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  3. the hickory furniture co. produces sofas and chair

The Hickory Furniture Co. produces sofas and chairs. Their plant uses three main resources to make...

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Question

Basic Math

The Hickory Furniture Co. produces sofas and chairs. Their plantuses three main resources to make furniture –wood, upholstery andlabor. The resource requirements and profits for each piece offurniture and the total resources available weekly are asfollows:

Sofa

Chair

Available Resource

Wood (lbs)

7

4

1200

Upholstery (yds)

12

0

600

Labor (hrs)

6

10

400

Profit

$500

$400

LINEAR PROGRAMMING (Hickory Furniture)

__________ 1a. How many sofas should be produced?
__________ 1b. How many chairs should be produced?
__________ 1c. How much profit will be earned optimally?
__________ 1d. What is the value of an additional hour of labor tothe total profit?
__________ 1e. How much would the profit increase with anadditional yard of upholstery?

__________ 1f. How much of the 1200 lbs of wood are actuallyused in the optimal solution?

__________ 1g. What is the lowest profit for sofas that wouldhave the same optimal solution?

__________ 1h. What is the highest profit for chairs that wouldhave the same optimal solution?

Answer & Explanation Solved by verified expert
3.8 Ratings (473 Votes)
1a 501b 101c 290001d Additional hour of labor makes nodifference to profit as we    See Answer
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