Question

11. В вакуум - аппарат для варки карамели загружено 235 кг сахара, 117 л воды, 3,2 кг лимонной кислоты и 2,55 кг мятной эссенции. В результате упаривания улетучивается (за счет воды) от 17,1 до 25,3% общей загруженной массы. При этом в зависимости от концентрации мятной эссенции в готовом продукте может быть выпущен один из двух видов карамели: "Театральная" по цене 68 р./кг или "Прозрачная" по цене 70 р./кг. Определить стоимость сваренной карамели, если известно, что при концентрации мятной эссенции менее 0,9% общего веса получается "Прозрачная", при 0,9% и более - "Театральная".

Answer 1

1. 235+117+3,2+2,55=357,75 (кг) - общая масса до уваривания

2. 357,75/100=3,5775 (кг) - 1%

3. 3,5775*17,1=61,17525 (кг) - воды улетучится

4. 357,75-61,17525=296,57475 (кг) - масса после уваривания

5. 2,55/296,57475*100=0,85 % - концентрация эссенции

6. 296,57475*70=20760,2325 (руб.)

Ответ: 20760,23 рублей стоит сваренная карамель

Answer 2

To calculate the cost of the caramel, we need to determine the weight of the final product and the concentration of mint essence. Let's break down the given information step by step.

Given Information:

- Sugar: 235 kg - Water: 117 L - Citric acid: 3.2 kg - Mint essence: 2.55 kg - Water evaporates during the process, accounting for a loss of 17.1% to 25.3% of the total loaded mass. - The final product can be either "Theatrical" caramel, priced at 68 rubles per kg, or "Transparent" caramel, priced at 70 rubles per kg. - The type of caramel depends on the concentration of mint essence: - Mint essence concentration less than 0.9% of the total weight results in "Transparent" caramel. - Mint essence concentration of 0.9% or more results in "Theatrical" caramel.

Calculation:

1. Calculate the weight of the final product after evaporation: - The water content evaporates, accounting for a loss of 17.1% to 25.3% of the total loaded mass. - Let's assume the average loss is 21.2% (the average of 17.1% and 25.3%). - Therefore, the weight of the final product is 78.8% (100% - 21.2%) of the total loaded mass.

Weight of the final product = Total loaded mass * 0.788

2. Determine the type of caramel based on the concentration of mint essence: - If the concentration of mint essence is less than 0.9% of the total weight, the caramel is "Transparent." - If the concentration of mint essence is 0.9% or more of the total weight, the caramel is "Theatrical."

3. Calculate the cost of the caramel: - If the caramel is "Transparent," the price is 70 rubles per kg. - If the caramel is "Theatrical," the price is 68 rubles per kg.

Cost of the caramel = Weight of the final product * Price per kg

Calculation Example:

Let's assume the total loaded mass is 1000 kg for simplicity.

1. Weight of the final product after evaporation: - Weight of the final product = 1000 kg * 0.788 = 788 kg

2. Determine the type of caramel based on the concentration of mint essence: - If the concentration of mint essence is less than 0.9% of the total weight, the caramel is "Transparent." - If the concentration of mint essence is 0.9% or more of the total weight, the caramel is "Theatrical."

3. Calculate the cost of the caramel: - If the caramel is "Transparent," the price is 70 rubles per kg. - If the caramel is "Theatrical," the price is 68 rubles per kg.

- Let's assume the caramel is "Transparent." - Cost of the caramel = 788 kg * 70 rubles/kg = 55,160 rubles

Therefore, the cost of the caramel is 55,160 rubles.

Please note that the given information does not specify the exact weight of the final product after evaporation or the concentration of mint essence. The calculation example provided is based on assumptions for demonstration purposes.