Question

2. The profit function telling Georgio how much money he will net for

producing and selling x specialty umbrellas is given by
P(x) = -0.00405x² + 8.15x - 100.
What is Georgio's loss if he doesn't sell any of the umbrellas he produces,

Answer 1

Answer And Step-by-step explanation:

Georgio's loss if he doesn't sell any of the umbrellas he produces can be determined by evaluating the profit function, P(x), when x is equal to zero.

Substituting x = 0 into the profit function, we have:

P(0) = -0.00405(0)² + 8.15(0) - 100

= -0 + 0 - 100

= -100

Therefore, Georgio's loss if he doesn't sell any of the umbrellas he produces is $100.

In this case, the profit function represents a quadratic equation, where the coefficient of x² is -0.00405, the coefficient of x is 8.15, and the constant term is -100. The value of x represents the number of specialty umbrellas produced and sold.

It is important to note that the profit function gives the net profit, which is the difference between the revenue earned from selling the umbrellas and the cost of producing them. In this case, if the net profit is negative, it indicates a loss.

Answer 2

Georgio's = $100.

Explanation:

In order to find Georgio's loss if he doesn't sell any of the umbrellas he produces, we need to find the value of the profit function P(x) when x = 0.

`\sf P(0) = -0.00405(0)^2 + 8.15(0) - 100`

`\sf P(0) = -100`

Therefore, Georgio's loss if he doesn't sell any of the umbrellas he produces is $100.