C: Postlab Section: Design Calculation

1. Show the state table of 4-Bit synchronous binary counters.

2. Derive the transition table for JK flip-flop.

3. Derive the logic equation using Karnaugh Map.

4. Draw the corresponding logic circuit.

5. Draw the timing diagram for the circuit.

6. By observation on the 3-bit and 4-bit counter circuit, you should see a pattern. Apply the pattern to construct a 5-bit counter without going through the 5 steps above.

Given the following coordinates: (f, 9), (z, 2), (t, 4), (x, 8), (b, 1), (m, 7).

Sort the coordinates in Python (in ascending order) by comparing the first part of the

coordinates. You may use the sort() function in Python.

Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to customers. Although one cost clearly relates to travel times within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. A sample of 20 deliveries within a territory was selected. The delivery time and the number of cases delivered were recorded. Develop a regression model to predict delivery time based on the number of cases delivered. Use the least-square method to calculate the regression coefficients, b0 and b1. Showing all formulas and equations a) Write your regression equation. b) Determine the coefficient of determination, r2, and explain it meaning in this problem. c) Perform a residual analysis. Is there any evidence of patterns in the residuals? Explain.

If your formulas are correct, you should get the correct answers to the following questions.

(a) What is the net operating income (loss) in Year 1 under absorption costing?

(b) What is the net operating income (loss) in Year 2 under absorption costing?

(c) What is the net operating income (loss) in Year 1 under variable costing?

(d) What is the net operating income (loss) in Year 2 under variable costing?

Make a note of the absorption costing net operating income (loss) in Year 2.

At the end of Year 1, the company’s board of directors set a target for Year 2 of net operating income of $20,000 under absorption costing. If this target is met, a hefty bonus would be paid to the CEO of the company. Keeping everything else the same from part (2) above, change the units produced in Year 2 to 4,400 units.

(a) Would this change result in a bonus being paid to the CEO?

(b) What is the net operating income (loss) in Year 2 under absorption costing?

(c) Would this doubling of production in Year 2 be in the best interests of the company if sales are expected to continue to be 2,400 units per year?

Building Consolidators, Ltd. Identified five industry segments: (1) plastics, (2) metals, (3) lumber, (4) paper, and (5) finance. Each of these segments had been consolidated appropriately by the company in producing its annual financial statements. Information describing each segment is presented in the table below (in thousands).

1) Using the revenue test, determine which of these segments was separately reportable.

2) Using the profit or loss test, determine which of these segments was separately reportable.

3) Using the asset test, determine which of these segments was separately reportable.

Calculate the measures of forecast error using the naive (most recent value) method and the average of historical data (to 2 decimals).

Consider the following time series data. Week 1 2 3 4 5 6 Value 18 13 17 12 17 15 a. Which of the following is a correct time series plot for this data? What type of pattern exists in the data? b. Develop the three-week moving average forecasts for this time series. Compute MSE and a forecast for week (to 2 decimals if necessary). MSE The forecast for week c. Use to compute the exponential smoothing forecasts for the time series. Compute MSE and a forecast for week (to 2 decimals). MSE The forecast for week d. Compare the three-week moving average approach with the exponential smoothing approach using . Which appears to provide more accurate forecasts based on MSE? e. Use a smoothing constant of to compute the MSE (to 2 decimals). Does a smoothing constant of or appear to provide more accurate forecasts based on MSE? The exponential smoothing forecast using provides a forecast than the exponential smoothing forecast using since it has a smaller MSE.

1. Calculate and show example of the

(a) Urine production rate (ml/min)

(b) Na⁺ excretion rate (mmol/min)

(c) Osmolar excretion rate (mOsm/min)

2. What are the possible reason that could lead to one of the subjects have high urine production rate but low urine flow rate? Provide and explain using two examples