Multiply by 3 on both sides of the equation to get
by+2=3c
Then subtract 2 from both sides to get
by=3c-2
Divide by b on both sides to get
y=(3c-2)/b
Using the vertex of a quadratic function, it is found that:
a) The revenue is maximized with 336 units.
b) The maximum revenue is of $56,448.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
The demand function is given by:
p(x) = 336 - 0.5x.
Hence, the revenue function is:
R(x) = xp(x)
R(x) = -0.5x² + 336x.
Which has coefficients a = -0.5, b = 336.
Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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Answer:
C) Commensalism has no effect on the species, while parasitism has a negative effect.
Explanation:
Commensalism and parasitism are both forms of species interaction.
Commensalism:
Commensalism refers to an ecological relationship between two species where one species benefits from the other but the other is neither harmed nor benefited. For example, remoras are little fish that attach to sharks and other larger fish. Remoras benefit in terms of protection, transport and food. They feed off scraps attached to the shark's mouth and teeth. However, the shark neither benefits nor suffers from this interaction.
Parasitism:
Parasitism is a relationship between a host and a parasite where the parasite benefits at the expense of the host. the parasite attains benefits while harming the host. For example, ticks and fleas that infest dogs. The ticks attain nutrients from the host's blood and in turn, weaken and harm the host.
Answer:
c 2
Step-by-step explanation:
h/3 + h/6 =1
Multiply both sides by 6 to eliminate the fractions
6(h/3+h/6) = 1*6
2h +h =6
Combine like terms
3h = 6
Divide by 3
3h/3 = 6/3
h =2
2 hours
Answer:
S
Step-by-step explanation:
