Una empresa comercializa dos tipos de concemtrado de café, a y b, que se obtiene a partir de tres tipos de granos: de colombia, de etiopia y de costa rica. para elaborar 1kg de concentrado del tipo a se necesitan 4,5 kg de colombia y 3kg de etiopia. por otra parte, se requieren 7,5 kg de colombia y 1,5 kg de costa rica para elaborar un kg de concentrado tipo b. la empresa dispone de 67,5 kg de colombia, 30kg de etiopia y 9kg de costa rica. ademas, se exige que el numero de kilogramos de concentado a sea mayor o igual que la mitad de los kg de concentrado b.

a)plantee el problema

b) indique de manera razonada si con las condiciones dadas seria posible producir 7kg de a y 5 kg de b.

with only one chain and one pendant per necklace.write an expression that shows how much it will cost

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.