Linear programming, homework help

In a linear programming problem, the
binding constraints for the optimal solution are: 5x₁ + 3x₂ ≤ 30 2x₁ + 5x₂ ≤ 20 Which of these objective functions will
lead to the same optimal solution?

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In a linear programming problem, a valid
objective function can be represented as:

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A linear programming model consists of

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Which of the following could be a linear
programming objective function?

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The production manager for the Coory
soft drink company is considering the production of two kinds of soft drinks:
regular (R) and diet(D). Two of the limited resources are production time (8
hours = 480 minutes per day) and syrup (1 of the ingredients), limited
to 675 gallons per day. To produce a regular case requires 2 minutes and 5
gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup.
Profits for regular soft drink are $3.00 per case and profits for diet soft
drink are $2.00 per case. What is the time constraint?

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Cully Furniture buys two products for
resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and
requires 100 cubic feet of storage space, and each medium shelf costs $300
and requires 90 cubic feet of storage space. The company has $75,000 to
invest in shelves this week, and the warehouse has 18,000 cubic feet
available for storage. Profit for each big shelf is $300 and for each medium
shelf is $150. What is the objective function?

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The ________ property of linear
programming models indicates that the decision variables cannot be restricted
to integer values and can take on any fractional value.

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The ________ property of linear
programming models indicates that the values of all the model parameters are
known and are assumed to be constant.

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Which of these statements is best?

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The production manager for the Coory
soft drink company is considering the production of two kinds of soft drinks:
regular and diet. Two of her limited resources are production time (8
hours = 480 minutes per day) and syrup (1 of the ingredients), limited
to 675 gallons per day. To produce a regular case requires 2 minutes and 5
gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup.
Profits for regular soft drink are $3.00 per case and profits for diet soft
drink are $2.00 per case. Which of the following is not a feasible production
combination?

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Cully Furniture buys two products for
resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and
requires 100 cubic feet of storage space, and each medium shelf costs $300
and requires 90 cubic feet of storage space. The company has $75,000 to
invest in shelves this week, and the warehouse has 18,000 cubic feet
available for storage. Profit for each big shelf is $300 and for each medium
shelf is $150. What is the maximum profit?

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Cully Furniture buys two products for
resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and
requires 100 cubic feet of storage space, and each medium shelf costs $300
and requires 90 cubic feet of storage space. The company has $75,000 to
invest in shelves this week, and the warehouse has 18,000 cubic feet
available for storage. Profit for each big shelf is $300 and for each medium
shelf is $150. In order to maximize profit, how many big shelves (B) and how
many medium shelves (M) should be purchased?

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Consider the following maximization
problem.MAX z = x + 2ys.t.2x + 3y ≤ 65x + 6y ≤ 30y≥ 1
The optimal solution

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The following is a graph of a linear
programming problem. The feasible solution space is shaded, and the optimal
solution is at the point labeledZ*.

The equation for constraint DH is:

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The following is a graph of a linear
programming problem. The feasible solution space is shaded, and the optimal
solution is at the point labeledZ*.

Which line is represented by the
equation 2X + Y ≥ 8?

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The following is a graph of a linear
programming problem. The feasible solution space is shaded, and the optimal
solution is at the point labeledZ*.

The constraint AJ

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The production manager for the Coory
soft drink company is considering the production of two kinds of soft drinks:
regular and diet. Two of her limited resources are production time (8
hours = 480 minutes per day) and syrup (1 of the ingredients), limited
to 675 gallons per day. To produce a regular case requires 2 minutes and 5
gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup.
Profits for regular soft drink are $3.00 per case and profits for diet soft
drink are $2.00 per case. For the production combination of 135 cases of
regular and 0 cases of diet soft drink, which resources will not be
completely used?

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Consider the following linear program:MAX z = 5x + 3ys.t.x– y ≤ 6x ≤ 1The optimal solution

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The optimal solution of a minimization
problem is at the extreme point ________ the origin.

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Multiple optimal solutions occur when
constraints are parallel to each other.