An 18-lb bone-in ham with edible portion yield of 56% costs 32.94. What is the invoice cost to serve 85 lb of cooked, sliced ham?

An 18-lb bone-in ham with edible portion yield of 56% costs 32.94. What is the invoice cost to serve 85 lb of cooked, sliced ham?

• A. $155.55
• B. $223.99
• C. $277.78
• D. $296.46

Answer: (D)

You determine the invoice cost by converting the desired cooked weight back to the raw weight needed, then apply the price per raw pound. Edible portion yield of 56% means each raw pound yields 0.56 edible pounds. The raw ham costs 32.94 for 18 pounds, so the cost per raw pound is 32.94 ÷ 18 = 1.83 dollars. To obtain 85 pounds of cooked (edible) ham, you need raw weight equal to 85 ÷ 0.56 ≈ 151.79 pounds. Then the invoice cost is 151.79 × 1.83 ≈ 277.77, which rounds to $277.78. So the invoice cost to serve 85 pounds of cooked, sliced ham is about $277.78.

You determine the invoice cost by converting the desired cooked weight back to the raw weight needed, then apply the price per raw pound.

Edible portion yield of 56% means each raw pound yields 0.56 edible pounds. The raw ham costs 32.94 for 18 pounds, so the cost per raw pound is 32.94 ÷ 18 = 1.83 dollars.

To obtain 85 pounds of cooked (edible) ham, you need raw weight equal to 85 ÷ 0.56 ≈ 151.79 pounds.

Then the invoice cost is 151.79 × 1.83 ≈ 277.77, which rounds to $277.78.

So the invoice cost to serve 85 pounds of cooked, sliced ham is about $277.78.