Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
Answer:
]
Step-by-step explanation:
The given inequality is ;
Multiply through by 8 to clear the fraction;
Expand;
Group similar terms;
Answer:
8.06
Step-by-step explanation:
Hope it helps
Answer:
B. 3.6 x 10^3
Step-by-step explanation:
(1.2 x 10^-2) x (3 x 10^5)
When we multiply terms with powers , we multiply the factors out front and add the exponents
a * 10^b * c* 10^d = ac * 10^(b+d)
(1.2 x 10^-2) x (3 x 10^5) = (1.2* 3) * 10^(-2+5)
= 3.6 * 10 ^3
