On a coordinate plane, the orange K is shifted to form the purple K, reflected across the x-axis to form the green k, and rotate
1 answer:
You might be interested in
Let's go step by step:
a) You are given four couples of x and y values which model the relationship between the number of drinks and their cost. So, the couple means that if you buy zero drinks, you spend no money. That makes sense. The next information we have is
, which means that two drinks cost 3 dollars, and so on.
So, you simply need to draw on the grid the four points
b) The domain is the set of inputs. Since we only know the value of the function on four different points (we know the price for 0,2,4 and 6 drinks), the domain is discrete. In fact, a continuous domain must contain an interval (for example, is a continuous domain), whereas if you pick a certain number of points (like in this case: we picked 0,2,4 and 6), the domain is discrete.
c) Once the points are drawn on the grid, you can see that they all lie on the same line. To find that line, we will only need two of those points (once two points are fixed, there is only one line passing through them). In general, the equation of the line passing through and
is
Let's choose, for example, the first two points. The equation is
d) Now that we know the equation of the line, we can compute the cost of any number of drinks: the equation of the line is a function that associates a cost, y, with every possible number of drinks, x.
Of course, some associations will be odd - we can compute the cost of drink, but what would it mean?
Anyway, the question about the cost of two drinks seems more than reasonable, so let's see which y value is associate with the particular x value of 2:
So, two drinks cost 3 dollars.
Answer:
¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800
Step-by-step explanation:
x : Número de DVD del modelo A
y : Número de DVD del modelo B.
MODELO A MODELO B TOTAL
Cantidad de caucho 1x 1x 50 kg.
Horas de mano de obra 1x 2x 80 horas
U : Utilidad mensual.
La función objetivo, que se debe maximizar, es:
U=30 + 40y
x+ y
x + 2y
x
y
Las coordenadas de los vértices de la región factibles son:
A (0, 0) B (50, 0) C (20, 30) D(0, 40)
Entonces, se evalúa la función objetivo en cada punto:
U (0, 0) = 30 (0) + 40 (0) = 0
U (50, 0) = 30 (50) + 40(0) = 1500
U (90, 0) = 30 (20) + 40 (30) = 1800
U (0, 40) = 30 (0) + 40 (40) =1600
Por consiguiente U tiene un valor máximo en C , en donde: x =20 , y = 30 .
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.
30 x 40 y
s.a.
x 0 (3)
y 0 (4)