A candy store estimates that by charging x dollars each for a certain candy, it can sell 8−x candies each day. Use the quadratic function R(x)=− x 2 +8x to find the revenue received when the selling price of a candy is x . Find the selling price that will give the company the maximum revenue, and then find the amount of the maximum revenue.

Selling price: x = 4

Maximum revenue: R(x) = 16

Step-by-step explanation:

The revenue received when the selling price of the candy is x is expressed with the equation R(x) = −x2 + 8x, which is a quadratic equation.

To find the value of x that gives us the maximum value of R(x), we need to find the value of x in the vertex of the quadratic equation. The formula to find this value of x is:

x_v = -b / 2a

where a and b are coefficients of the quadratic equation (in our case, a = -1 and b = 8).

So, we have that:

x_v = -8 / 2(-1) = -8 / -2 = 4

So the selling price of the candy that gives the maximum renevue is x = 4.

The maximum revenue will be:

R(4) = -4^2 + 8*4 = -16 + 32 = 16

15 batches are the most you can make

step-by-step explanation:

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights