The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company’s products is increasing, and management requests assistance from you in determining an economical sales and production mix for the coming year. The company has provided the following data:

The following additional information is available:  

1. The company’s plant has a capacity of 100,400 direct labor-hours per year on a single-shift basis. The company’s present employees and equipment can produce all five products.

2. The direct labor rate of $10 per hour is expected to remain unchanged during the coming year.

3. Fixed manufacturing costs total $575,000 per year. Variable overhead costs are $2 per direct labor-hour.

4. All of the company’s nonmanufacturing costs are fixed.

5. The company’s finished goods inventory is negligible and can be ignored.

Required:

1. How many direct labor hours are used to manufacture one unit of each of the company’s five products?

2. How much variable overhead cost is incurred to manufacture one unit of each of the company’s five products?

3. What is the contribution margin per direct labor-hour for each of the company’s five products?

4. Assuming that direct labor-hours is the company’s constraining resource, what is the highest total contribution margin that the company can earn if it makes optimal use of its constrained resource?

5. Assuming that the company has made optimal use of its 100,400 direct labor-hours, what is the highest direct labor rate per hour that Walton Toy Company would be willing to pay for additional capacity (that is, for added direct labor time)?

1.  A rectangular loop of wire (0.2 m wide and 0.3 m tall) carrying a current of 0.6 A is in the xy plane, with its right edge along the +y axis. A magnetic field (uniform, B = 1.2 T) exists along a direction that is 74° from the +z axis in the xz plane. What magnitude of torque will act on the loop of wire at that moment ? a) 0.42 Nm b)0.15 Nm c) 0.04 Nm d) 0.09 Nm

2. If the B-field in the previous problem was oriented at 50° from +x in the xz plane determine the magnitude and direction of the torque on a 150 turn loop of the same size as the coil in question#1. a) 4.2 Nm, along +y b) 2.8 Nm, along +y c) 1.1 Nm, along +z d) 0.5 Nm, along +z

3. Will the plane of the coil of wire in question #2 initially swing toward the +z or the -z axis? a) +z b) -z c) Neither +z nor -z

4. For the torque on a current carrying loop to be maximized, the angle between the normal to the plane of the loop and the B-field must be: a) zero. b)45°. c) 90° d) 180°

In Java, write a program that solves the following problem.

An arena can seat 12,000 people for an event. If the arena was full and you were to poll everyone for which day of the year (between 1 and 365, inclusive) they were born, determine which days had the most birthdays and which days had the fewest birthdays.

Write a program that will generate 12,000 random birthdays (integer numbers) between 1 and 365 and count how many people have that same birthday. Output a listing of the days that have the most birthdays and the days that have the fewest birthdays. You do not need to convert a number like 32 to an actual date (February 1^st).

Do NOT change your class name from "Main". Your filename should be "Main.java".

Your code will have two classes:

• the Main class will hold the main() method.
  • From this class, you will create an object of the Arena class.
  • This object will call responsible methods in the Arena class to print the MAX and MIN birthday dates.
• the Arena class will have a random number generation method.
  • This class's constructor will take #of people in the area as an input.
  • With this number, you will create an array and a method will put random numbers between 1 and 365 in this array.
  • Two other methods in this class will determine the days with MAX and MIN birthdays.
  • Make sure to print ALL maximum and minimum birthdate days.

The two classes can be part of the same file. A naive example structure is shown below.

public class Main{

public static void main(String args[]){
Arena a = new Arena();
a.printArena();
}
}

class Arena{
void printArena() {
System.out.println("I am arena");
}
}

Sample Output

The following days have 75 people:

147

The following days have 35 people:

143 312

Windows Server 2012 Inside Out Chapter 10 pages 369 to 395

1. In the Control Panel, where we were in Step 6, click on Change in the Virtual Memory panel. What is the current setting? (See pages 375-6 and Figure 10-4)
2. You could uncheck this box, and select “No paging file”.    A) Will this effect system performance on Enterprise servers? Explain. B) Why is setting the paging file to 0 MB not recommend? (See Caution on page 377.)
3. Open the Task Manager. Choose the Process tab and make sure “More Details” is selected. (See Figure 10-5 on page 379.)
   1. A) What applications are running? B) What is the difference between an application and a process? (See page 378.) 4B) A) What is the percentage of CPU and Memory Usage? B) What is the percentage of CPU usage and how much memory is used by Task Manager?

For the following reaction, Kc = 255 at 1000 K.
CO (g) + Cl2 (g) ? COCl2 (g)

A reaction mixture initially contains a COconcentration of 0.1490 M and a Cl2concentration of 0.177 M at 1000 K.

What is the equilibrium concentration of CO at 1000 K?

What is the equilibrium concentration of Cl2 at 1000 K?

What is the equilibrium concentration of COCl2 at 1000 K?

The solute HCl(A) is diffusing through a 2-mm thick film of water (B) at 283 K. The concentration of HClat point 1 at one boundary of the film is 12 wt% HCl(density r1=1060 kg/m3), and at the other boundary at point 2 it is 6 wt% HCl(r2=1030.3 kg/m3.) Take diffusion coefficient of HClin H2O as 2.5e-9 m2/s, assume steady state and one boundary impermeable to water. Calculate the flux of HCl ( in mol/m^2*s)

Write a function that plots a spline curve for arbitrary x values if a solution for Ci is provided in vector form. Name the function spline_group and illustrate results.

Matlab Program

The production of yogurts is carried out by adding a specific strain of bacteria to pasteurised milk. The bacteria consumes lactose in the milk to produce lactic acid. Assume the fermentation reaction can be simplified by the following reaction:

Lactose (A) + bacteria cells (C) à more bacteria cells (C) + lactic acid (R)

The data below shows the concentration of lactose from a 2 L mixed flow reactor at 40 ^oC.

Table 1: Experimental data for lactic acid fermentation

1. Show that the data fits substrate limited Monod Kinetics. Find the k and C_M values. Show your plot to obtain the kinetics values.
2. What is the highest rate of reaction of A (-r_A) when C_A0 = 4 mg/L, C_C0= 0 and C/A = 3.
3. Determine the concentration of cell C_C that can be produced using

a 100 L mixed flow reactor (MFR) operating at optimum condition for an inlet flowrate of 5 L/min. Sketch your reactor scheme (i.e. show whether there is a need to by pass and by how much)

A long piece of wire with a mass of 0.170 kg and total length of 4.00 m is used to make a square coil with a side of 0.100 m. The coil is hinged along a horizontal side, carries a 3.20 A current, and is placed in a vertical magnetic field with a magnitude of 0.0100 T.

Predict whether capsaicin is more soluble in oil or in water. What consequences does this have for cooking with chili peppers?

First, create a class object named SequenceMap that has as private data members the following two:

string recognition_sequence_ ;

vector enzyme_acronyms_;

Other than the big-five (note that you can use the defaults for all of them), you have to add the following:

a) A constructor SequenceMap(const string &a_rec_seq, const string &an_enz_acro),that constructs a SequenceMap from two strings (note that now the vector enzyme_acronyms_ will contain just one element, the an_enz_acro).

b) bool operator<(const SequenceMap &rhs) const, that operates based on the regular string comparison between the recognition_sequence_ strings (this will be a one line function).

c) Overload the operator<< for SequenceMap.

d) void Merge(const SequenceMap &other_sequence). This function assumes that the object’s recognition_sequence_ and other_sequence.recognition_sequence_ are equal to each other. The function Merge() merges the other_sequence.enzyme_acronym_ with the object’s enzyme_acronym_. The other_sequence object will not be affected.

Please test it with your own test functions to make sure that it operates correctly.

Please also show the test functions that you utilize so I can also implement it.

thank you.

As a technician in a large pharmaceutical research firm, you need to produce 400. mL of 1.00 M a phosphate buffer solution of pH = 7.08. The pKa of H2PO4−  is 7.21. You have 2.00 LL of 1.00 M KH2PO4 solution and 1.50 L of 1.00 M K2HPO4 solution, as well as a carboy of pure distilled H2O. How much 1.00 M KH2PO4 will you need to make this solution?

What decimal number does the bit pattern 11001100 represent if it is a unsigned integer?

Is the United States better or worse because of the outsourcing to China? Then do a research on it. Find academic articles or news that support and/ or against outsourcing.

Describe how changes in the environment can alter expression?