Implied Warranty of Habitability Sharon Love entered into a written lease agreement with Monarch Apartments (Monarch) for apartment 4 at 441 Winfield in Topeka, Kansas. Shortly after moving in, she experienced serious problems with termites. Her walls swelled, clouds of dirt came out of the walls, and when she checked on her children one night, she saw termites flying around the room. She complained to Monarch, which arranged for the apartment to be fumigated. When the termite problem persisted, Monarch moved Love and her children to apartment 2. Upon moving in, Love noticed that roaches crawled over the walls, ceilings, and floors of the apartment. She complained, and Monarch called an exterminator, who sprayed the apartment. When the roach problem persisted, Love vacated the premises. Did Love lawfully terminate the lease? Who wins? Love v. Monarch Apartments, 13 Kan.App.2d 341, 771 P.2d 79, Web 1989 Kan.App. Lexis 219 (Court of Appeals of Kansas)

Mary owns a small accounting firm named GOACCOUNTING in midtown Manhattan that has a loyal base of clients who are all in the fitness business.  The firm has been in business for 15 years. Mary’s main clients are within the State of New York. After much discussion, Mary negotiates to sell her firm to Benny for $1,000,000. As part of the agreement, Mary agrees not to practice accounting in Manhattan for a period of 18 months from the date of sale. One month after the sale of the business is made, Mary is feeling idle and bored so she begins to practice accounting again from her Manhattan apartment. She sends emails to her former clients letting them know she is “back in business.”

A - Is the agreement to sell the business from Mary to Benny fully enforceable?  

B - Does the agreement need to be in writing? Why or why not?

C - If Benny sues Mary and wins, to what relief would Benny, if any, be entitled?

Explain A-C fully.

Identifying and Exploiting Constraints, Constraint Elevation

Confer Company produces two different metal components used in medical equipment (Component X and Component Y). The company has three processes: molding, grinding, and finishing. In molding, molds are created, and molten metal is poured into the shell. Grinding removes the gates that allowed the molten metal to flow into the mold’s cavities. In finishing, rough edges caused by the grinders are removed by small, handheld pneumatic tools. In molding, the setup time is one hour. The other two processes have no setup time required. The demand for Component X is 600 units per day, and the demand for Component Y is 1,000 units per day. The minutes required per unit for each product are as follows:

The company operates one eight-hour shift. The molding process employs 24 workers (who each work eight hours). Two hours of their time, however, are used for setups (assuming both products are produced). The grinding process has sufficient equipment and workers to provide 400 grinding hours per shift.

The Finishing Department is labor intensive and employs 70 workers, who each work eight hours per day. The only significant unit-level variable costs are materials and power. For Component X, the variable cost per unit is $40, and for Component Y, it is $50. Selling prices for X and Y are $90 and $110, respectively. Confer’s policy is to use two setups per day: an initial setup to produce all that is scheduled for Component X and a second setup (changeover) to produce all that is scheduled for Component Y. The amount scheduled does not necessarily correspond to each product’s daily demand.

Required:

1. Calculate the time (in minutes) needed each day to meet the daily market demand for Component X and Component Y.

What is the major internal constraint facing Confer Company?

Molding

2. Describe how Confer should exploit its major binding constraint. Specifically, identify the product mix that will maximize daily throughput.

3. Assume that manufacturing engineering has found a way to reduce the molding setup time from one hour to 10 minutes. How many units of Component X and Component Y would be produced?

Identifying and Exploiting Constraints, Constraint Elevation

Confer Company produces two different metal components used in medical equipment (Component X and Component Y). The company has three processes: molding, grinding, and finishing. In molding, molds are created, and molten metal is poured into the shell. Grinding removes the gates that allowed the molten metal to flow into the mold’s cavities. In finishing, rough edges caused by the grinders are removed by small, handheld pneumatic tools. In molding, the setup time is one hour. The other two processes have no setup time required. The demand for Component X is 600 units per day, and the demand for Component Y is 1,000 units per day. The minutes required per unit for each product are as follows:

The company operates one eight-hour shift. The molding process employs 24 workers (who each work eight hours). Two hours of their time, however, are used for setups (assuming both products are produced). The grinding process has sufficient equipment and workers to provide 400 grinding hours per shift.

The Finishing Department is labor intensive and employs 70 workers, who each work eight hours per day. The only significant unit-level variable costs are materials and power. For Component X, the variable cost per unit is $40, and for Component Y, it is $50. Selling prices for X and Y are $90 and $110, respectively. Confer’s policy is to use two setups per day: an initial setup to produce all that is scheduled for Component X and a second setup (changeover) to produce all that is scheduled for Component Y. The amount scheduled does not necessarily correspond to each product’s daily demand.

Required:

1. Calculate the time (in minutes) needed each day to meet the daily market demand for Component X and Component Y.

What is the major internal constraint facing Confer Company?

Molding

2. Describe how Confer should exploit its major binding constraint. Specifically, identify the product mix that will maximize daily throughput.

3. Assume that manufacturing engineering has found a way to reduce the molding setup time from one hour to 10 minutes. How many units of Component X and Component Y would be produced?

Show the values contained in the instance variables elements and numElements of the sample collection after the following sequence of operations:

ArrayCollection<String> sample = new ArrayCollection<String>; sample.add("A"); sample.add("B"); sample.add("C"); sample.add("D"); sample.remove("B");

//---------------------------------------------------------------------------
// ArrayCollection.java by Dale/Joyce/Weems Chapter 5
//
// Implements the CollectionInterface using an array.
//
// Null elements are not allowed. Duplicate elements are allowed.
//
// Two constructors are provided: one that creates a collection of a default
// capacity, and one that allows the calling program to specify the capacity.
//---------------------------------------------------------------------------
package ch05.collections;

public class ArrayCollection<T> implements CollectionInterface<T>
{
protected final int DEFCAP = 100; // default capacity
protected T[] elements; // array to hold collection’s elements
protected int numElements = 0; // number of elements in this collection

// set by find method
protected boolean found; // true if target found, otherwise false
protected int location; // indicates location of target if found

public ArrayCollection()
{
elements = (T[]) new Object[DEFCAP];
}

public ArrayCollection(int capacity)
{
elements = (T[]) new Object[capacity];
}

protected void find(T target)
// Searches elements for an occurrence of an element e such that
// e.equals(target). If successful, sets instance variables
// found to true and location to the array index of e. If
// not successful, sets found to false.
{
location = 0;
found = false;

while (location < numElements)
{
if (elements[location].equals(target))
{
found = true;
return;
}
else
location++;
}
}

public boolean add(T element)
// Attempts to add element to this collection.
// Returns true if successful, false otherwise.
{
if (isFull())
return false;
else
{
elements[numElements] = element;
numElements++;
return true;
}
}

public boolean remove (T target)
// Removes an element e from this collection such that e.equals(target)
// and returns true; if no such element exists, returns false.
{
find(target);
if (found)
{
elements[location] = elements[numElements - 1];
elements[numElements - 1] = null;
numElements--;
}
return found;
}
  
public boolean contains (T target)
// Returns true if this collection contains an element e such that
// e.equals(target); otherwise, returns false.
{
find(target);
return found;
}

public T get(T target)
// Returns an element e from this collection such that e.equals(target);
// if no such element exists, returns null.
{
find(target);
if (found)
return elements[location];
else
return null;
}
  
public boolean isFull()
// Returns true if this collection is full; otherwise, returns false.
{
return (numElements == elements.length);
}

public boolean isEmpty()
// Returns true if this collection is empty; otherwise, returns false.
{
return (numElements == 0);
}

public int size()
// Returns the number of elements in this collection.
{
return numElements;
}
}

1. A “bed of nails” is a huge number of nails arranged in a piece of wood so that they all point up with the sharp points vertically upward. A person can lay down on the “bed of nails” and rest on these thousands of nails without pain or injury. Explain how this can occur.

2. A huge battleship is made of steel which has a density close to iron (almost ten times that of water) yet it can float. Explain why.

3. When a fluid flows through a constriction in a pipe, does the pressure in the fluid increase, decrease of remain constant. Explain your answer fully.

4. A large tank full of water has a nozzle which is open and water shots out of the nozzle vertically. The calculated speed of efflux of water is , which means the water fountain should rise as high as the upper surface of the water as it drains from the tank. In reality, does this actually happen. Justify your answer.

5. What is the difference between pressure and stress, if any? Explain including the units for each.

1. On a day when the atmospheric pressure is, a diver at the bottom of a fresh water lake at a depth of 26m finds a open glass tube (closed a the bottom) containing an unknown liquid (density = 5.6 g/cm3) which is 1.75 m deep. What is the absolute pressure at the bottom of the unknown liquid?

2. A rectangular shaped dam is 460m deep and 1000m wide. It holds fresh water. What is the total force due to water pressure on the dam?

3. A rectangular block of plastic (density = 3.00 x 102 kg/m³) if dimensions l = 25.0 cm, w = 15.0 cm and h = 12.0 cm is placed in water. A) What volume of the block is submerged? B) A metallic (volume 15.0 cm³) block is now placed on top of the plastic block so that the water level is exactly at the top of the plastic block. What is the density of the metallic block?

4. A fluid flows through a horizontal circular pipe that widens, making a 45^o angle with the y axis as shown below. The thin part of the pipe has radius 3 cm and the speed of the fluid is .15 m/s . If the x axis has origin at the point where the pipe widens, what is the speed of the fluid when x= 10 cm?

5. Liquid toxic waste with a density of 1752 kg/m3 is flowing through a section of pipe with a radius of 0.312m at a velocity of 1.64 m/s. a) what is the velocity of the waste after it goes through a constriction and enters a second section of pipe at a radius of 0.222m? b) If the waste is under a pressure of 850,000 Pa in the first section of pipe, what is the pressure in the second section? c) If the second section of pipe flowing horizontally turns to vertical, how high would the fluid have to rise so that the pressure decreases by 50%?

6. Water is flowing in a pipe has a diameter at point A of 8.00 cm tapering to 3.50 cm at point B. Point B is 12.0 cm below point A. The water pressure at point A is 3.20 x 10⁴ Pa and decreases by 50% at point B. Assume steady, ideal flow. What is the speed of water at point A? What is the speed of the water at point B?

7. Calculate the atmospheric pressure in pascals if the height of a mercury column in a barometer is 760 mm. The density of mercury is 13.6 x 10³ kg/m³.

8. What fraction of an iceberg is above water when floating in fresh water? Assume the density of the iceberg is 917 kg/m³.

9. A cylindrical tank of height 0.40 m is open at the top and has a diameter of 0.16m. It is filled with water (assume it to be an ideal fluid, no viscosity) up to a height of 0.16m. Find the time it takes to empty the tank through a hole of radius 5.0 x 10^-3 m in the bottom of the tank.

10. In a hydraulic lever, the cross sectional areas of the pistons are 0.250 m² and 1.00 m². We minimum amount of force that must be applied to the smaller piston to support a car of mass 1200 kg that is resting on the larger piston?

3a.What does the probability of an event E say, and how is it denoted symbolically?

3b. Are there any limitations to the measured value of the probability of an event?

Identify the parameters p and n in the following binomial distribution scenario. A basketball player has a 0.511 probability of making a free throw and a 0.489 probability of missing. If the player shoots 25 free throws, we want to know the probability that he makes no more than 10 of them. (Consider made free throws as successes in the binomial distribution.)

A binomial distribution has p​ = 0.27 and n​ = 94

Use the normal approximation to the binomial distribution to answer parts ​(a) through ​(d) below.

​a) What are the mean and standard deviation for this​ distribution?

​b) What is the probability of exactly 18 ​successes?

​c) What is the probability of 20 to 27 ​successes?

​d) What is the probability of 13 to 22 ​successes?