Answer:
A) 9458 units
B) She would prefer the one with the single lump payment of $35,000 because the present value of the other one would increase with an increase in the units sold.
Step-by-step explanation:
A) To calculate the uniform annual sales volume based on a present worth analysis, we will make use of the formula for present value of annuity.
Thus;
P = PMT × (1 - ((1/(1 - rⁿ))/r
From the question, we are given;
P = $35,000
PMT = (1200 + 0.4x)
r = 7% = 0.07
n = 10
Thus, Plugging in the relevant values, we have;
(1200 + 0.4x)((1 - (1/(1 + 0.07)^10))/0.07 = 35000
This gives;
(1200 + 0.4x) × 7.0236 = 35000
(1200 + 0.4x) = 35000/7.0236
(1200 + 0.4x) = 4983.2
0.4x = 4983.2 - 1200
0.4x = 3783.2
x = 3783.2/0.4
x = 9458 units
B) She would prefer the one with the single lump payment of $35,000 because the present value of the other one would increase with an increase in the units sold.