Spencer Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. These departments have 360 hours, 200 hours, and 125 hours of labor available each week. The firm has a contract with a distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). An analyst had been consulted to determine a product mix to maximize his daily revenue. The following sensitivity report was generated during the analysis:
Final | Shadow | Constraint | Allowable | Allowable | ||
Cell | Name | Value | Price | R.H. Side | Increase | Decrease |
$E$9 | Carpentry: LHS Value | 360 | 9.50 | 360 | 33.333333 | 60 |
$E$10 | Painting: LHS Value | 185 | 0 | 200 | 1E+30 | 20 |
$E$11 | Finishing: LHS Value | 112.5 | 0 | 125 | 1E+30 | 12.5 |
$E$12 | Contract French: LHS Value | 60 | -10 | 60 | 20 | 33.333333 |
$E$13 | Contract Danish: LHS Value | 90 | 0 | 60 | 30 | 1E+30 |
Suppose 32 additional hours become available in the carpentry department. How much additional profit can be generated as a result of these additional hours?
Consult the sensitivity report to determine the answer. Enter the exact answer.
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