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A" A# A% A& A' Af Aj A A B. B2 B B B C C Cq Cr C C C C DK F  F8 F F F F F F F F F G\ G] G^ G_ G G G G G G G G H@ HA HB I I I I J J8 J9 J: J; J J J J K! K" K# K$ K% K& K' K( K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K L L L L L L L  L  L  L  L L L L" L/ L0 L1 L; L< LE LF LG LO LP --`-- k-/-0'-<-8'-4'-0#'-,''-(+$-$.b- 2>c-5-9x-=S-@,-B-F-I- UNIT 1 : LEARNING PROBLEM-SOLVING TECHNIQUES EVEN QUESTIONS 2-40 2. Many times when you check a result, it is someone elses work you are checking. Mike took his car to Ace Auto Repair for repairs. When he took his car in, Ace gave him an itemized estimate of the repair cost. The estimate is shown below and totals $172.37. After completing the work, Ace sent Mike a bill for the repairs. The total on the bill is $202.37. Make a rough estimate of each of the totals in the estimate and the bill to see if Ace made an error. Add the estimate and the bill. Compare your total on the estimate and the bill to Aces. How much should Mike pay Ace? Estimate for car repair PARTS: Rebuilt master cylinder $35.75 Brake linings $10.98 Brake drum $27.80 Brake disk $17.84 Total parts $92.37 Labor 4 hours at $20.00 / hr $80.00 Total estimate $172.37 Bill for car repair PARTS: Rebuilt master cylinder $35.75 Brake linings $10.98 Brake drum $27.80 Brake disk $17.84 Total parts $122.37 Labor 4 hours at $20.00 / hr $80.00 Total bill  $202.37 What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 4. You are the office manager for Dr. Williams. The increasing cost of making photocopies has Dr. Williams concerned. She wants you to look at an alternative to the present arrangement. The office now leases a copy machine for $110 per month and $0.025 per copy. You find that you can buy a copier with a 3-year payment plan of $125 per month and the cost per copy will run $0.015. a. If the office expects to run 100,000 copies per year, which is the better plan? b. How much money will the better plan save Dr. Williams in one year over the other plan? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 6. Pete is figuring his income tax from his farm income. He needs to calculate the depreciation on his equipment. The formula he uses is Original Cost - Salvage Value Annual Depreciation = Expected Life Salvage value is the value of the equipment at the end of its expected life. This is the equipment he is depreciating: Equipment Original cost  Salvage value Expected life Age Tractor $36,000 $1,500 10 yr 3 yr 16 - ft swather $14,000 $500 6 yr 3 yr Grinder / mixer $4,500 $500 7 yr 1 yr a. What is the depreciation on each piece of equipent? b. What is the total depreciation on Petes equipment? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 8. You are harvesting your cherry orchard. You estimate there are 200 lugs of cherries. (A lug is a shallow box used to pack and ship fruit.) Ten pickers can finish in 8 days. The cherries sell for $20.00 per lug. You have agreed to pay each picker $3.35 per hour. They work 8 hours per day. What income will remain from the sale of cherries after paying the wages to the pickers? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 10. You have a 300-acre range that produces 2000 lb/acre of forage during the growing season. (Forage is food for grazing animals.) To protect the range, you want no more than half the forage eaten. Your cows each eat 30 pounds of forage per day. How many days should you permit your herd of 50 cattle to graze on the range during the growing season? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 12. You own a cosmetics store in Rose Bud Mall. The store now carries two brands of perfume. You want to drop the less profitable brand to make room for a new line of merchandise. During the last month you sold 7 bottles of Charlene and 10 bottles of Lizabeth. Charlene Lizabeth Cost per bottle $20.00 $10.00 Markup 100% 100% Shelf space 13 in2 18 in2 Using the data in the table, calculate which perfume makes the most money per square inch of shelf space. What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 14. You are a bookkeeper for Mountain Instruments. They are considering building a small plant in Westover, a town with a population of about 40,000. The total start-up cost for the plant is $350,000. The monthly expenses would be $5000 for utilities, $48,000 for payroll, and $300 for property taxes. The plant has a production capacity of 400,000 pieces per year. Each piece has a market value of $3.00. What gross profit or loss can the company expect the first year? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 16. Carolyn is a market analyst for Birdwing Frozen Foods. She is making a market projection of their frozen corn for next year in the four areas that are her responsibility. The total number of 12-ounce packages sold in the four areas is given in the following table. Birdwing has a 20% share of the market in all four areas. The price per package is $0.79. How much can Birdwing expect in gross sales from their frozen corn next year? Projected total sales of frozen corn for next year East 20,000,000 Midwest 40,000,000 West 10,000,000 South 30,000,000 What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 18. Pam is the manager of Bride n Gown, a bridal shop. The average wholesale price of the gowns sold last year was $148. The markup is 40%. Pams shop sold 567 gowns last year. The wholesale price is expected to increase by 5% this year. Pam plans to increase the gowns sold this year by 8% over last year. What is the projected gross sales amount for bridal gowns at Pams shop this year? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 20. You are a buyer for Hamlet Furniture. The company is introducing a new line of bookshelves. You have decided to offer two models of shelves, one in oak and the other in pine. The shelves require 48 board feet of lumber. The labor cost is $8.00 per hour. The labor time required for the pine is 3.6 hours. The oak requires about 10% more labor time because it is a hardwood. The material cost is $0.70 per board foot for pine and $1.10 per board foot for oak. If the initial run is 70 shelves in pine and 40 in oak, what is the production cost for these shelves? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 22. John is developing an antismoking campaign to use in the area high schools. As a part of the campaign, he wants to demonstrate the higher death rate among smokers. He uses the formula %Elevation = Smokers death rate - Nonsmokers death rate x 100 Nonsmokers death rate Causes of death Smokers death rate Nonsmokers death rate Heart disease 1380 860 Lung cancer 325 22 All others 1659 1446 What is the percent elevation for each ot the three causes of death listed? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 24. You are a nurse specializing in obstetrics. One of your patients is in the ninth month of her pregnancy and has gained 28 pounds. The baby weighs 8 pounds, the placenta weighs 1 pound, the amniotic fluid weighs 4 pounds, and 10% of the weight gain is due to temporary swelling in the breasts and womb. How much weight will the patient need to lose after delivery to get back to her normal weight? What are you looking for? b What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 26. Your take home pay is $950 each month. Your estimated expenses for November are given in the following table. Estimated expenses for November Car payment $150 Church donation $100 Entertainment $35 Gas for car $60 Groceries $85 Meals out $75 Rent $200 Savings $100 Telephone $20 Utility bills $75 Do you have enough money to pay your estimated expenses? What care you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 28. Mark and Marie are shopping for carpeting for their living room that measures 14 feet by 16 feet. They are trying to decide between two choices: 1) an area rug that is 12 feet by 15 feet and sells for $595, and 2) wall-to-wall carpet in a similar color and design that sells for $26.50 per square yard installed. (Note: Carpet comes in rolls that are 12 feet wide.) Which floor covering would cost less? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 30. You are a cook at a summer camp. The camp is open for a 16-week camping season. The average number of campers and staff is 240. You order 290 pounds of hamburger each week at a contracted price of $0.95 per pound. Your menu uses hamburger four times during the week. a. How much hamburger meat are you allowing for each serving? b. What is the cost per serving? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 32. Tracy is a programmer at Conroy Engineering. She has written a program to convert inches to centimeters. She tried her program with a series of data and got the following table. She asks you to check the results of the program. Is Tracys program correct? Computer program generated conversions from inches to centimeters Inches Centimeters 0 0.0 1 2.7 2 5.4 5 13.5 10 27.0 Use the formula, Centimeters = Inches x 2.54 centimeters per inch What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 34. You are a control technician for Wola Cola Botling Company. Your machine is set to fill a 2-liter bottle in 0.5 second and move the next bottle into place in 0.1 second. How many 2-liter bottles will your machine fill in one hour? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)?  Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 36. You are constructing a column assembly in a building. A 1/2-inch thick plate secures the top and bottom of the column. The bottom plate rests on an 8 footing. A girder with a thickness of 81/2 rests on the top plate. The total height must be 953/4 tall, as shown below. To what length must the column be trimmed? Place picture, page 35, here. What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 38. You are the parts manager for Quality Manufactured Homes, a mobile home manufacturer. Each week you must place an order with the purchasing agent for the plumbing parts needed for the following week. Next week the factory is going to produce 32 Dakotas, 19 Trentons, 40 Belaires, and 2 Conastogas. The plumbing parts needed by each of these models are given in the following table. How many of each part should your order? Y-joints T-joints Feet of ABS pipe Dakota 2 1 30 Trenton 1 0 25 Belaire 2 2 33 Conastoga 2 0 12 What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 40. You are a service technician with Weather Right Air Conditioning. You are sent to repair an air conditioner at an address 20 miles from the company office. You spend 2 hours replacing the compressor. The wholesale price of the compressor is $160. The retail markup is 33%. There is also a 5% sales tax to be added to the service invoice below. What is the total bill for the repair? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct):  DSET|(H@-7h9 *6*7h9DSET(H2p-L9896*7$9DSETR -h-T-P-\   -Unit 1 Even Questions