When MyKing Burgers charges a price p dollars for one of its burgers, its revenue in dollars is given by
R(p) = −200p(p − 10) For what prices does the company have no revenue?
for this problem do i set the equation at
0=-200p(p-10) and solve from there?
Yes, but it is trivial
p = 0 and p = 10 give R = 0
How do I learn Algebra when I have eight week of class. I know some not a lot.
Yes, for this problem, you set the revenue equation equal to zero and solve for the price values where the company has no revenue.
To find the prices at which the company has no revenue, you need to solve the equation R(p) = 0. In this case, the revenue equation is R(p) = -200p(p - 10).
So, you can set the equation equal to zero:
0 = -200p(p - 10)
To solve this equation, you can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, you can set each factor equal to zero and solve for the price values:
Setting the first factor equal to zero:
-200p = 0
p = 0
Setting the second factor equal to zero:
p - 10 = 0
p = 10
Therefore, the company has no revenue at two price values: p = 0 and p = 10.