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4. Tom is the owner of a furniture shop. He uses woods to make tables and chairs. Each day, he buys woods from his supplier at a cost of $13 per unit. The maximum amount of woods that may be purchased is 50 units. Each table requires 7 units of woods while each chair requires 4 units. He needs to spend time on making these products. He can make 0.7 chair or 1.1 table in 1 hour. The outputs are always proportional to the amount of time they spend. Tom can work 10 hours per day. A table can be sold at $100 and a chair can be sold at $70. Let x1 and x2 be the numbers of table and chair produced. A formulate an LP that can help make a production plan for Tom to maximize his average daily profit is max Ax1 + 18x2 s.t. 7x1 + 4x2 ? 50 Bx1 + Cx2 ? 10 xi ? 0 ?i = 1, 2. However, three numbers are missing (labeled as A, B, and C). What should be the number to make the formulation correct? A = 12, B = 1.1, and C = 0.7. A = 9, B = 1.1, and C = 0.7. A = 12, B = 1/1.1, and C = 1/0.7. A = 9, B = 1/1.1, and C = 1/0.7. None of the above. 5. Following from the above problem, graphically solve the LP and find an optimal solution. What is the optimal number of chairs to produce in each day?

          4. Tom is the owner of a furniture shop. He uses woods to make tables and chairs. Each day, he buys woods from his supplier at a cost of $13 per unit. The maximum amount of woods that may be purchased is 50 units. Each table requires 7 units of woods while each chair requires 4 units. He needs to spend time on making these products. He can make 0.7 chair or 1.1 table in 1 hour. The outputs are always proportional to the amount of time they spend. Tom can work 10 hours per day. A table can be sold at $100 and a chair can be sold at $70.

Let x1 and x2 be the numbers of table and chair produced. A formulate an LP that can help make a production plan for Tom to maximize his average daily profit is

max Ax1 + 18x2
s.t. 7x1 + 4x2 ? 50
Bx1 + Cx2 ? 10
xi ? 0 ?i = 1, 2.

However, three numbers are missing (labeled as A, B, and C). What should be the number to make the formulation correct?

A = 12, B = 1.1, and C = 0.7.
A = 9, B = 1.1, and C = 0.7.
A = 12, B = 1/1.1, and C = 1/0.7.
A = 9, B = 1/1.1, and C = 1/0.7.
None of the above.

5. Following from the above problem, graphically solve the LP and find an optimal solution. What is the optimal number of chairs to produce in each day?

4. Tom is the owner of a furniture shop. He uses woods to make tables and chairs. Each day, he buys woods from his supplier at a cost of 13 per unit. The maximum amount of woods that may be purchased is 50 units. Each table requires 7 units of woods while each chair requires 4 units. He needs to spend time on making these products. He can make 0.7 chair or 1.1 table in 1 hour. The outputs are always proportional to the amount of time they spend. Tom can work 10 hours per day. A table can be sold at100 and a chair can be sold at 70.

Let x1 and x2 be the numbers of table and chair produced. A formulate an LP that can help make a production plan for Tom to maximize his average daily profit is

max Ax1 + 18x2
s.t. 7x1 + 4x2 ? 50
Bx1 + Cx2 ? 10
xi ? 0 ?i = 1, 2.

However, three numbers are missing (labeled as A, B, and C). What should be the number to make the formulation correct?

A = 12, B = 1.1, and C = 0.7.
A = 9, B = 1.1, and C = 0.7.
A = 12, B = 1/1.1, and C = 1/0.7.
A = 9, B = 1/1.1, and C = 1/0.7.
None of the above.

5. Following from the above problem, graphically solve the LP and find an optimal solution. What is the optimal number of chairs to produce in each day?

Added by Michael B.

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