Standard Phones X1 Deluxe Phones X2 Time Available Assembly

Standard Phones

(X₁)

Deluxe Phones (X₂)

Time Available

Assembly

30

30

450

Inspection

10

15

180

Profit

$50

$60

Based on this table, how much profit can be made by assembling and inspecting only deluxe phones (X₂)?

Solution

Problem is

Entering =X2, Departing =S2, Key Element = 15

R2 (new) =R2 (old) ÷15=R2 (old) 115

R1 (new) =R1 (old) 30R2 (new)

Entering =X1, Departing =S1, Key Element = 10

R1 (new) =R1 (old) ÷10=R1 (old) 110

R2 (new) =R2 (old) 23R1 (new)

Since all CjZj0,

Optimum Solution is arrived with value of variables as :
X1=9

X2=6

Maximise Z=810