Consider the following linear program, which maximizes profit for two products, regular (R), and super (S):
50R + 75S
1.2R + 1.6 S ≤ 600 assembly (hours)
0.8R + 0.5 S ≤ 300 paint (hours)
.16R + 0.4 S ≤ 100 inspection (hours)
| | | | | | |
| | Final | Reduced | Objective | Allowable | Allowable |
Cell | Name | Value | Cost | Coefficient | Increase | Decrease |
$B$7 | Regular = | 291.67 | 0.00 | 50 | 70 | 20 |
$C$7 | Super = | 133.33 | 0.00 | 75 | 50 | 43.75 |
| | | | | | |
| | | | | | |
| | Final | Shadow | Constraint | Allowable | Allowable |
Cell | Name | Value | Price | R.H. Side | Increase | Decrease |
$E$3 | Assembly (hr/unit) | 563.33 | 0.00 | 600 | 1E+30 | 36.67 |
$E$4 | Paint (hr/unit) | 300.00 | 33.33 | 300 | 39.29 | 175 |
$E$5 | Inspect (hr/unit) | 100.00 | 145.83 | 100 | 12.94 | 40 |
A change in the market has increased the profit on the super product by $3. Total profit will increase by __________. Round your answer to the nearest integer and do not include the dollar “$” sign.
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