A beam is subjected to equal bending moments M = 6.5 kip-ft, as shown. The cross-section of the beam is also shown. The top rectangular area (1) has cross-section dimensions b1 x d1, as shown, where b1 = 6.5 in. and d1 =1.50 in. The left and right rectangular legs (2) and (3) are of dimensions b2 x d2 as shown, where b2=0.75 in. and d2=6.0 in. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H, which is located yH = 1.0 in. below the z centroidal axis. State whether the normal stress at H is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. Calculate the cross-sectional areas A1, A2, and A3 for areas (1), (2), and (3), respectively. Answers: A1 = in.2. A2 = in.2. A3 = in.2.

Part 2 Determine the location of the y direction centroids of areas (1), (2), and (3) with respect to the reference axis at the bottom of the cross-section.

Part 3 Determine the centroid location in the y direction for the beam cross-section with respect to the reference axis at the bottom of the cross-section.

Part 4 Determine the moment of inertia Ic1 for area (1) about its own centroid, y1.

Part 5 Determine the moment of inertia Iz1 for area (1) about the z centroidal axis of the cross-section.

Part 6 Determine the moment of inertia Ic2 for area (2) about its own centroid, y2.

Part 7 Determine the moment of inertia Iz2 for area (2) about the z centroidal axis of the cross-section.

Part 8 Determine the moment of inertia Ic3 for area (3) about its own centroid, y3.

Part 9 Determine the moment of inertia Iz3 for area (3) about the z centroidal axis of the cross-section.

Part 10 Determine the moment of inertia Iz for the cross-section about the neutral axis.

Part 11 Determine the section moduli Stop and Sbot of the cross-section. Note which one is the controlling section modulus.

Part 12 Determine the bending stress at point H (positive if tensile, negative if compressive).

Part 13 Determine the maximum bending stress produced in the cross section. Make a note on paper of whether the stress is tension or compression. Note that the maximum bending stress is the bending stress with the largest absolute value. However, report the answer here using the correct sign according to the flexure formula.

Exhibit 1: Table compares changes in key financial KPIs between 2008 and 2009, as follows:

Data gathered from table used to answer problem below:

1) Inventory growth rate = COGS/average inventory= 38.9/6.8= 5.72

average inventory = opening inventory + Closing inventory/2 = 4.9+8.7/2 = 6.8

2) Sales growth = CY sales - Py sales/py sales *100 = 38.9 - 29/29 * 100 = 34.1%

3) Net Working capital = Current liabilties - current assets = 6.7 - 22.2 = (15.5)

4) Days working capital = Avg working capital/sales revenue * 365 = 15.5/86.3*365 = 65.5 days

5) DIO= average inventory/COGS*365 = 6.8/38.9*365= 63.8 days

6) DSO= avg account recievable/sales*365 = 14.8 days

7) DPO= avg account payable/cogs * 365 = 2.075/38.9 * 365 = 19.4 days

8) CCC = DSO+DIO-DPO= 14.8+63.8-19.4= 59.2

Using the supporting data, provide an analysis of the current situation at SG. Identify the key symptoms and provide clear problem statements to identify the root causes that result in the symptoms and poor performance. Please use the course strategic framework tools, concepts, and Operations Rules for your analysis.

Exhibit 1: Table compares changes in key financial KPIs between 2008 and 2009, as follows:

Data gathered from table used to answer problem below:

1) Inventory growth rate = COGS/average inventory= 38.9/6.8= 5.72

average inventory = opening inventory + Closing inventory/2 = 4.9+8.7/2 = 6.8

2) Sales growth = CY sales - Py sales/py sales *100 = 38.9 - 29/29 * 100 = 34.1%

3) Net Working capital = Current liabilties - current assets = 6.7 - 22.2 = (15.5)

4) Days working capital = Avg working capital/sales revenue * 365 = 15.5/86.3*365 = 65.5 days

5) DIO= average inventory/COGS*365 = 6.8/38.9*365= 63.8 days

6) DSO= avg account recievable/sales*365 = 14.8 days

7) DPO= avg account payable/cogs * 365 = 2.075/38.9 * 365 = 19.4 days

8) CCC = DSO+DIO-DPO= 14.8+63.8-19.4= 59.2

Using the supporting data, provide an analysis of the current situation at SG. Identify the key symptoms and provide clear problem statements to identify the root causes that result in the symptoms and poor performance. Please use the course strategic framework tools, concepts, and Operations Rules for your analysis.

For problems 1 and 2, assume an activity coefficient of 1 for all substances and no effect of ionic strength. Eliminate terms in quadratic solutions for [H+] only if the weak acid is dissociated < 5%. Reported pKa values can vary depending on the conditions under which they were measured; therefore, in solving the following problems use the pKa values given with the problems.

1. a. What mM concentration of HBr gives a pH of 1.3?

What is the pH of 10 mM NaOH?

At equilibrium 0.1 M nitrous acid (HNO2) produces 7.4 mM NO2-. Calculate the pKa of HNO2.

b. What is the pH of 0.5 M benzoic acid? Benzoic acid Ka = 6.46 x 10-5 M

c. What is the pH of 45 mM H3PO4?

For c-f: Phosphoric acid (H3PO4) is a triprotic acid; pKa1 = 2.12, pKa2 = 7.21, pKa3 = 12.32

Acetic acid pKa = 4.75

d. What is the ratio of H2PO4- to H3PO4 at a pH of 3?

e. If 2 volumes of 18 mM KOH are mixed with 1 volume of 22.5 mM H3PO4, what will be the pH of the final mixture?

f. If 15 μmoles of acetic acid is generated in a 1.0 ml enzymatic reaction buffered by 50 mM Na-phosphate (pH 7.0), what will be the final pH of the reaction mixture?

Would the change in pH be smaller or larger if the reaction were buffered by 50 mM Na phosphate (pH 6.0)? Explain you answer; no calculations required.

2. a. Parietal cells control the concentration of HCl in the stomach by secreting H+ and Cl-. While fasting, they maintain stomach pH at 3.0. After a meal, they decrease stomach pH to 1.4. What is the fold-change in [H+] from fasting to after a meal?

b. For every H+ ion secreted into the stomach, parietal cells also secrete a HCO3- ion into blood plasma. HCO3- plays an important role in maintaining the pH of blood plasma (see textbook page 45 for equations). Patients with achlorhydria have impaired HCl secretion and thus have a loss of HCO3- in the blood. What will be the blood pH of a achlorhydria patient with half the normal concentration of HCO3- in the blood? Assume a constant CO2(d) of 1.2 mM and a normal HCO3- of 24 mM.

c. The pH of the stomach can influence the ionization of drugs such as Aspirin (aka acetylsalicylic acid or HAsp). Given that at equilibrium the pH of a 0.1 M Aspirin is 2.24, what is the pKa of Aspirin?

d. Using the pKa from c., what is the ratio of Asp- to HAsp in the stomach of the patient after a meal?

Would the ratio of Asp to HAsp increase, decrease or stay the same if the patient had fasted?

Siegel Company manufactures a product that is available in both a deluxe model and a regular model. The company has manufactured the regular model for years. The deluxe model was introduced several years ago to tap a new segment of the market. Since introduction of the deluxe model, the company’s profits have steadily declined and management has become increasingly concerned about the accuracy of its costing system. Sales of the deluxe model have been increasing rapidly.

Manufacturing overhead is assigned to products on the basis of direct labor-hours. For the current year, the company has estimated that it will incur $6,758,325 in manufacturing overhead cost and produce 20,000 units of the deluxe model and 124,000 units of the regular model. The deluxe model requires 1.0 hours of direct labor time per unit, and the regular model requires 0.5 hour. Material and labor costs per unit are as follows:

    Model
    Deluxe   Regular
Direct materials   $   150      $   116     
Direct labor   $   18      $   10     

Required:

1-a. Using direct labor-hours as the base for assigning manufacturing overhead cost to products, compute the predetermined overhead rate.

1-b. Using the predetermined overhead rate computed in 1-a above and other data from the problem, determine the unit product cost of each model.

2. Management is considering using activity-based absorption costing to apply manufacturing overhead cost to products. The activity-based system would have the following four activity cost pools:

Activity Cost Pool   Activity Measure   Estimated Overhead Cost
Purchasing   Purchase orders issued   $   238,650
Processing   Machine-hours      4,800,000
Scrap/rework   Scrap/rework orders issued      585,675
Shipping   Number of shipments      1,134,000
       $   6,758,325

   
Expected Activity

Activity Measure   Deluxe   Regular   Total
Purchase orders issued   430   860   1,290
Machine-hours   19,200   28,800   48,000
Scrap/rework orders issued   475   380   855
Number of shipments   5,040   7,560   12,600

Determine the predetermined overhead rate for each of the four activity cost pools.

3. Using the predetermined overhead rates you computed in part (2), do the following:

a. Compute the total amount of manufacturing overhead cost that would be applied to each model using the activity-based absorption costing system. After these totals have been computed, determine the amount of manufacturing overhead cost per unit of each model.

b. Compute the unit product cost of each model (direct materials, direct labor, and manufacturing overhead).

Siegel Company manufactures a product that is available in both a deluxe model and a regular model. The company has manufactured the regular model for years. The deluxe model was introduced several years ago to tap a new segment of the market. Since introduction of the deluxe model, the company’s profits have steadily declined and management has become increasingly concerned about the accuracy of its costing system. Sales of the deluxe model have been increasing rapidly.

Manufacturing overhead is assigned to products on the basis of direct labor-hours. For the current year, the company has estimated that it will incur $6,758,325 in manufacturing overhead cost and produce 20,000 units of the deluxe model and 124,000 units of the regular model. The deluxe model requires 1.0 hours of direct labor time per unit, and the regular model requires 0.5 hour. Material and labor costs per unit are as follows:

    Model
    Deluxe   Regular
Direct materials   $   150      $   116     
Direct labor   $   18      $   10     

Required:

1-a. Using direct labor-hours as the base for assigning manufacturing overhead cost to products, compute the predetermined overhead rate.

1-b. Using the predetermined overhead rate computed in 1-a above and other data from the problem, determine the unit product cost of each model.

2. Management is considering using activity-based absorption costing to apply manufacturing overhead cost to products. The activity-based system would have the following four activity cost pools:

Activity Cost Pool   Activity Measure   Estimated Overhead Cost
Purchasing   Purchase orders issued   $   238,650
Processing   Machine-hours      4,800,000
Scrap/rework   Scrap/rework orders issued      585,675
Shipping   Number of shipments      1,134,000
       $   6,758,325

   
Expected Activity

Activity Measure   Deluxe   Regular   Total
Purchase orders issued   430   860   1,290
Machine-hours   19,200   28,800   48,000
Scrap/rework orders issued   475   380   855
Number of shipments   5,040   7,560   12,600

Determine the predetermined overhead rate for each of the four activity cost pools.

3. Using the predetermined overhead rates you computed in part (2), do the following:

a. Compute the total amount of manufacturing overhead cost that would be applied to each model using the activity-based absorption costing system. After these totals have been computed, determine the amount of manufacturing overhead cost per unit of each model.

b. Compute the unit product cost of each model (direct materials, direct labor, and manufacturing overhead).

Siegel Company manufactures a product that is available in both a deluxe model and a regular model. The company has manufactured the regular model for years. The deluxe model was introduced several years ago to tap a new segment of the market. Since introduction of the deluxe model, the company’s profits have steadily declined and management has become increasingly concerned about the accuracy of its costing system. Sales of the deluxe model have been increasing rapidly.

Manufacturing overhead is assigned to products on the basis of direct labor-hours. For the current year, the company has estimated that it will incur $6,758,325 in manufacturing overhead cost and produce 20,000 units of the deluxe model and 124,000 units of the regular model. The deluxe model requires 1.0 hours of direct labor time per unit, and the regular model requires 0.5 hour. Material and labor costs per unit are as follows:

    Model
    Deluxe   Regular
Direct materials   $   150      $   116     
Direct labor   $   18      $   10     

Required:

1-a. Using direct labor-hours as the base for assigning manufacturing overhead cost to products, compute the predetermined overhead rate.

1-b. Using the predetermined overhead rate computed in 1-a above and other data from the problem, determine the unit product cost of each model.

2. Management is considering using activity-based absorption costing to apply manufacturing overhead cost to products. The activity-based system would have the following four activity cost pools:

Activity Cost Pool   Activity Measure   Estimated Overhead Cost
Purchasing   Purchase orders issued   $   238,650
Processing   Machine-hours      4,800,000
Scrap/rework   Scrap/rework orders issued      585,675
Shipping   Number of shipments      1,134,000
       $   6,758,325

   
Expected Activity

Activity Measure   Deluxe   Regular   Total
Purchase orders issued   430   860   1,290
Machine-hours   19,200   28,800   48,000
Scrap/rework orders issued   475   380   855
Number of shipments   5,040   7,560   12,600

Determine the predetermined overhead rate for each of the four activity cost pools.

3. Using the predetermined overhead rates you computed in part (2), do the following:

a. Compute the total amount of manufacturing overhead cost that would be applied to each model using the activity-based absorption costing system. After these totals have been computed, determine the amount of manufacturing overhead cost per unit of each model.

b. Compute the unit product cost of each model (direct materials, direct labor, and manufacturing overhead).

Siegel Company manufactures a product that is available in both a deluxe model and a regular model. The company has manufactured the regular model for years. The deluxe model was introduced several years ago to tap a new segment of the market. Since introduction of the deluxe model, the company’s profits have steadily declined and management has become increasingly concerned about the accuracy of its costing system. Sales of the deluxe model have been increasing rapidly.

Manufacturing overhead is assigned to products on the basis of direct labor-hours. For the current year, the company has estimated that it will incur $6,758,325 in manufacturing overhead cost and produce 20,000 units of the deluxe model and 124,000 units of the regular model. The deluxe model requires 1.0 hours of direct labor time per unit, and the regular model requires 0.5 hour. Material and labor costs per unit are as follows:

    Model
    Deluxe   Regular
Direct materials   $   150      $   116     
Direct labor   $   18      $   10     

Required:

1-a. Using direct labor-hours as the base for assigning manufacturing overhead cost to products, compute the predetermined overhead rate.

1-b. Using the predetermined overhead rate computed in 1-a above and other data from the problem, determine the unit product cost of each model.

2. Management is considering using activity-based absorption costing to apply manufacturing overhead cost to products. The activity-based system would have the following four activity cost pools:

Activity Cost Pool   Activity Measure   Estimated Overhead Cost
Purchasing   Purchase orders issued   $   238,650
Processing   Machine-hours      4,800,000
Scrap/rework   Scrap/rework orders issued      585,675
Shipping   Number of shipments      1,134,000
       $   6,758,325

   
Expected Activity

Activity Measure   Deluxe   Regular   Total
Purchase orders issued   430   860   1,290
Machine-hours   19,200   28,800   48,000
Scrap/rework orders issued   475   380   855
Number of shipments   5,040   7,560   12,600

Determine the predetermined overhead rate for each of the four activity cost pools.

3. Using the predetermined overhead rates you computed in part (2), do the following:

a. Compute the total amount of manufacturing overhead cost that would be applied to each model using the activity-based absorption costing system. After these totals have been computed, determine the amount of manufacturing overhead cost per unit of each model.

b. Compute the unit product cost of each model (direct materials, direct labor, and manufacturing overhead).

Q. You have just been hired as a financial analyst for Lydex Company, a manufacturer of safety helmets. Your boss has asked you to perform a comprehensive analysis of the company’s financial statements, including comparing Lydex’s performance to its major competitors. The company’s financial statements for the last two years are as follows:

To begin your assignment you gather the following financial data and ratios that are typical of companies in Lydex Company’s industry:

2. You decide next to assess the company’s stock market performance. Assume that Lydex’s stock price at the end of this year is $76 per share and that at the end of last year it was $44. For both this year and last year, compute: (Round your "Percentage" answers to 1 decimal place and other intermediate and final answers to 2 decimal places.)

a. The earnings per share.

b. The dividend yield ratio.

c. The dividend payout ratio.

d. The price-earnings ratio.

e. The book value per share of common stock.