Question

In: Operations Management

1. A case of 14 bunch broccoli is purchased $16.75. What is the cost per bunch?...

1. A case of 14 bunch broccoli is purchased $16.75. What is the cost per bunch?

2. A case of green beans has 6, #10 cans per case and cost $23.28 per case. What is the cost per can?

3. A case of 6, #10 cans of green beans cost 23.28 per case. The chef has a vegetable soup recipe that calls for 1lb 4 ounces of green beans for a soup recipe. Each can has 46 ounces of drained green beans. What is the cost of ONE POUND of canned green beans?

4. A 14 bunch case of broccoli weighs 25 lbs at the purchase price of $16.75. After trimming and prepping for service you have 17 lbs 8 ounces left. What is the Edible Price (EP) per pound?

5. If you start with 25 pounds of carrots that cost $17.35, but end up with only 78% of the original weight after peeling and toping, what is the cost per pound of EP carrots?

Solutions

Expert Solution

1. A case of 14 bunch broccoli is purchased for $16.75

Cost of 14 bunches of broccoli = $16.75

Cost per bunch = total cost of case/number of bunch of broccoli per case.

Here cost of case = $16.75

Number of bunch of broccoli per case = 14

Hence cost per bunch = 16.75/14 = $1.19642

Cost per bunch = $1.20 (rounded to two decimal)

2. Case of beans has 6 numbers of #10 cans.

Cost per case = $23.28

Cost per can = cost per case/number of cans per case

= 23.28/6

= $3.88

Cost per can = $3.88

3. Cost per case = $23.28

Number of cans per case = 6

Each can has 46 ounces of drained green beans.

Hence ounces in a case = ounces per can * number of cans in a case = 46*6 = 276 ounces

In a case, the number of ounces of drained beans = 276

We know 1 pound = 16 ounces.

Hence weight of canned beans in a case = 276/16 = 17.25 pounds

Cost of a case = $23.28

Pounds per case = 17.25

Hence cost per pound = Cost of case/pounds per case

= 23.28/17.25

= $1.3495

Hence, Cost of One Pound of canned green beans = $1.35 (rounded to two decimal)

4. Here, the edible weight of Broccoli = 17lbs 8ounces = 17*16 + 8 = 272 + 8 = 280 ounces

Price of 280 ounces of edible broccoli = $16.75

Hence, price per ounce of edible broccoli = price per case/edible ounces in a case

= 16.75/280

One pound(lbs) = 16 ounces

Hence price per pound = 16*16.75/280 = 0.95714

Hence, Edible Price of broccoli = $0.96 (rounded to two decimal)

5. 25 pounds of carrot costs = $17.35

Edible carrot is only 78% of the total carrot = 25*0.78 = 19.5 pounds

Hence, 19.5 pounds of edible carrot costs = $17.35

Edible price per pound = total cost/edible carrot = 17.35/19.5 = $0.88974

Hence, Edible price per pound of carrot = $0.89 (rounded to two decimal)

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