Answer:
Explanation:
Data provided in the question:
Cost of chair P = $60
Cost of chair Q = $90
Number of chair P ordered = p
Number of chair Q ordered = q
Now,
Total number of chairs ordered
= Number of chair P ordered + Number of chair Q ordered
= p + q
Total cost of chairs ordered = $60p + $90q
Therefore,
Average cost of a chair
= [Total cost of chairs ordered ] ÷ [Total number of chairs ordered]
=
Answer: Proposal C
Explanation:
The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.
Proposal A.
Periodic payment of $2,000 makes this an annuity.
Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r
= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%
= $103,451.12
Proposal B
Present value = Down payment + present value of annuity
= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]
= 10,000 + 93,676.70
= $103,676.70
Proposal C
Present value = Present value of annuity + Present value of future payment
= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]
= 16,435.51 + 85,999.17
= $102,434.68
<em>Proposal C has the lowest present value and so is best. </em>
