Answer:
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)
La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:
La cantidad remanente de yogurt es:
Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:
Finalmente, el total de botellas a llenar es:
Answer:
(a) A(x) = 100x + 1100
(b) x = 2.5 USD
(c) A(x) = 100x + 1100 and x = -1.5 USD
Step-by-step explanation:
(a) Since there's a linear relation between weekly sales A(x) and the discount, we can model it as the following expression
A(x) = mx + b
where x is the discount, m is the slope and b is the intersect of the linear equation. We can solve for slope first
To solve for b, we can just plug in m = 100, x = 0 and A(0) = 1100
1100 = 100*0 + b
b = 1100
Therefore A(x) = 100x + 1100
With discount x, the actual price would then be p - x. Where p is the original undiscounted pricing ($16 in this case)
And with sale A(x), the revenue would then be
To find the maximum value of this, we can take the 1st derivative and set it to 0
R' = -200x + 100p - 1100 = 0
200x = 100p - 1100
when p = $16 then x = 0.5*16 - 5.5 = 8 - 5.5 = 2.5 USD
(c) when the price p is $8 then A(x) would sill be 100x + 1100 because it doesn't depend on p, but the discount. But to maximize the revenue, x will need to be
0.5p - 5.5 = 0.5*8 - 5.5 = 4 - 5.5 = -1.5 USD
So the Pizza owner would need to raise the price by 1.5 USD because originally the pizza is already inexpensive.
Answer:
Step-by-step explanation:
well thats the graph 4 u
