Net Realizable Value Method, Decision to Sell at Split-off or Process Further

Pacheco, Inc., produces two products, overs and unders, in a single process. The joint costs of this process were $60,000, and 13,000 units of overs and 35,000 units of unders were produced. Separable processing costs beyond the split-off point were as follows: overs, $16,000; unders, $19,900. Overs sell for $2.00 per unit; unders sell for $3.14 per unit.

Required:

1. Allocate the $60,000 joint costs using the estimated net realizable value method.

Allocated Joint Cost
Overs $
Unders $

2. Suppose that overs could be sold at the split-off point for $1.80 per unit. Should Pacheco sell overs at split-off or process them further?
Overs should not  be processed further as there will be $ more  profit if sold at split-off.

Net Realizable Value Method, Decision to Sell at Split-off or Process Further Pacheco, Inc., produces two products, overs and unders, in a single process. The joint costs of this process were $60,000, and 13,000 units of overs and 35,000 units of unders were produced. Separable processing costs beyond the split-off point were as follows: overs, $16,000; unders, $19,900. Overs sell for $2.00 per unit; unders sell for $3.14 per unit. Required: 1. Allocate the $60,000 joint costs using the estimated net realizable value method. Allocated Joint Cost Overs $ 6,000 Unders $ 54,000 2. Suppose that overs could be sold at the split-off point for $1.80 per unit. Should Pacheco sell overs at split-off or process them further? Overs should not be processed further as there will be $ 10,000 more profit if sold at split-off.

1. How long does it take an ambulance to respond to a request for emergency medical aid? One of the goals of one study was to estimate the response time of ambulances using warning lights (Ho & Lindquist, 2001). They timed a total of 67 runs in a small rural county in Minnesota. They calculated the mean response time to be 8.51 minutes, with a standard deviation of 6.64 minutes. Calculate a 95% confidence interval for the mean for this set of data.

1. State the desired level of confidence.
2. Calculate the confidence interval and confidence limits.
   • (1) Calculate the standard error of the mean (s¯¯¯X).(sX¯).
   • (2) Calculate the degrees of freedom (df ) and identify the critical value of t.
   • (3) Calculate the confidence interval and confidence limits.
3. Draw a conclusion about the confidence interval.

a 95% confidence interval was constructed for N = 67 ambulance runs. Assuming the mean and standard deviation remained the same (¯¯¯X=8.51,s=6.64)…(X¯=8.51,s=6.64)…

1. What is the confidence interval for the mean for N = 125 ambulance runs rather than 67?
2. What is the confidence interval for the mean for N = 33 ambulance runs rather than 67?
3. How do these two confidence intervals compare with the 95% confidence interval of (6.89, 10.13) calculated in Exercise 8?

2. For each of the following situations, calculate a 95% confidence interval for the mean (σ known), beginning with the step, “Identify the critical value of z.”

1. ¯¯¯X=50.00,σ¯¯¯X=3.00

5. A current loop sits in the x ? y plane, centered on the origin. At the origin, the magnetic field due to the loop points in the positive z direction. What direction does the current in the loop run when viewed from the positive z direction?

(a) Counter-clockwise.

(b) Clockwise.

(c) The current is zero.
(d) More information is needed.

6. Two long conducting wires sit parallel to one another. The magnetic field at a point exactly half way between the two wires is measured to be zero. Which of the following statements could be true? (Choose all that could be true)

(a) The current through one wire is zero, but not both.

(b) The current through both wires is zero.

(c) The same current runs through both wires in the same direction.

(d) The same current runs through both wires in opposite directions.

7. Two long conducting wires set parallel to one another. The magnetic field at a point exactly one-quarter of the way between the two wires is measured to be non-zero. Which of the following statements could be true? (Choose all that could be true)

(a) The current through one wire is zero, but not both.

(b) The current through both wires is zero.

(c) The same current runs through both wires in the same direction.

(d) The same current runs through both wires in opposite directions.

8. A long straight wire lies on the y-axis. The wire sits in a uniform external magnetic field that points in the negative z direction. The net magnetic field at a point on the positive x axis is found to be zero, what can be said about the current in the wire?

(a) The current must be in the positive y direction.

(b) The current must be in the negative y direction.

(c) The current must be zero.

(d) This scenario is not possible.

9. A ferromagnet and electromagnet can be used together to

(a) Create a strong magnetic field.
(b) Create a weak magnetic field.
(c) Cancel any external magnetic fields.

(d) Create a heavy magnet.

10. A long straight wire lies on the z axis. The wire sits in a uniform external magnetic field that points in the negative

y direction. The net magnetic field at a point on the positive x axis is found to be zero, what can be said about the current in the wire?

(a) The current must be in the positive z direction.

(b) The current must be in the negative z direction.

(c) The current must be zero.

(d) This scenario is not possible.

The Monty Hall problem solved on Matlab. Please show code. You are given a choice between three doors. Behind one door is a new car and behind the other two doors is a goat. You first pick one of the doors at random. Then, a door with a goat is opened for you. You are then given the option to switch your door to the other unopened door. Should you do this? What are your odds of winning if you switch vs not switching? Show using matlab with a large number of runs, where you keep your selection 50% of the time and switch 50% of the time.

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Additional production information about its two product lines follows.

Required:
1. Using a plantwide overhead rate based on cases, compute the overhead cost that is assigned to each case of Extra Fine Salsa and each case of Family Style Salsa.
2. Using the plantwide overhead rate, determine the total cost per case for the two products if the direct materials and direct labor cost is $8 per case of Extra Fine and $7 per case of Family Style.
3.a. If the market price of Extra Fine Salsa is $16 per case and the market price of Family Style Salsa is $10 per case, determine the gross profit per case for each product.
3.b. What might management conclude about the Family Style Salsa product line?

Write a C program to control an autonomous robot. It runs on two wheels, each wheel connected to a DC motor. If both wheels run at the same speed, robot moves forward. If the right wheel runs slower, robot makes a right turn. There are two sensors mounted on the robot that can detect an obstacle, one in the front, one on the right.

Once the robot is turned on, it moves forward at 80% of the maximum possible speed. When an obstacle is detected in front, if there is nothing blocking on the right side; it slows down to 40% of maximum speed and then it makes a right turn. Unless there is an obstacle on the right side too, then the robot will stop.

You must use PWM to control the wheels. The sensor outputs are digital, the mbed board will detect low when no obstacle and will detect high, when there is an obstacle. This is pin connections for this robot.

Device LPC1768 mbed pin

Right wheel pin 21

Left wheel pin 22

Front sensor pin 10

Right sensor pin 11

Use a flowchart to show the algorithm of your program.

(b) The battery in Ali’s phone runs out at random moments. Over a long period, he found that the battery runs out, on average 4 times in a 30-day period.

(i) Find the probability that the battery runs out fewer than 3 times in a 25-day period.

(ii) Find the probability that the battery runs out more than 50 times in a year (365 days).

(iii) Independently of his phone battery, Ali’s computer battery also runs out at random moments. On average, it runs out twice in a 15-day period. Find the probability that the total number of times that his phone battery and his computer battery run out in a 10-day period is at least 4.

A baseball coach reviews the number of runs hit per game for the past several seasons. Since the team plays so many games, he selects a random sample of 10 games and records the number of runs scored in each game. The average number of runs scored is 8 with a standard deviation of 2.4 runs.

Compute the margin of error given a confidence level of 99%.

The baseball diamond at Grayson Stadium is a square with 90 ft sides. A batter hits the ball
and runs to the right toward first base with a constant speed of 24 ft/s. At the same time a
runner on 3rd base runs home at a constant speed of 28 ft/s. At what rate is the distance
between the two runners changing two seconds after they start running?

In Java create a Flowchart that does the following. Suppose you shop for rice in two different packages. You would like to write a program to compare the cost. The program prompts the user to enter the weight and price of each package and displays the one with the better price. Here are two sample runs: Enter the weight for package 1: 50 Enter the price for package 1: 24.59 Enter the weight for package 2: 25 Enter the price for package 2: 11.99 Package 2 has a better price. Enter the weight for package 1: 50 Enter the price for package 1: 25 Enter the weight for package 2: 25 Enter the price for package 2: 12.50 The two packages have the same price.