Answer Happy

a. 0
b. 8
c. 10
d. none of the above
2. How much should you be willing to pay extra lumber?
a.$0
b.$10
c.$24
d.$48
e. None of the above
3. What would be the total profit if you have 23 finishing
hours?
a. $10
b. $280
c. $290
d. None of above
4. If you could only charge $18 for chairs, how would your
optimal solution change?
a. The solution will not change; the profit would not change
b. The solution will not change; the profit would
increase
c.The solution will not change; the profit would decrease.
d. The solution will change, we don’t know how profit would
change
The Dakota Furniture Company manufactures desks, tables and chairs. The manufacture of each type of furniture requires lumber and two types of skilled labor: finishing and carpentry. The amount of each resource needed to make each type of furniture is given in the table below. Resource Lumber (bd ft) Finishing hrs Carpentry hrs Desk 8 4 2 Table 6 2 1.5 Chair 1 1.5 0.5 At present, 48 board feet of lumber, 20 finishing hours, and 8 carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $20. Dakota believes that the demand for desks and chairs is unlimited, but at most five tables can be sold. The linear programming model that can be used to maximize the company's total profits is given below: Let, X1 = # Desks, X2 = # Tables, X3 = # Chairs, Max 60x1 + 30x2 + 20x3 S.T. 8x1 + 6x2 + x3 <= 48 4x1 + 2x2 + 1.5x3 <= 20 2x1 + 1.5x2 + 0.5x3 <= 8 x2 <=5 x1, x2, x320 Lumber (bd ft) Finishing (hrs) Carpentry (hrs) Tables demand Variable Value Reduced Cost Original Val Lower Bound Upper Bound X1 2 0 60 56 80 X2 0 5 30 - Infinity 35 X3 8 0 20 15 22.5 Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound Lumber 0 24 48 24 Infinity Finishing 10 0 20 16 24 Carpentry 10 0 8 6.6667 10 Tables demand 0 5 5 0 Infinity Use the POM-QM output to provide an answer to each of the following questions: