Problem 4-15 Comprehensive Problem-Weighted-Average Method [LO4-2, LO4-3, LO4-4, LO4-5]

Sunspot Beverages, Ltd., of Fiji uses the weighted-average method in its process costing system. It makes blended tropical fruit drinks in two stages. Fruit juices are extracted from fresh fruits and then blended in the Blending Department. The blended juices are then bottled and packed for shipping in the Bottling Department. The following information pertains to the operations of the Blending Department for June.

Required:

1. Calculate the Blending Department's equivalent units of production for materials and conversion in June.

2. Calculate the Blending Department's cost per equivalent unit for materials and conversion in June.

3. Calculate the Blending Department's cost of ending work in process inventory for materials, conversion, and in total for June.

4. Calculate the Blending Department's cost of units transferred out to the Bottling Department for materials, conversion, and in total for June.

5. Prepare a cost reconciliation report for the Blending Department for June.

XYZ Co is a manufacturer of baby equipment and is planning to launch a revolutionary new style of sporty pushchair. The company has commissioned market research to establish possible demand for the pushchair and the following information has been obtained.

If the price is set at $425, demand is expected to be 1,000 pushchairs, at $500 it will be 730 pushchairs and at $600 it will be 420 pushchairs. Variable costs are estimated at either $170, $210 or $260.

A decision needs to be made on what price to charge.

The following contribution table has been produced showing the possible outcomes.

1)Which one of the following techniques, used by XYZ Co, reduces uncertainty in decision making?

1.Relevant costing

2.Expected value analysis

3.Market research

4.Sensitivity analysis

2)What price would be set if XYZ were to use a minimax regret decision criterion?

1.$425

2.$500

3.Not possible to determine from the available information

4.$600

3)What price would be set if XYZ were to use a maximin decision criterion?

1/$425

2.Not possible to determine from the available information

3.$500

4.$600

4)If the probabilities of the variable costs are $170: 0.4, $210: 0.25 and $260: 0.35, which price would the risk-neutral decision maker choose?

1.$500

2.$425

3.$600

4.Not possible to determine from the available information

5)What price would be set if XYZ were to use a maximax decision criterion?

1.$500

2.$600

3.$425

4.Not possible to determine from the available information

Question 1-

A graphing calculator is recommended.

Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? Suppose that the table below shows the results of a study.

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. (Let 1 = White, 2 = Black, 3 = Hispanic, and 4 = Asian.)

1) Enter an exact number as an integer, fraction, or decimal.

df(num) =

2)Enter an exact number as an integer, fraction, or decimal.

df(denom) =

3)What is the test statistic? (Round your answer to two decimal places.)

4) What is the p-value? (Round your answer to four decimal places.)

5)  Alpha (Enter an exact number as an integer, fraction, or decimal.)

α =

Question 2-College students may be interested in whether or not their majors have any effect on starting salaries after graduation. Suppose that 298 recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Below are the data. Conduct a test of independence. (Use a significance level of 0.05.)

1) What is the test statistic? (Round your answer to two decimal places.)

2) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =  

3) Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not attempt to find the solution t(t − 4)y" + 3ty' + 4y = 2 = 0, y(3) = 0, y'(3) = −1.

4) Consider the ODE: y" + y' − 2y = 0. Find the fundamental set of solutions y1, y2 satisfying y1(0) = 1, y'1 (0) = 0, y2(0) = 0, y'2 (0) = 1.

1. Construct and interpret a correlation matrix for your data. and explain the relationship.
2. Show the step wise process of determining the best regression model to predict PRICE. EXPLAIN the process as you move from the full model to your final model.
3. make 3 regression models based on cars, bedroom, bath room.
4. Using your final model, select values for the independent variables and predict the house’s sales price.

1. Plz do all the calculations on excel n show the excel files.
2. Construct and interpret a correlation matrix for your data.
3. Show the step wise process of determining the best regression model to predict PRICE Anova. EXPLAIN the process as you move from the full model to your final model.
4. Using your final model, select values for the independent variables and predict the house’s sales price.

The quarterly sales data (number of book sold) for Christian book over the past three years in California follow: (You can use Excel to compute the equation)

1. Construct a line graph showing the pattern of Christian book sales. Please make sure ‘time/quarter’ is represented by the horizontal line and ‘quarterly sale’ is represented by the vertical line. What type of pattern exists in the data?

2. Use the following dummy variables to develop an estimated regression equation to account for any seasonal effects in the data: Quarter1=1 if the sales data point is in Quarter 1, otherwise Quarter 1=0; Quarter 2=1 if the sales data point is in Quarter 2, otherwise, Quarter 2=0; Quarter 3=1 if the sales data point is in Quarter 3, otherwise Quarter 3=0. 3.

3. Compute the quarterly forecasts for next year.

4. 4. Let t=1 to refer to the observation in quarter 1 of year 1; t=2 to refer to the observation in quarter 2 of year 1;,,,, and t=12 to refer to the observation in quarter 4 of year 3. Using the dummy variables defined in part (b) and t, develop an estimated regression equation to account for seasonable effects and any linear trend in the time series. Based upon the seasonal effects in the data and linear trend, compute the quarterly forecasts for next year.

I ALREADY HAVE THE CORRECT ANSWERS. CAN YOU EXPLAIN TO ME HOW AND/OR WHY THESE ARE THE ANSWERS? THANK YOU :)

int a(int &x, int y) { x = y; y = x + 1; return y;

}

int b(int &x, int y) { y = x + 1; x = y; return y;

}

void c(int x, int y) { if (x > 2) return; cout << y; c(x + 1, y - 1);

}

int main() {

int x[2][3] = {{1, 2, 3}, {4, 5, 6}};

int y[3] = {7, 8, 9};

cout << x[1][1] << endl;   // line (a)

y[0] = a(y[0], y[1]);

cout << y[0] << y[1] << endl; // line (b)

cout << b(x[0][2], x[1][2]) << endl;    // line (c)

cout << x[0][2] << x[1][2] << endl; // line (d)

c(0, 4); cout << endl; // line (e)

}

(a) What is the output from the instruction beginning on line (a)?

Answer: 5

(b) What is the output from the instruction beginning on line (b)?

Answer: 98

(c) What is the output from the instruction beginning on line (c)?

Answer: 4

(d) What is the output from the instruction beginning on line (d)?

Answer: 46

(e) What is the output from the instruction beginning on line (e)?

Answer: 432

Daryl Kearns saved $240,000 during the 25 years that he worked for a major corporation. Now he has retired at the age of 50 and has begun to draw a comfortable pension check every month. He wants to ensure the financial security of his retirement by investing his savings wisely and is currently considering two investment opportunities. Both investments require an initial payment of $189,000. The following table presents the estimated cash inflows for the two alternatives:

PV Table 1 Year 1-4

PVA

Mr. Kearns decides to use his past average return on mutual fund investments as the discount rate; it is 12 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)

Required

1. Compute the net present value of each opportunity. Which should Mr. Kearns adopt based on the net present value approach?

2. Compute the payback period for each opportunity. Which should Mr. Kearns adopt based on the payback approach?

Problem 31. Calculate the expected value and variance of X for each of the following scenarios.

1. X = {0, 1} where each has equal probability. (A coin flip)

2. X = {1, 2, 3, 4, 5, 6} where each has equal probability. (A die roll)

3. X = {0, 1} with f(0) = 1/3 and f(1) = 2/3.

4. X = B(3, 0.35). (Use info from Problem 26.)(Problem 26. Let X = B(3, 0.35). Calculate each f(k) and the sum X 3 k=0 f(k).)

Problem 32. Calculate the expected value and variance of X = B(3, 0.35) by using Theorem 41. Compare the results to part 4 of Problem 31.

Problem 33. Let (X, f) be a CPD. Show that P(X = x) = 0 for any x ∈ X.

Problem 34. Consider f : R → R defined by f(x) = 1 1 + x 2 . Explain why f is not a PDF, and find a constant c so that cf is a PDF.

Problem 35. Let F be a CDF for a CPD (X, f). Find lim x→−∞ F(x) and limx→∞ F(x).