2) Assume the following (1) selling price per unit = $25, (2) total fixed expenses = $21,894, (3) the contribution margin ratio = 37%, and (4) net operating income = $10,000. Given these four assumptions, unit sales must be:

A) 2172

B) 1276

C) 3448

D) 4310

3)Assume a company is preparing a budget for its first two months of operations. During the first and second months it expects credit sales of $45,000 and $75,000, respectively. The company expects to collect 45% of its credit sales in the month of the sale and the remaining 55% in the following month. What amount of cash collections from credit sales would the company include in its cash budget for the second month?

A) 58,500

B) 54,000

C) 41,250

D) 33,750

6) Assume a merchandising company provides the following information from its master budget for the month of May:

If the company maintains no beginning or ending merchandise inventory and makes all of its inventory purchases on account, what is the budgeted net operating income for May?

A) 19000

B) 9500

C) 30,000

D) 39,500

In Operation Costing,

1. Briefly discuss the features of your chosen costing system.
2. Identify 2 specific Australian organisations that your chosen costing system is suitable to, and explain why.
3. Discuss the potential uses of the cost information for decision-making, to the managers in each of the 2
organisations selected in Q2 above.

(Make it Detailed)

Consider the unit sphere x2 +y2 +z2 = 1 and the cone (z+√2)2 = x2 +y2. Show that these surfaces are tangent where they intersect, that is, for a point on the intersection, these surfaces have the same tangent plane

1. Explain/Discuss what a colligative property is. Provide at least 2 examples of colligative properties.

2. Provide at least one real-life application of freezing point depression.

3. Define the concentration term molality (m). Under what conditions are Molarity and molality approximately the same?

4. Discuss/Explain why the temperature of a substance remains relatively constant during the freezing of liquid to solid.

Consider the IVP x' = t^2 +x^2, x(0) = 1. Complete the following table for the numerical solutions of given IVP with step-size h = 0.05.

t - x by Euler’s Method - x by Improved Euler’s Method

0 -    1 - 1

0.05 - …….    - ……...

0.1 -    ……. - ……..

Consider the IVP t²y''−(t² + 2)y' + (t + 2)y = t³ with y(1) = 0 and y'(1) = 0.

• One function in the fundamental set of solutions is y₁(t) = t. Find the second function y₂(t) by setting y₂(t) = w(t)y₁(t) for w(t) to be determined.

• Find the solution of the IVP

Consider the IVP t²y''−(t² + 2)y' + (t + 2)y = t³ with y(1) = 0 and y'(1) = 0.

• One function in the fundamental set of solutions is y₁(t) = t. Find the second function y₂(t) by setting y₂(t) = w(t)y₁(t) for w(t) to be determined.

• Find the solution of the IVP

1. Describe the 2 major body regions of a typical mollisk?
2. Annelids exhibit body segmentation. why is this a major evolutionary innovation?
3. Why are insects so successful??

Consider a sample with 10 observations of 2, 3, 10, 13, 12, 5, –1, 10, 2, and 12. Use z-scores to determine if there are any outliers in the data; assume a bell-shaped distribution. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)

Consider the following data for two investments, A and B:

Given a risk-free rate of 1.90%, calculate the Sharpe ratio for each investment. (Round your answers to 2 decimal places.)