# Hartley's furniture:Sensitivity analysis problem

Solve linear programming problem. See the attached document for proper formatting.

Week 7

Hartley's makes furniture. The time required for each item is listed below.

Find the mix of products and sensitivity report to make the highest profit for Harley's.

Chairs Tables Bookcases Available

Assembly (minutes) 40 80 50 8100

Finishing (minutes) 20 30 30 4500

Wood (pounds) 10 80 50 9000

Unit profit $125 $360 $300

a. If the profit per table increases by , will this change the optimal

production numbers? What can does the sensitivity report say about

changes in the total profit?

b. Suppose the profit per table increases by $90 and the profit per

bookcase decreases by $50. Will this change the optimal

production quantities? What can be said about the change in

total profit?

c. Suppose a worker calls in sick so 8 fewer hours are now

available in assembly. How much would this affect total profit?

Would it change the optimal production quantities?

d. Why is the shadow price for the wood constraint = 0?

e. If a new worker is hired to split their time between

assembly and finishing. What is the best way to split

the time or does it matter?

https://brainmass.com/math/linear-programming/hartley-s-furniture-sensitivity-analysis-problem-183396

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