(20.) Your recipe for shrimp scampi yields 18 portions at a recipe cost of $$ \$ 98,30 $$. You sell one portion $$ \frac{ ext { for } 517.00 ext {. If the total recipe cost decreased to } \$ 94.85 ext {, by how much would the food cost percent }}{ ext { change? }} $$

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(20.) Your recipe for shrimp scampi yields 18 portions at a recipe cost of $$ \$ 98,30 $$. You sell one portion $$ \frac{	ext { for } 517.00 	ext {. If the total recipe cost decreased to } \$ 94.85 	ext {, by how much would the food cost percent }}{	ext { change? }} $$

UpStudy AI · Accepted Answer

1. Compute the original cost per portion:
$$
C_{\text{orig}} = \frac{98.30}{18} \approx 5.4611
$$

2. Determine the original food cost percent. Since one portion is sold for $$\$17.00$$, the original food cost percent is:
$$
\text{FCP}_{\text{orig}} = \frac{C_{\text{orig}}}{17} \times 100\% \approx \frac{5.4611}{17} \times 100\% \approx 32.12\%
$$

3. Compute the new cost per portion when the recipe cost is decreased:
$$
C_{\text{new}} = \frac{94.85}{18} \approx 5.2694
$$

4. Determine the new food cost percent:
$$
\text{FCP}_{\text{new}} = \frac{C_{\text{new}}}{17} \times 100\% \approx \frac{5.2694}{17} \times 100\% \approx 31.06\%
$$

5. Calculate the change in the food cost percent:
$$
\text{Change} = 32.12\% - 31.06\% \approx 1.06\%
$$

Thus, the food cost percent would decrease by approximately $$1.06\%$$.
The food cost percent decreases by approximately 1.06%.

(20.) Your recipe for shrimp scampi yields 18 portions at a recipe cost of . You sell one portion

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