Inman's domain all domain numerical problems

How much will it cost to prepare these scrambled eggs? Amount to be made: 25 Cost of eggs $0.83 per dozen 2 ounces margarine at $2.29 per pound 2 cups milk at $2.50 per gallon

$0.83/12 x 25 = $1.72 ($2.29/16) x 2 oz = $0.29 ($2.50/16) x 2 cups = $0.31 $1.72 + $0.29 + $0.31= $2.32

You find out that next year's budget will change by the following: 10% increase in labor cost 5% increase in food cost 2% increase in overhead What will the total budget be if the following info is from the current year? Labor costs $100,000 Food cost $100,000 Overhead cost $40,000

$100,000 + $100,000 + $40,000 = $240,000 $100,000 x 10% = $10,000 $100,000 x 5% = $5000 $40,000 x 2% = $800 $10,000 + $5000 + $800 = $15,800 $ 5,800 + $240,000 = $255,800

You find out that next year's budget will change by the following: 10% increase in labor cost 5% increase in food cost 2% increase in overhead What will the total increase in the budget next year? Labor costs $100,000 Food cost $100,000 Overhead cost $40,000

$100,000 x 10% = $10,000 $100,000 x 5% = $5000 $40,000 x 2% = $800 $10,000 + $5000 + $800 = $15,800

Using the following information, determine the selling price of the meal used to determine the break-even point. Fixed costs $100, Variable costs per meal $5, Break-even point 20 meals

$100/20 = $5 $5 + Variable cost ($5) = $10

If you purchase an oven for $10000. It is expected to last for 10 years after which it can be sold for $3000. What is its depreciation cost each year?

$10000 - $3000/10 = $700

How many FTE's can you hire with a weekly budget of $8640 if the salary is $12.00 per hour?

$12.00/hr x 40 = 480 $8640/480 =18

You find out that next year's budget will change by the following: 15% increase in labor cost 10% increase in food cost 5% increase in overhead What will the total budget be if the following info is from the current year? Labor costs $120,000 Food cost $110,000 Overhead cost $45,000

$120,000 + $110,000 + $45,000 = $275,000 $120,000 x 15% = $18,000 $110,000 x 10% = $11,000 $45,000 x 5% = $2250 $18,000 + $11,000 + $2250 = $31250 $31250 + $275,000 = $306,250

How many FTE's can you hire with a weekly budget of $6000 if the salary is $15.00 per hour?

$15.00/hr x 40 = 600 $6000/600 =10

Using the following information, determine the selling price of the meal used to determine the break-even point. Fixed costs $150, Variable costs per meal $5, Break-even point 10 meals

$150/10= $15 $15 + Variable cost ($5) = $20

An 8 lb. roast beef cost $2.79/lb. The edible portion is 65%. What is the AP price f the roast?

$22.32 The question is just asking for AP. *Tricky* 8 lb.* $2.79/lb = $22.32

Your Nutrition Department has 5 FTE and 2 relief Dietitians at $25/hour. How much salary is that per week?

$25.00 x 40 = $1000 x 5= $5000 $25.00 x 16 = $400 x 2= $800 $5000 + $800 = $5800

A food service operates with a 35% food cost. If a menu item has a raw food cost of $1.25, and it takes an employee 45 minutes at $6 an hour to prepare, What is the traditional selling price? First, what is the selling price formula?

$3.58 Selling price = mark up factor x raw food cost 100/35 = 2.85 mark up factor 2.85 x 1.25 = $3.58

You have invested in new hardware and software that will reduce the labor hours needed to complete a task. What is the payback period? Hardware $3500 Software $2400 Staff instruction $1000 Labor hours saved: 6 per week at $20/hour

$3500 + $2400 + $1000 = $6900 6 hrs/week x $ 20/hr = $ 120/week 6900/120 = 57.5 weeks (13 months) (To calculate months from weeks, divide by 4.34)

You have invested in new hardware and software that will reduce the labor hours needed to complete a task. What is the payback period? Hardware $4500 Software $3400 Staff instruction $2000 Labor hours saved: 10 per week at $20/hour

$4500 + $3400 + $2000= $9900 10 hrs/week x $ 20/hr = $ 200/week 9900/200 = 49.5 weeks (11.3 months) (To calculate months from weeks, divide by 4.34)

A food service operates with a 25% food cost. If a menu item has a raw food cost of $1.45, and it takes an employee 45 minutes at $6 an hour to prepare, What is the traditional selling price? What is the selling price formula?

$5.80 Selling price = mark up factor x raw food cost 100/25 = 4.0 mark up factor 4.0 x 1.45 = $5.80

What is the gross food cost for June using the following information? June 1 inventory $5300 July 1 inventory $2700 Food purchases - month of June $3150

$5300 + $3150 = $ 8450 - $ 2700 = $5750

Using the following data, determine the average check for September. Total revenue $909,009 Net income 173,010 FTEs 27.5 Number of customers 32,613

$909,009/32,613 = $ 27.87

If you purchase an oven for $15000. It is expected to last for 3 years after which it can be sold for $8000. What is its depreciation cost each year?

(15000 - 8000)/3 = 2333.33

If you purchase an oven for $15000. It is expected to last for 3 years after which it can be sold for $8000. What is the depreciation rate?

(15000 - 8000)/3 = 2333.33 2333.33/15000 * 100 = 15.5 %

How many 6 ounce servings can you get from 2 gallon of ice cream?

(2 x 128)/6 oz = 42

What is the food cost percentage if the daily cost of food is $30 and the annual income is $45,000

(30 x 30) / (45000/12) * 100 = 24%

Employees Work hours/week Dietitian 40 Nurse 40 Doctor 30 Diet aides 20 Secretary 20 Clerk 10 How many FTE's are in the above operation?

(40 + 40 + 30 + 20 + 20 + 10)/40 = 4

Employees Work hours/week Dietitian 40 Nurse 40 Doctor 30 Diet aides 40 Secretary 20 Clerk 10 Cleaner 20 How many FTE's are in the above operation?

(40+40+30+40+20+10+20)/40 = 5`

How many meals were served per labor minute if 34 FTE produced 3800 meals in one 40 hour week?

.05 34 * 40 = 1360 hrs 3800 meals/wk x 1 wk/ 1360 hrs x 1 hr/ 60 min = 0.046

Find the cost per meal if you serve 120,000 meals, spend $46000 in food purchases and $1250 worth of food was removed from the inventory. What is the cost per meal formula?

.39 Cost per meal: (difference in inventory) + food purchases/meals 46000 + 1250 = 5850 5850/120000 = 0.39

Find the cost per meal if you serve 100,000 meals, spend $45000 in food purchases and $1750 worth of food was removed from the inventory. What is the cost per meal formula?

.46 cost per meal= (difference in inventory) + food purchases/meals 45000 + 1750 = 46750 46750/100,000 = 0.46

How many meals were served per labor minute if 30 FTE produced 3945 meals in one 40 hour week?

0.05 30 x 40 = 1200 hrs 3945 meals/wk x 1 wk/1200 x 1 hr/60 min = 0.054

A baker makes a batch of cookies in 18 minutes. What is the maximum number of batches he can make in 2 hours?

1 batch in 18 mins batch in 1 min = 1/18 batches in 120 mins = 120/18 = 6.6

A baker makes a batch of cookies in 20 minutes. What is the maximum number of batches he can make in 3 hours?

1 batch in 20 mins batch in 1 min = 1/20 batches in 180 mins = 180/20 = 9

Using the following data, the average check for September is: Total revenue $1,000,000 Net income 173,010 FTEs 27.5 Number of customers 4,500

1,000,000/4,500 = $222.22

What is the food cost percentage if the cost of food is $1700 and the annual income is $60,000

1700/ (60000/12) * 100 = 34%

Thirty entrees of fish cost $3.00 per serving. Total sales for the fish came to $280.00. What was the food cost percentage?

30 x 3 = 90/280 x 100 = 32%

** TRICKY** In a hospital with 300 patients, it takes 14 minutes to prepare one meal. How many FTEs are needed per week?

300 pts x 3 meals= 900 meals 900 meals x 14 min/meal =12,600 min 12600 min x 1hr/60 min x 7 days/40 hrs = 36.75 --> 37 FTEs

How many servings are there in 10 gallons of ice cream using a #12 scoop?

32 oz/12 svgs= 2.66 oz/svgs 10 x 128 oz = 1280 oz/2.66 oz svgs = 480 svgs

How much gallons of ice cream is required for 500 servings using #12 scoop?

32 oz/12 svgs= 2.66 oz/svgs 2.66 x 500 = 1330 oz 1330/128 = 10.39

How many servings are there in 10 gallons of ice cream using a #16 scoop?

32 oz/16svgs= 2 oz/svgs 10 x 128 oz = 1280 oz/2 oz svgs = 640 svgs

What is the food cost percentage if the cost of food is $325 and the income is $865

325/865 * 100 = 38%

If the productivity goal for a patient tray assembly unit is 4 trays per minute, the unit should be able to assemble approximately 350 trays in:

4 trays in 1 min 1 tray in 1/4 min 350 trays in 350/4 mins = 87.5 1 hr and 27.5 mins

If an employee works 4 days a week, how many regular employees can be covered by one relief employee?

4/3 = 1.33

Forty entrees of fish cost $2.00 per serving. Total sales for the fish came to $240.00. What was the food cost percentage?

40 x $2.00/svg = $80/$240 x 100 = 33%

Entree: Chicken Paprika # servings 70 food cost/serving $1.50 Grilled Salmon # servings 30 food cost/serving $0.75 Pasta alla Carbonara # servings 40 food cost/serving $0.60 If the above entrees had been served on Tuesday, how many servings of Pasta a;;a Carbonara will you need next Tuesday if you expect to serve 300 total entrees?

40/140 x 300 = 87

Approximately how many patient trays per minute must a centralized tray assembly unit produce in order to serve 400 patients during 90 minutes?

400/90 min= 4.5

How much hamburger will it take to make 200 three ounce patties with 10% shrinkage?

41.5 lbs 200 x 3 oz = 600 oz 600 oz x 1 lb/16 oz = 37.5 lbs 37.5 lbs/.90% yield = 41.6

What is the food cost percentage if the cost of food is $425 and the income is $900

425 /900*100 = 47%

Entree: Roasted Pork # servings 60 food cost/serving $1.50 Vegetable Medley # servings 30 food cost/serving $0.75 Wild Rice Pilaf # servings 40 food cost/serving $0.60 What is the popularity index for Roasted Pork?

60/130 x 100 = 46%

What is the food cost percentage if the cost of food is $625 and the income is $1865

625 /1865*100 = 33%

Your Nutrition Department has 7 FTE Dietitians at $25/hour. How much salary is that per week?

7 x $25/hr x 40 hrs/wk= $7000

An 7 lb. roast beef cost $1.79/lb. The edible portion is 65%. What is the AP price f the roast?

7*1.79 = $12.53

How much hamburger will it take to make 300 three ounce patties with 20% shrinkage?

70 lb 300 x 3 oz = 900 oz 900 oz x 1 lb/16 oz = 56.25 lbs 56.25 lbs/ .80% yield = 70.3

Entree: Pot roast # servings 70 food cost/serving $1.50 Chicken stew # servings 30 food cost/serving $0.75 spaghetti # servings 40 food cost/serving $0.60 What is the popularity index for pot roast?

70/140 x 100 = 50%

How much hamburger will it take to make 400 three ounce patties without 20% shrinkage?

75 lbs 400 patties x 3 oz = 1200 oz 1200 oz x 1 lb/16 oz = 75 lbs

The hospital budget for the first 6 months is set for an 80% occupancy rate. Budget figures for this level are listed below. The second six months will have an occupancy rate of 60%. What would the food cost budget be for the second six months? Food cost $30000 Labor cost $25000 Operating costs $24000

80/100 x = 30,000 x = (30000 x 100)/80 = 37500 Food cost budget = 60/100 x 37500 = $22500

What is the gross food cost for June using the following information? June 1 inventory $8000 July 1 inventory $3500 Food purchases - month of June $4000

8000 + 4000 - 3500 = $8500

Chicken has a popularity index of 45%. There are 380 total patients, 85% of whom are eating. How many will choose chicken?

85/100 x 380 = 323 323 x 45/100 = 145

Chicken has a popularity index of 50%. There are 400 total patients, 90% of whom are eating. How many will choose chicken?

90/100 x 400 = 360 360 x 50/100 = 180

How many quarts of batter are needed to make 144 muffins using a # 12 scoop?

= 12 144 muffins x 1 cup/3 scoops = 48 cups 48 cups x 1 qt/4 cups = 12 qts

A business pays 5% of its income as rent, 60% towards labor and food costs, and 2% towards other monthly expenses. How much profit does this business make per month if total income is $25000?

Total Income = $25000 Rent = 5/100 * 25000 = $1250 Labor and Food Cost = 60/100 x $25000 = $15000 Others = 2/100 * 25000 = $500 $1250+ $15000+ $500= $16750 $25000- $16750= $8250

A business pays 4% of its income as rent ($1200), 70% towards labor and food costs, and $2500 towards other monthly expenses. How much profit does this business make per month?

Total Income = 1200 * 100/4 = $30000 Labor and Food Cost = 70/100 x $30,000 = $21000 $1200 + $21000 + $2500 = $24700 $30000 - $24700 = $5300

A business pays 5% of its income as rent ($1300), 60% towards labor and food costs, and $3000 towards other monthly expenses. How much profit does this business make per month?

Total Income = 1300 * 100/4 = $32500 Labor and Food Cost = 60/100 x $32,500 = $19500 $1300 + $19500 + $3000 = $23800 $32500 - $23800= $8700

What is the labor turnover rate if 15 employees in a dept. of 25 were terminated and replaced.

15/25 * 100 = 60%

What is the labor turnover rate if 6 employees in a dept. of 55 were terminated and replaced.

6/55 * 100 = 11%

If implementing a program costs $3 for each patient and the return is $6 per patient, the cost/benefit ratio is:

3/6 = 1:2

What is the salary of 15 FTEs if the weekly budget is $8000?

15 x 40 = 600 hrs 8000/600 = $13.33 /hr

How many FTE employees would be required to staff ten 8-hour positions that require coverage 7 days a week?

15.5 10 x 1.55 = 15.5

What is the labor turnover rate if 10 employees in a dept. of 60 were terminated and replaced.

10/60 * 100 = 16.6%

A food service operates with a 15% food cost. If a menu item has a raw food cost of $2, and it takes an employee 45 minutes at $6 an hour to prepare, what is the traditional selling price?

100/15 * 2 = $13

Entree: Fish Gumbo # servings 55 food cost/serving $1.50 Vegetarian Lasagne # servings 35 food cost/serving $0.75 Mediterranean Plate # servings 100 food cost/serving $0.60 If the above entrees had been served on Tuesday, how many servings of the Mediterranean Plate will you need next Tuesday if you expect to serve 250 total entrees?

100/190 x 250 = 131

A food service operates with a 50% food cost. If a menu item has a raw food cost of $1.25, and it takes an employee 45 minutes at $6 an hour to prepare, what is the traditional selling price?

100/50 * 1.25 = 2.5

A food service operates with a 60% food cost. If a menu item has a raw food cost of $1.15, and it takes an employee 45 minutes at $6 an hour to prepare, what is the traditional selling price?

100/60 * 1.15 = 1.97

What would be the next number in this list with a moving average of 6? 1400, 1200, 1300, 1250, 1350, 1400, 1425

1200 + 1300 + 1250 + 1350 + 1400 + 1425 = 7925/6 = 1320

How many 4 ounce servings can you get from 1 gallon of ice cream?

128 oz/4 oz = 32

What is the Program cost if savings were $3 million and benefit:cost ratio is 12:7?

12:7 = 12/7 = 1.71 : 1 ratio benefit= $3 million, so cost would be 3/1.71= 1.75 million

What is the total weekly budget if there are 13 FTEs at $20/hr

13 x 40 x 20 = $10400

What would be the next number in this list with a moving average of 5? 1400, 1200, 1300, 1250, 1350, 1400, 1425

1300 + 1250 + 1350 + 1400 + 1425 = 6725/5 = 1345

What is the food cost percentage if the cost of food is $1325 and the income is $2865

1325 /2865*100 = 46%

Using the factor method, determine the selling price using the data below. raw food cost $2.14; prepared food cost $5.21; labor cost $ $3.30; overhead cost $ 1.12; factor 2.37

2.14 x 2.37 = 5.07

If implementing a program costs $2 for each patient and the return is $6 per patient, the cost/benefit ratio is:

2/6 = 1:3

In a hospital with 200 patients, it takes 20 minutes to prepare all day meals for a single patient. How many FTE's are needed per week?

200 pts x 20 mins/meal = 4000 min 4000 min x 1 hr/60 min x 7 days/40 hrs = = 11.67 FTEs

What is the food cost percentage if the cost of food is $2100 and the income is $5500

2100 /5500*100 = 38%

How many meals were served per labor hour if 25 FTE produced 4000 meals in one 40 hour week?

25 * 40 = 1000 4000 / 1000 = 4

Your Nutrition Department has 10 FTE Dietitians at $25/hour. How much salary is that per month?

25 x 40 = 1000 x 10 = 10,000 10,000 * 4 = $40,000

What is the labor turnover rate if 15 employees in a dept. of 30 were terminated and 10 were replaced.

25/30 * 100 = 83%

In a hospital with 250 patients, it takes 20 minutes to prepare one meal. How many FTE's are needed per week?

250 pts x 3 meals = 750 meals 750 meals x 20 min/meal = 15,000 min 15000 min x 1 hr/60 min x 7 days/40 hrs = 43.75 FTEs

Using the factor method, determine the selling price using the data below. raw food cost $3.14; prepared food cost $5.21; labor cost $ $3.30; overhead cost $ 1.12; factor 3.37

3.37 x 3.14 = 10.58

What is the benefit: cost ratio of a program intervention that cost $1.75 million if the savings as a result of the program were $3 million?

3/1.75 = 12 : 7

If the productivity goal for a patient tray assembly unit is 5 trays per minute, the unit should be able to assemble approximately 400 trays in:

5 trays in 1 min 1 tray in 1/5 min 400 trays in 400/5 mins = 80 mins 1 hr and 20 mins

What is the benefit: cost ratio of a program intervention that cost $1890000 if the savings as a result of the program were $5.67 million?

5.67 mil/1.89 mil = 3:1

If an employee works 5 days a week, how many regular employees can be covered by one relief employee?

5/2 = 2.5

What is the labor turnover rate if 5 employees in a dept. of 70 were terminated.

5/70 * 100 = 7%

The hospital budget for the first 3 months is set for an 50% occupancy rate. Budget figures for this level are listed below. The next months will have an occupancy rate of 80%. What would the food cost budget be for the second six months? Food cost $15000 Labor cost $25000 Operating costs $24000

50/100 x = 15000 x = (15000 x 100)/50 = 30000 Food cost budget = 80/100 x 30000= $24000

Approximately how many patient trays per minute must a centralized tray assembly unit produce in order to serve 500 patients during 2 hrs?

500/(2 x 60) = 4.16

How much time will it take to serve 500 patient if the centralized tray assembly unit produce 4 plates per minute?

500/4 = 125 mins

Find the cost per meal if you serve 100,000 meals, spend $50,000 in food purchases and $2000 worth of food was removed from the inventory.

50000 + 2000 = 52000 52000/100000 = 0.52

Your Nutrition Department has 6.5 FTE Dietitians at $20/hour. How much salary is that per week?

6.5 x $20/hr x 8hrs/day x 5 days/wk =$5200 or 6.5 x $20/hr x 40 hrs/wk = $5200

Chicken has a popularity index of 50%. A total of 180 patients had chicken. If 90% of the total patient had food, how many total patient in the hospital?

Answer: 400 total patients 180/.50 = 360 360/.90 = 400

A cafeteria seats 150 customers. Lunch runs from 11:45 AM to 1:00 PM. Turnover is 3 customers/hour. How many can be served during those hours?

No. of hrs of service = 1.25 hrs No. of customer = 150* 3 = 450/hr Total Served = 450 * 1.25 = 562

A cafeteria seats 80 customers. Lunch runs from 11:15 AM to 1:00 PM. Turnover is 2.5 customers/hour. How many can be served during those hours?

No. of hrs of service = 1.75 hrs No. of customer = 80 * 2.5 = 200/hr Total Served = 200 * 1.75 = 350

A cafeteria seats 100 customers. Lunch runs from 11:00 AM to 1:00 PM. Turnover is 1.5 customers/hour. How many can be served during those hours?

No. of hrs of service = 2 hrs No. of customer = 100 x 1.5 = 150/hr Total Served = 150 x 2 = 300

How many quarts of batter are needed to make 150 muffins using a # 12 scoop?

No. of oz for 1 muffin = 32/12 = 2.66 For 150 muffin = 2.66 * 150 = 400 oz No. of quarts = 400 /32 = 12.5

How many quarts of batter are needed to make 300 muffins using a # 16 scoop?

No. of oz for 1 muffin = 32/16 = 2 For 300 muffin =2 * 300 = 600 oz No. of quarts = 600 /32 = 18.75