Respuesta :
Answer:
The rate of change of revenue per unit is $137.50.
Explanation:
Given;
C = R^2/100,000 + 3064 = (1/100,000)R^2 + 3064 = 0.00001R^2+ 3064 ............ (1)
Differentiating equation (1) with respect to x, we have:
dC/dx = (2 * 0.00001)R * dR/dx
dC/dx = 0.00002R * dR/dx ,,,,,,,,,,,,,,,,,,,, (2)
Where;
dC/dx = Change in cost per unit = $11
R = Revenue = $4000
dR/dx = the rate of change of revenue per unit = ?
Substituting the relevant values into equation (2) and solve for dR/dx, we have:
11 = (0.00002 * 4000) * dR/dx
11 = $0.08 * dR/dx
dR/dx = 11 / 0.08
dR/dx = 137.50
Therefore, the rate of change of revenue per unit is $137.50.
