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 + 1.6 S

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

If the company wanted to increase the available hours for one of their constraints (assembly, painting, or inspection) by one hours, which one should not be chosen.

Group of answer choices

assembly

none of these three constraints should be chosen

paint

inspection

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