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Home My WebLink AboutLA210520 - 17089 Dysart Pl App & FormsRESIDENTIAL BUILDING PERMIT APPLICATION CITY OF LAKEVILLE BUILDING INSPECTIONS DEPARTMENT 20195 HOLYOKE AVENUE LAKEVILLE, MN 55044 952-985-4440 Office Use Only __________________ Permit Number ___________________ Received By ___________________ Date Received ___________________ Fee Total SITE ADDRESS: MAILING ADDRESS: CITY: STATE: ZIP: JOB DESCRIPTION:__________________________________ MASTER PLAN: (Number or Address)____________________ LIST OTHER STRUCTURES ON PROPERTY:_______________________________________________________________ ESTIMATED VALUATION: PROPOSED START DATE: END DATE: (New Residential Only): LEGAL DESCRIPTION: LOT: _____ BLOCK: _____ SUBDIVISION: APPLICANT IS: RESIDENT OWNER CONTRACTOR EMAIL NEW MODEL HOME: YES NO (IF YES – ADMINISTRATIVE PERMIT REQUIRED) PLEASE FILL OUT THE FOLLOWING COMPLETELY (All Contractor information must be as listed on State License) RESIDENT OWNER NAME:_______________________________________________________________________________ HOME PHONE #:_____________________________ CELL PHONE:___________________________ GENERAL CONTRACTOR Homeowner Contractor CONTRACTOR:_______________________________________________________________________ LICENSE #:BC______________ LEAD CERTIFICATE#_______________ (PRE 1978 STRUCTURE) OFFICE PHONE #:_____________________________ CELL PHONE:___________________________ ADDRESS:____________________________ CITY:________________ ST:______ ZIP:____________ PLUMBING WORK Homeowner Contractor CONTRACTOR:__________________________________________LICENSE #: PM______________ OFFICE PHONE #:_____________________________ CELL PHONE:___________________________ ADDRESS:____________________________ CITY:________________ ST:______ ZIP:____________ MECHANICAL WORK Homeowner Contractor CONTRACTOR:________________________________________ _______________________________ _____________________________ CELL PHONE:___________________________ ADDRESS:____________________________ CITY:________________ ST:______ ZIP:____________ BOND #:_______________________________________ EXPIRATION DATE____________________ SEWER/WATER CONTRACTOR New Construction Only NAME:________________________________________________ ______________________________ _____________________________ CELL PHONE:______________________________ BOND #:_______________________________________ EXPIRATION DATE____________________ NAME OF APPLICANT (Please Print)DATE RESIDENTIAL BUILDING PERMIT APPLICATION PAGE 2 OFFICE USE ONLY BUILDING PERMIT TYPE REQUIRED INSPECTIONS SINGLE FAMILY DWELLING BUILDING DUPLEX AS BUILT TOWNHOUSE UNITS BUILDING FINAL DETACHED TOWN HOUSE UNIT CONDO REROOF RESIDE RES ADDN/REPAIR/RMDL DECK PORCH GARAGES LOWER LEVEL FINISH ADDITION FOUNDATION ONLY MISCELLANEOUS DEMO APPROVED BY: BUILDING INSPECTOR: Date: PLUMBING/MECHANICAL INSPECTOR: Date: COMMENTS: CITY BUILDING VALUATION: $ BUILDING PERMIT FEES $PERMIT FEE $PLAN CHECK $SURCHARGE $METRO SAC $CITY WATER HOOKUP UNIT $CITY SEWER HOOKUP UNIT $LANDSCAPE ESCROW $TREE ESCROW $MISC ESCROW $PLUMBING $MECHANICAL $SEWER WATER WATER METER PRESSURE REDUCING VALVE $OTHER $TOTAL METER SIZE PRESSURE REDUCING VALVE SEWER/WATER SEWER/WATER FINAL STREET DRAINTILE BUILDING INFORMATION TYPE OF CONSTRUCTION ZONING CODE EDITION FIRE SUPPRESSION SYSTEM OCCUPANCY GROUP MECHANICAL AIR TEST FINAL ROUGH-IN PLUMBING FINAL ROUGH-IN INSULATION LATH DECK FOOTING FIREPLACE FOOTING FOUNDATION FRAMING PORCH FRAMING PORCH FOOTING POURED WALL SITE LOWER LEVEL FINAL OTHER DECK FRAMING LOWER LEVEL FRAMING LANDSCAPING DECK FINAL $ $ ACCESSORY BUILDING EGRESS WINDOW UNDERGROUND Date Certificate Posted X Passive (No Fan ) Active (With fan and monometer or other system monitoring device) Location (or future location) of Fan: Other Please Describe Here R-10 X R-10 X X R-20 X R-20 X R-20 X R-49 X R-49 X R-30 X R-30 X Not applicable, all ducts located in conditioned space R8 X Not required per mech. code Passive Powered Interlocked with exhaust device. Describe: Input in BTUS:40,000 Capacity in Gallons:Other, describe: AFUE or HSPF%92% Cfm's " round duct OR " metal duct X Not required per mech. code Passive Low: Other, describe: X Low: Location of fan(s), describe: Cfm's 0 " round duct OR 0 " metal duct Output in Tons:2 Ton50 Total ventilation (intermittent + continuous) rate in cfms: Balanced Ventilation capacity in cfms: High: High: MECHANICAL VENTILATION SYSTEM 101 CFM 49 CFM Capacity continuous ventilation rate in cfms: PROE50 BA13NA024 Model Heating System Nat Gas Bryant Interior Interior Location of duct or system: Heating or Cooling Ducts Outside Conditioned Spaces Electric Make-up Air Select a Type Rheem Domestic Water Heater MECHANICAL SYSTEMS Rating or Size Efficiency 1390%-93%SEER/EER 912SD36040E14 Manufacturer Bryant Nat GasTotal R-Value of all Types of InsulationType: Check All That Apply Mineral Fiberboard Insulation Location Foam, Closed Cell0.32 Describe other insulated areas Fiberglass, BlownFiberglass, Batts3ft Vertical Foundation Wall R-value Average U-Factor (excludes skylights and one door) U: Aero SealedDuct system air tightness: Semi TightBuilding envelope air tightness: Rim Joist (1st Floor) Mech Room100% = 126 CFM Heat Recover Ventilator (HRV) Capacity in cfms: Energy Recover Ventilator (ERV) Capacity in cfms: 32,061 Heating Gain Cooling Load 50%= 49cfm 80%=101cfm Select Type Describe any additional or combined heating or cooling systems if installed: (e.g. two furnaces or air source heat pump with gas back-up furnace): 17,606Residential Load Calculation Heating Loss Combustion Air Select a Type Location of duct or system: 22,786 Per R401.3 Certificate. A building certificate shall be posted on or in the electrical distribution panel. New Construction Energy Code Compliance Certificate Name of Residential Contractor DR Horton MN License Number Lakeville17089 Dysart Place - 2645 (Interior Unit) City Mailing Address of the Dwelling or Dwelling Unit THERMAL ENVELOPE Foam Open Cell Wall Below Entire Slab Rigid, Extruded Polystyrene Ceiling, flat Attic Fuel Type Solar Heat Gain Coefficient (SHGC): Windows & Doors Ceiling, vaulted Bay Windows or cantilevered areas Floors over unconditioned area Rim Joist (2nd Floor+) 0.32 Appliances Rigid, Isocynurate Perimeter of Slab on Grade RADON CONTROL SYSTEM R10 ExteriorNon or Not Applicable Cooling System Builders Associaton of Minnesota version 101014 Fairmont 2615 Interior Unit HVAC Load Calculations for DR Horton Prepared By: Kris Long Silver Tree Plumbing & Heating 1335 Mendota Heights Rd Mendota Heights, MN, 55120 651-900-7054 Tuesday, November 2, 2021 Rhvac is an ACCA approved Manual J, D and S computer program. Calculations are performed per ACCA Manual J 8th Edition, Version 2, and ACCA Manual D. Rhvac - Residential & Light Commercial HVAC Loads Elite Software Development, Inc. Silver Tree Plumbing & Heating Fairmont 2615 Interior Unit Eagan, MN 55121 Page 2 Project Report General Project Information Project Title:Fairmont 2615 Interior Unit Designed By:Jake Ryan Project Date:11/2/2021 Project Comment: Client Name:DR Horton Company Name:Silver Tree Plumbing & Heating Company Representative:Kris Long Company Address:1335 Mendota Heights Rd Company City:Mendota Heights, MN, 55120 Company Phone:651-900-7054 Company E-Mail Address:krisl@silvertreepandh.com Design Data Reference City:Minneapolis, Minnesota Building Orientation:Front door faces East Daily Temperature Range:Medium Latitude:44 Degrees Elevation:834 ft. Altitude Factor:0.970 Outdoor Outdoor Outdoor Indoor Indoor Grains Dry Bulb Wet Bulb Rel.Hum Rel.Hum Dry Bulb Difference Winter:-15 -15.33 n/a 30%72 33.90 Summer:88 73 50%50%72 42 Check Figures Total Building Supply CFM:798 CFM Per Square ft.:0.421 Square ft. of Room Area:1,894 Square ft. Per Ton:997 Volume (ft³):15,938 Building Loads Total Heating Required Including Ventilation Air:32,061 Btuh 32.061 MBH Total Sensible Gain:17,606 Btuh 77 % Total Latent Gain:5,180 Btuh 23 % Total Cooling Required Including Ventilation Air:22,786 Btuh 1.90 Tons (Based On Sensible + Latent) Notes Rhvac is an ACCA approved Manual J, D and S computer program. Calculations are performed per ACCA Manual J 8th Edition, Version 2, and ACCA Manual D. All computed results are estimates as building use and weather may vary. Be sure to select a unit that meets both sensible and latent loads according to the manufacturer's performance data at your design conditions. F:\ ...\Fairmont 2615 Interior Unit - Heat Calc.rh9 Tuesday, November 2, 2021, 10:50 AM Site address Date 11/2/2021 Contractor Silver Tree Plumbing & Heating, LLC By Jake Ryan Section A Square feet (Conditioned area inc. 1894 TOTAL VENTILATION 98 basement – finished or unfinished)CONTINUOUS VENTILATION 49 Number of bedrooms 3 # of BEDROOMS 1 2 3 4 5 6 Total/ Total/ Total/ Total/ Total/ Total/ continuous continuous continuous continuous continuous continuous 1000-1500 60/40 75/40 90/45 105/53 120/60 135/68 1501-2000 70/40 85/43 100/50 115/58 130/65 145/73 2001-2500 80/40 95/48 110/55 125/63 140/70 155/78 2501-3000 90/45 105/53 120/60 135/68 150/75 165/83 3001-3500 100/50 115/58 130/65 145/73 160/80 175/88 3501-4000 110/55 125/63 140/70 155/78 170/85 185/93 4001-4500 120/60 135/68 150/75 165/83 180/90 195/98 4501-5000 130/65 145/73 160/80 175/88 190/95 205/103 5001-5500 140/70 155/78 170/85 185/93 200/100 215/108 5501-6000 150/75 165/;83 180/90 195/98 210/105 225/113 Equation R403.5.2 2015 Mn Energy Code (0.02 x conditioned space) + (15 X (# of bedrooms + 1))= TOTAL VENTILATION RATE Sq Ft 1894 0.02 37.88 Bedrooms 3 15 45 Plus 1 bedroom 15 TOTAL VENT 97.88 CFM Section B Low cfm:High cfm: 50 101 Section D Control Set at 40%50 CFM HIGH set at 80%101 CFM (BALANCED) Table R403.5.2 2015 Minnesota Energy Code Total and Continuous Ventilation Rates (in cfm) Conditioned space (in sq. ft.) 2015 Mechanical & Energy Code – Ventilation, Makeup, and Combustion Air Calculations Ventilation Method Ventilation Quantity (Determine quantity by using Table R403.5.2 or Equation R403.5..2, 2015 Minnesota Energy Code) 2615 Fairmont (Interior Unit) Balanced, HRV (Heat Recovery Ventilator) or ERV (Energy Recovery Ventilator) – cfm of unit in low must not exceed continuous ventilation rating by more than 100%. Ventilation Controls (Describe operation and control of the continuous ventilation) Page 1 of 5 One or multiple power vent or direct vent appliances or no combustion appliances One or multiple fan- assisted appliances and power vent or direct vent appliances One atmospherically vented gas or oil appliance or one solid fuel appliance Multiple atmospherically vented gas or oil appliances or solid fuel appliances Column A Column B Column C Column D 1.Enter the Appropriate Column to Estimate House Infiltration a) pressure factor (cfm/sf) 0.15 0.09 0.06 0.03 b) conditioned floor area (sf) (including unfinished basements) 1894 Estimated House Infiltration (cfm): [1a x 1b]284.1 2. Exhaust Capacity ERV/HRV=0 a) clothes dryer (cfm)135 135 135 135 b) 80% of largest exhaust rating (cfm); (not applicable if recirculating system or if powered makeup air is electrically interlocked and match to exhaust) 64 c) 80% of next largest exhaust rating (cfm); NA (not applicable if recirculating system or if powered makeup air is electrically interlocked and matched to exhaust) Total Exhaust Capacity (cfm);199 [2a + 2b +2c] 3. Makeup Air Quantity (cfm) a) total exhaust capacity (from above)199 b) estimated house infiltration (from above)284.1 Makeup Air Quantity (cfm); [3a – 3b] (if value is negative, no makeup air is needed) 4. For makeup Air Opening Sizing, refer to Table 501.4.2 Not Required A. Use this column if there are other than fan-assisted or atmospherically vented gas or oil appliance or if there are no combustion appliances. (Power vent and direct vent appliances may be used.) B. Use this column if there is one fan-assisted appliance per venting system. (Appliances other than atmospherically vented appliances may also be included.) C. Use this column if there is one atmospherically vented (other than fan-assisted) gas or oil appliance per venting system or one solid fuel appliance. D. Use this column if there are multiple atmospherically vented gas or oil appliances using a common vent or if there are atmospherically vented gas or oil appliances and solid fuel appliances. Directions - In order to determine the makeup air for ventilation, Table 501.4.1 must be filled out (see below). For most new installations, column A will be appropriate, however, if kitchen hoods exceed 300 cfm, atmospherically vented appliances or solid fuel appliances are installed, use the appropriate column. Please note, if the makeup air quantity is negative, no additional makeup air will be required for ventilation, if the value is positive refer to Table 501.4.2 and size the opening. Transfer the cfm, size of opening and type (round, rectangular, flex or rigid) to the last line of section D. The ventilation make-up air supply must communicate with the exhaust appliances. Table 501.4.1, 2015 Minnesota Mechanical Code PROCEDURE TO DETERMINE MAKEUP AIR QUANITY FOR EXHAUST APPLIANCES IN DWELLING UNITS (Additional makeup air will be required for combustion appliances, see KAIR method for calculations) Be advised: 2015 Minnesota Mechanical Code, Section 505.2, Installation of exhaust hood systems capable of exhausting in excess of 400 cfm shall be provide with makeup air at a rate approximately equal to the exhaust air rate. Such makeup air systems shall be equipped with a means of closure and shall be automatically controlled to start and operate simultaneously with the exhaust system. -85.1 Page 2 of 5 Section E Passive (determined from calculations from 2015 Minnesota Mechanical Code, Table 501.4.1) Powered (determined from calculations from 2015 Minnesota Mechanical Code, Table 501.4.1) Interlocked with exhaust device (determined from calculations from 2015 Minnesota Mechanical Code, Table 501.4.1) Other, describe: Location of duct or system ventilation make-up air: (Determined from make-up air opening table, Table 501.4.2.) Not Required -85.1 Makeup Air Opening Table for New and Existing Dwelling Table 501.4.2, 2015 Minnesota Mechanical Code One or multiple power vent, direct vent appliances, or no combustion appliances One or multiple fan- assisted appliances and power vent or direct vent appliances One atmospherically vented gas or oil appliance or one solid fuel appliance Multiple atmospherically vented gas or oil appliances or solid fuel appliances Column A Column B Column C Column D Duct diameter Passive opening 1 – 36 1 – 22 1 – 15 1 – 9 3 Passive opening 37 – 66 23 – 41 16 – 28 10 – 17 4 Passive opening 67 – 109 42 – 66 29 – 46 18 – 28 5 Passive opening 110 - 163 67 – 100 47 – 69 29 – 42 6 Passive opening 164 – 232 101 – 143 70 – 99 43 – 61 7 Passive opening 233 – 317 144 – 195 100 – 135 62 – 83 8 Passive opening w/motorized damper 318 – 419 196 – 258 136 – 179 84 – 110 9 Passive opening w/motorized damper 420 – 539 259 – 332 180 – 230 111 – 142 10 Passive opening w/motorized damper 540 – 679 333 – 419 231 – 290 143 – 179 11 Powered makeup air >679 >419 >290 >179 NA Notes: A. An equivalent length of 100 feet of round smooth metal duct is assumed. Subtract 40 feet for the exterior hood and ten feet for each 90- degree elbow to determine the remaining length of straight duct allowable. B. If flexible duct is used, increase the duct diameter by one inch. Flexible duct shall be stretched with minimal sags. Compressed duct shall not be accepted. C. Barometric dampers are prohibited in passive makeup air openings when any atmospherically vented appliance is installed. D. Powered makeup air shall be electrically interlocked with the largest exhaust system. Sections F X Size and type FLEX= 0 RIGID= 0 Other, describe: Not required per mechanical code (No atmospheric or power vented appliances) Make-up air for COMBUSTION Passive (see IFGC Appendix E, Worksheet E-1) Explanation - If no atmospheric or power vented appliances are installed, check the appropriate box, not required. If a power vented or atmospherically vented appliance installed, use IFGC Appendix E, Worksheet E-1 (see below). Please enter size and type. Combustion air vent supplies must communicate with the appliance or appliances that require the combustion air. Not Required Directions - The Minnesota Fuel Gas Code method to calculate to size of a required combustion air opening, is called the Known Air Infiltration Rate Method (KAIR). For new construction, 4b of step 4 is required to be filled out. The example assumes a typical 3,000 square foot home with a finished basement that has a mechanical room that is 10 feet wide by 12 feet long with an 8 foot ceiling. It also assumes installation of a 70,000 btu, 2 pipe condensing furnace; and a 40,000 Btu, power vented water heater. Make-up air for VENTILATION Size and type (round, rectangular, flex or rigid) Page 3 of 5 Furnace/Boiler: Water Heater: INPUT in BTUHS:0 CAS VOLUME:384 Mech Room Length:8 Mech Room Width:6 Mech Room Height:8 Cubic feet INPUT (BTUH/HOUR)= TRV (ft3)= INPUT (BTUH/HOUR)=0 RVFA (Ft3)=3000 INPUT (BTUH/HOUR)=0 RVNFA (Ft3)=NONE RVFA:3000 RVNFA (Ft3)=0 3000 Ft3 RATIO=384 DIVIDED BY 3000 EQUALS:0.13 RF = 1 minus Ratio Ratio RF=1 MINUS 0.13 EQUALS:0.87 INPUT (BTUH/HOUR)=0 CAOA=0 divided by 3000 EQUALS:0.00 BTUH/HR per in2 MIN CAOA=0.00 X 0.87 0.00 Square Inches CAOD= 1.13 X Square root Minimum CAOA=0.00 inches Step 1: Complete vented combustion appliance information. __ Draft Hood __ Fan Assisted __-Direct Vent XX FURNACE IS SEALED COMBUSTION (for Furnace, Boiler, and/or Water Heater in the Same Space) IFGC Appendix E, Worksheet E-1 Residential Combustion Air Calculation Method Total Btu/hr input of all fan-assisted and power vent appliances Step 4: Determine Required Volume for Combustion Air. 4a. Standard Method Step 2: Calculate the volume of the Combustion Appliance Space (CAS) containing combustion appliances. The CAS includes all spaces connected to one another by code compliant openings. Step 3: Determine Air Changes per Hour (ACH)1 Default ACH values have been incorporated into Table E-1 for use with Method 4b (KAIR Method). If the year of construction or ACH is not known, use method 4a (Standard Method). If CAS Volume (from Step 2) is greater than TRV then no outdoor openings are needed. If CAS Volume (from Step 2) is less than TRV then go to STEP 5. 4b. Known Air Infiltration Rate (KAIR) Method __ Draft Hood (Non- fan assist) __ Fan Assisted & Power Vent __ Direct Vent _X_Electric Total Btu/hr input of all combustion appliances (DO NOT COUNT DIRECT VENT APPLIANCES) Use Standard Method column in Table E-1 to find Total Required Volume (TRV) Step 6: Calculate Reduction Factor (RF). (DO NOT COUNT DIRECT VENT APPLIANCES) Use Fan-Assisted Appliances column in Table E-1 to find Required Volume Fan Assisted (RVFA) Total Btu/hr input of all non-fan-assisted appliances Use Non-Fan-Assisted Appliances column in Table E-1 to find Required Volume Non-Fan-Assisted (RVNFA) Total Required Volume (TRV) = RVFA + RVNFA 1 If desired, ACH can be determined using ASHRAE calculation or blower door test. Follow procedures in Section G304 Minimum CAOA = CAOA multiplied by RF Step 9: Calculate Combustion Air Opening Diameter (CAOD) CAOD = 1.13 multiplied by the square root of Minimum CAOA Step 7: Calculate single outdoor opening as if all combustion air is from outside. Total Btu/hr input of all Combustion Appliances in the same CAS (EXCEPT DIRECT VENT) Combustion Air Opening Area (CAOA): Total Btu/hr divided by 3000 Btu/hr per in2 Step 8: Calculate Minimum CAOA. If CAS Volume (from Step 2) is greater than TRV then no outdoor openings are needed. If CAS Volume (from Step 2) is less than TRV then go to STEP 5. Step 5: Calculate the ratio of available interior volume to the total required volume. Ratio = CAS Volume (from Step 2) divided by TRV (from Step 4a or Step 4b) Page 4 of 5 Input Rating (Btu/hr) 1994 to present Pre-1994 1994 to present Pre-1994 5,000 250 375 188 525 263 10,000 500 750 375 1,050 525 15,000 750 1,125 563 1,575 788 20,000 1,000 1,500 750 2,100 1,050 25,000 1,250 1,875 938 2,625 1,313 30,000 1,500 2,250 1,125 3,150 1,575 35,000 1,750 2,625 1,313 3,675 1,838 40,000 2,000 3,000 1,500 4,200 2,100 45,000 2,250 3,375 1,688 4,725 2,363 50,000 2,500 3,750 1,675 5,250 2,625 55,000 2,750 4,125 2,063 5,775 2,888 60,000 3,000 4,500 2,250 6,300 3,150 65,000 3,250 4,875 2,438 6,825 3,413 70,000 3,500 5,250 2,625 7,350 3,675 75,000 3,750 5,625 2,813 7,875 3,938 80,000 4,000 6,000 3,000 8,400 4,200 85,000 4,250 6,375 3,188 8,925 4,463 90,000 4,500 6,750 3,375 9,450 4,725 95,000 4,750 7,125 3,563 9,975 4,988 100,000 5,000 7,500 3,750 10,500 5,250 105,000 5,250 7,875 3,938 11,025 5,513 110,000 5,500 8,250 4,125 11,550 5,775 115,000 5,750 8.625 4,313 12,075 6,038 120,000 6,000 9,000 4,500 12,600 6,300 125,000 6,250 9,375 4,688 13,125 6,563 130,000 6,500 9,750 4,875 13,650 6,825 135,000 6,750 10,125 5,063 14,175 7,088 140,000 7,000 10,500 5,250 14,700 7,350 145,000 7,250 10,875 5,438 15,225 7,613 150,000 7,500 11,250 5,625 15,750 7,875 155,000 7,750 11,625 5,813 16,275 8,138 160,000 8,000 12,000 6,000 16,800 8,400 165,000 8,250 12,375 6,188 17,325 8,663 170,000 8,500 12,750 6,375 17,850 8,925 175,000 8,750 13,125 6,563 18,375 9,188 180,000 9,000 13,500 6,750 18,900 9,450 185,000 9,250 13,875 6,938 19,425 9,713 190,000 9,500 14,250 7,125 19,950 9,975 195,000 9,750 14,625 7,313 20,475 10,238 200,000 10,000 15,000 7,500 21,000 10,500 IFGC Appendix E, Table E-1 Residential Combustion air (Required Interior Volume Based on Input Rating of Appliance) Standard Method Known Air Infiltration Rate (KAIR) Method (cu ft) Fan Assisted Non-Fan Assisted 1. The 1994 date refers to dwelling constructed under the 1994 Minnesota Energy Code. The default KAIR used in this section of the table is .20 air changes per hour (ACH). 2. This section of the table is to be used for dwelling constructed prior to 1994. The default KAIR used in this section of the table is 0.40 ACH. Although this worksheet, IFGC Appendix E, Worksheet E-1 and the following worksheet, IFGC Appendix E, Table E-1, is referenced in the 2015 Minnesota Fuel Gas Code, these worksheets were not included in the published copy. Page 5 of 5