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?
