Linear Programming

1) In a maximization problem, the shadow price of a “<=“ type constraint can be:

a) Greater than or equal to zero

b) Less than or equal to zero

c) Positive,zero, or negative

2) In a maximization problem, the shadow price of a “>=” type constraint can be:

a) Greater than or equal to zero

b) Less than or equal to zero

c) Positive,zero, or negative

3) In a minimization problem, the shadow price of a “<=“ type constraint can be:

a) Greater than or equal to zero

b) Less than or equal to zero

c) Positive,zero, or negative

4) In a minimization problem, the shadow price of a “>=” type constraint can be:

a) Greater than or equal to zero

b) Less than or equal to zero

c) Positive,zero, or negative

 

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Linear Acceleration, Force Components 7. Weight, Normal, Friction: While working in a mechanical structures laboratory, your boss assigns you to test the strength of ropes under different conditions. Your test set-up consists of two ropes attached to a 30 kg block which slides on a 5.0 m long horizontal table top. Two low friction, light weight pulleys are mounted at opposite ends of the table. One rope is attached to each end of the 30 kg block. Each of these ropes runs horizontally over a different pulley. The other end of one of the ropes is attached to a 12 kg block which hangs straight down. The other end of the second rope is attached to a 20 kg block also hanging straight down. The coefficient of kinetic friction between the block on the table and the table’s surface is 0.08. The 30 kg block is initially held in place by a mechanism that is released when the test begins so, that the block is accelerating during the test. During this test, what is the force exerted on the rope supporting the 12 kg block? 8. Human, Weight, Normal: You are taking care of two small children, Sarah and Rachel, who are twins. On a nice cold, clear day you decide to take them ice skating on Lake of the Isles. To travel across the frozen lake you have Sarah hold your hand and Rachel’s hand. The three of you form a straight line as you skate, and the two children just glide. Sarah must reach up at an angle of 60 degrees to grasp your hand, but she grabs Rachel’s hand horizontally. Since the children are twins, they are the same height and the same weight, 50 lbs. To get started you accelerate at 2.0 m/s2. You are concerned about the force on the children’s arms which might cause shoulder damage. So you calculate the force Sarah exerts on Rachel’s arm, and the force you exert on Sarah’s other arm. You assume that the frictional forces of the ice surface on the skates are negligible. 9. Tension, Weight, Normal, and Friction: You are planning to build a log cabin in northern Minnesota. You will pull the logs up a long, smooth hill to the building site by means of a rope attached to a winch. You need to buy a rope for this purpose, so you need to know how strong the rope must be. Stronger ropes cost more. You know that the logs weigh a maximum of 200 kg. You measure that the hill is at an angle of 30o with respect to the horizontal, and the coefficient of kinetic friction between a log and the hill is 0.90. When pulling a log up the hill, you will make sure that the rope stays parallel to the surface of the hill and the acceleration of the log is never more than 0.80 m/s2. How strong a rope should you buy? 10. Tension, Weight, Normal, Friction: You have taken a summer job at a warehouse and have designed a method to help get heavy packages up a 15° ramp. In your system a package is attached to a rope which runs parallel to the ramp and over a pulley at the top of the ramp. After passing over the pulley the other end of the rope is attached to a counterweight which hangs straight down. In your design the mass of the counterweight is always adjusted to be twice the mass of the package. Your boss is worried about this pulley system. In particular, she is concerned that the package will be too difficult to handle at the top of the ramp and tells you to calculate its acceleration. To determine the influence of friction between the ramp and the package you run some tests. You find that you can push a 50 kg package with a horizontal force of 250 Newtons at a constant speed along a level floor made of the same material as the ramp.

 

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line k passes through the points (-12,10) and (6,1). line l is perpendicular to line k with a y-intercept of 6. find the x-intercept of line l.

line k passes through the points (-12,10) and (6,1). line l is perpendicular to line k with a yintercept of 6. find the x-intercept of line l. the equation is written in the form of y=mx + c for…

 

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Lindsay had a limp. As she exited a Marshall’s store and walked to her car, a store

security guard asked her what was wrong. She said had been in a car accident and

showed the security guard her handicapped parking permit. The security guard

responded, “Hah man, she is all ‘f*****-up.'” Lindsay cried all night and suffered

damage to her self-esteem. She sued for IIED. What result?

 

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Linda’s Lampshades started business on Jan. 1, 20X1. They had the following inventory transactions:

Journals – Jan. 20X1

Purchases

Supplier         Date Received         Quantity        Unit Cost       Amount

Donna           01/10/X1                110              12.00            1320.00

Thomas         01/15/X1                160              14.00             2240.00

Cindy            01/18/X1                150              15.00            2250.00

Sales

Customer      Date shipped    Quantity      Sel. Price                Amount         

Norilene        01/16/X1         200                  25.00                   5000.001.    Calculate the ending inventory, using the perpetual inventory method: A.     Using FIFOB.     Using LIFO

C.     Using Average Cost

2.    Prepare the following statement             Using

                                      FIFO    LIFO        Average Cost

Sales

Cost of Sales          Gross Profit

Please use excel sheet to create answer. 

 

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