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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