4,968 dollars you just have to multiply 72 x 69
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Answer:
726√3
Step-by-step explanation:
Area of a Hexagon = (3√3)/2 x a²
Area of this Hexagon
= (3√3)/2 x 484
= 3√3 x 242
= 726√3
Answer:
$192
Step-by-step explanation:
The cost function is given as:
C(x)=18x+240
The price function is given as:
p(x)= 90 - 3x
The revenue R(x) is the product of the price and the number of products. It is given by:
R(x) = xp(x) = x(90 - 3x) = 90x - 3x²
The profit P(x) is the difference between the revenue and the cost of production. Therefore:
P(x) = R(x) - C(x) = 90x - 3x² - (18x + 240) = 90x - 3x² - 18x - 240
P(x) = -3x² + 72x - 240
The standard equation of a quadratic equation is ax² + bx + c. The function has a maximum value at x = -b/2a
Since P(x) = -3x² + 72x - 240, the maximum profit is at:
x = -72/2(-3) = 12
at x = 12, the profit is:
P(12) = -3(12)² + 72(12) - 240 = -432 + 864 - 240 = $192