 36.67 |
| $E$4 | Paint (hr/unit) | 300.00 | 0.00 | 300 | 39.29 | 175 |
| $E$5 | Inspect (hr/unit) | 100.00 | 145.83 | 100 | 12.94 | 40 |
The optimal number of regular products to produce is _______________ , and the optimal number of super products to produce is ___________ , for total profits of _______________ .
(Please round the result to two decimals)
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