A model for a company's revenue from selling a software package is R(p)=-2.5p² + 400p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Answer: p = $80, R = $16,000
Step-by-step explanation:
The maximum is the y-value of the Vertex.
Step 1: Use the Axis-Of-Symmetry (AOS) formula to find x:
x=
R(p) = -2.5p² + 400
a= -2.5 b=400
= 
=80
∴ In order to maximize the value, the company will sell the software package for $80
Step 2: Find the maximum by plugging the p-value (above) into the given equation.
R(80) = -2.5(80)² + 400(80)
= -16,000 + 32,000
= 16,000
<span>Smallest to largest is--
millimeter (0.001m)
decimeter (0.01m)
centimeter(0.1m)
meter (1m)
dekameter (10m)
hectometer (100m)
kilometer (1000m)</span>
To form ammonia, we can react 2 molecules of N₂ with 6 molecules of H₂. Once the reaction has completed, the total molecules of each gas will be: 1 molecule of nitrogen, 3 molecules of hydrogen, and 4 molecules of ammonia.
<h3>How to predict the total molecules of reactants and products?</h3>
The formation reaction of ammonia needs one molecule of nitrogen and 3 molecules of hydrogen. The reaction is as shown in the equation below:
N2(g) + 3H2(g) --> 2NH3(g)
2N2(g) + 6H2(g) --> 4NH3(g)
They will form a new product as four molecules of NH₃. Speaking in the present time after the reaction has completed, half of the reactants (N₂ and 3H₂) are gone to form the ammonia. Hence, the correct answer is: 1 N₂, 3 H₂, and 4 NH₃.
This question seems incomplete. The complete query is as follows:
"We are reacting two molecules of nitrogen gas with six molecules of hydrogen gas to form ammonia, NH₃. How many molecules of each type of gas will be present once the reaction has completed?"
Learn more about the coefficients of a chemical reaction here brainly.com/question/28909749
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<span>When a newly formed cell enters into interphase and begins conducting metabolic functions, it is in G1 phase.</span>
