Question
EXHIBIT 7-1 Answer Report Target Cell (Max) Cell Name Original Value Final Value $F$10 Total contribution margin 449 640 525 371 Adjustable Cells Cell Name
EXHIBIT 7-1
Answer Report
Target Cell (Max)
Cell Name Original Value Final Value
$F$10 Total contribution margin 449 640 525 371
Adjustable Cells
Cell Name Original Value Final Value
$B$9 Square feet allocated to M #1 500 500
$C$9Square feet allocated to M #2 700 1,105
$D$9 Square feet allocated to M #3 600 600
$E$9 Square feet allocated to M #4 900 900
Constraints
Cell Name Cell Value Formula Status Slack
$F$9 Total surface available 3,105 $F$9<=3360 Not binding 255
$G$9 Maximum inventory 75 000.00 $G$9<=75000 Binding 0
$D$9 Square feet allocated to M#3 600 $D$9>=600 Binding 0
$E$9 Square feet allocated to M#4 900$E$9>=900 Binding0
$B$9 Square feet allocated to M#1 500 $B$9>=500 Binding0
$C$9Square feet allocated to M#2 1,105 $C$9>=700 Not binding 405
Sensitivity Report
Adjustable Cells
Final Reduced Objective Allowable
Cell Name Value Cost Coefficient Increase
$B$9 Sq.ft allocated to M#1 500 19.64 108 20
$C$9 Sq.ft.allocated to M#2 1,105 0.00 187.2 1E+30
$D$9 Sq.ft allocated to M#3 600 44.84 153 45
$E$9 Sq.ft allocated to M #4900 84.55 192 85
Constraints
Final Shadow Constraint Allowable
Cell Name Value Price R.H. Side Increase
$F$9 Total surface available 3,105 0 3,360 1E+30
$G$9 Maximum inventory 75,000 8.51 75 000 5,620
Required:
a)What is the expected contribution margin and operating income for the first year of operations? (4 Marks)
b)By how much per unit and in total would the contribution margin change if the constraint on the level of inventories were set to $80,000? Explain your answer. (4 Marks)
c)Would the optimal solution be the same if there was not a constraint on the level of inventories? Explain your answer, and calculate the change in contribution margin if any. (2 marks)
d)Explain and define what is "binding" and "slack". (2 Marks)
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