Respuesta :
Answer:
The number of dolls sold is 10,400.
Step-by-step explanation:
The number (N) of dolls sold varies directly as their advertising budget (A) and inversely with the price (P) of each doll.
Mathematically, the statement above is represented as:
N = kA/P
k is the proportionality constant.
k = NP/A = 5,200 × 30/26,000 = 6
When A = $52,000 and P = $30
N = kA/P = 6 × 52,000/30 = 10,400 dolls
Given information:
Number of dolls = N₁ = 5200
Advertising cost = A₁ = $26000
Advertising cost = A₂ = $52000
Cost of each doll = P = $30
Required Information:
Number of dolls = N₂ = ?
Answer:
Number of dolls = N₂ = 10400
Step-by-step explanation:
The number of dolls sold are directly proportional to the advertising expenses.
N ∝ A
The number of dolls sold are inversely proportional to the cost of each doll.
N ∝ 1/P
N = kA/P
Where k is the constant of proportionality.
Firstly, determine the constant k
k = PN₁/A₁
k = (30*5200)/26000
k ≈ 6
Now we can find the revised number of dolls at new advertising cost.
N₂ = kA₂/P
N₂ = (6*52000)/30
N₂ = 10400 dolls
As expected since the advertising cost and number of dolls were directly proportional, an increase in advertising cost would cause increase in the number of dolls .