Question

1. I've purchased 10 pounds of whatchamacallit fruit at the farmers market from Farmer Frank. Once it has been peeled, cored and sectioned I have 2 lbs and 3 ounces of trim.   The cost was $36.42 for 10 pounds.

What is the AP cost per pound?

2. I've purchased 10 pounds of whatchamacallit fruit at the farmers market from Farmer Frank. Once it has been peeled, cored and sectioned I have 2 lbs and 3 ounces of trim.   The cost was $36.42 for 10 pounds. What is the EP cost per pound?

3. I've purchased 10 pounds of whatchamacallit fruit at the farmers market from Farmer Frank. Once it has been peeled, cored and sectioned I have 2 lbs and 3 ounces of trim.   The cost was $36.42 for 10 pounds. What is the Yield Percentage?

4. I've purchased 10 pounds of whatchamacallit fruit at the farmers market from Farmer Frank. Once it has been peeled, cored and sectioned I have 2 lbs and 3 ounces of trim.   The cost was $36.42 for 10 pounds. Chef Al Donta need to produce 48 whatchamacallit fruit pies with each pie needing 2lb 8 ounces of fruit. How many pounds (ROUNDED UP TO THE NEXT FULL POUND) of fruit must be bought to produce the required pies. (use the yield percentage !)

5. I've purchased 10 pounds of whatchamacallit fruit at the farmers market from Farmer Frank. Once it has been peeled, cored and sectioned I have 2 lbs and 3 ounces of trim.   The cost was $36.42 for 10 pounds.

If I purchase 25 pounds next week, how many pounds (show pounds and decimals parts of pound) will I have once they are peeled, cored and sectioned with the same yield percentage as the first week?

6. AP 50 lbs of carrots will yield how many pounds of EP lbs. at an 88% yield. Use pound and decimal amount for your answer.

7. AP = $1.99 per pound, YP = 74%. What is the EP cost PER OUNCE?

8. AP = $16.18 per 10 lbs, YP = 83%; what is the EP cost per lb?

9. What is the AP cost per ounce of a 50lb bag of Golden Beets purchased for $39.99 per bag?

10. What is the EP cost per ounce of Golden Beets purchased at $39.99 per 50 lb bag, with a yield of 86.5%?

Answer 1

1) As Purchased (AP) is the portion of food in raw state (before it is peeled or processed) - Thus, AP cost per pound is $ 36.42/10 pounds = $3.642 per pound

2) Edible portion (EP) is the portion of food that is actually server to the end consumer. - Thus EP per pound is $36.42/2 pounds and 3 ounces = $36.42/2.19 pounds = $16.63 per pound

3) Yield Percentage = EP/AP = 2.19 pounds/10 = 0.219 = 21.9%

4) Total amount of EP required = 48 * 2 pounds 8 ounces = 48*2.5= 120 pounds

To get 120 pounds, he will have to purchase AP = EP / Yield Percentage = 120/0.219 = 548 pounds

5) EP = AP *Yield percentage = 25*0.219=5.475 pounds

6)EP = AP *Yield percentage = 50*0.88= 44 Pounds

7) EPcost = AP cost /Yield percentage = (1.99/16)/0.74= $ 0.168 per ounce

8) EPcost = AP cost /Yield percentage = 1.68/0.83 = $2.024 per pound

9) AP cost per ounce = $39.99/(50*16) = $ 0.50 per ounce

10) EPcost = AP cost /Yield percentage = 0.50/0.865= $ 0.578 Per ounce