Question

In a certain factory, the production and sale of ice cream involve the cost of producing each kilogram at 'c' dollars. If 'x' kilograms are produced and sold per month at a selling price of $0.16 per kilogram, the factory's monthly net profit is 'P' dollars. Write an equation that expresses the relationship between the number of kilograms produced 'x', the production cost per kilogram 'c', and the monthly net profit 'P'.

Answer 1

The equation expressing the relationship between the number of kilograms produced 'x', the production cost per kilogram 'c', and the monthly net profit 'P' for ice cream production is P = (0.16 * x) - (c * x).

Step-by-step explanation:

The student has asked to write an equation that expresses the relationship between the number of kilograms produced 'x', the production cost per kilogram 'c', and the monthly net profit 'P' for a factory producing and selling ice cream. To find the monthly net profit, we will need to subtract the total production cost from the total revenue generated from sales. The total revenue is calculated by multiplying the number of kilograms sold 'x' by the selling price per kilogram, which is $0.16. The total production cost is the product of the number of kilograms produced 'x' and the production cost per kilogram 'c'. Thus, the equation for monthly net profit 'P' can be written as:

P = (0.16 * x) - (c * x)

This equation shows that the cost of production and the desired profit are both factors that will determine the price at which the factory should sell its ice cream to achieve a specific monthly net profit.