Answer :
To achieve a desired beverage cost percentage of 15%, the restaurant should charge $4.17 for a glass of wine.
First, let's calculate the total cost of the 5 cases of red wine. Each case contains 12 bottles, so the total number of bottles ordered is 5 cases * 12 bottles = 60 bottles.
Next, let's calculate the cost per bottle. The restaurant paid $417 for the 5 cases, so the cost per bottle is $417 / 60 bottles = $6.95 (rounded to the nearest cent).
Now, we need to determine the cost per glass of wine. Since each bottle is 750 milliliters and each glass holds 6 ounces, we need to convert milliliters to ounces. One milliliter is approximately 0.0338 ounces, so 750 milliliters is approximately 750 * 0.0338 = 25.35 ounces.
To determine the cost per ounce of wine, we divide the cost per bottle by the number of ounces in the bottle: $6.95 / 25.35 ounces = $0.274 (rounded to the nearest cent).
Finally, to achieve a beverage cost percentage of 15%, we need to set the selling price so that it covers the cost and provides the desired profit margin. The cost of the wine per glass is $0.274, and we want the cost to be 15% of the selling price. So we can set up the equation:
0.15 * selling price = $0.274
To solve for the selling price, we divide both sides of the equation by 0.15:
selling price = $0.274 / 0.15 ≈ $1.83 (rounded to the nearest cent).
However, the restaurant should aim to cover the cost and achieve a profit, so we can round up the selling price to $1.84 or a more customer-friendly amount. Therefore, the restaurant should charge approximately $1.84 for a glass of wine to achieve a desired beverage cost percentage of 15%.
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