EXPLAIN YOUR WORK The Sweetwater Candy Company would like to buy a new machine t
ID: 2455072 • Letter: E
Question
EXPLAIN YOUR WORK
The Sweetwater Candy Company would like to buy a new machine that would automatically dip chocolates. The dipping operation is currently done largely by hand. The machine the company is considering costs $90,000. The manufacturer estimates that the machine would be usable for 12 years, but would require the replacement of several key parts at the end of the sixth year. These parts would cost $5,400, including installation. After 12 years, the machine could be sold for about $4,500.
The company estimates that the cost to operate the machine will be only $6,000 per year. The present method of dipping chocolates costs $26,000 per year. In addition to reducing costs, the new machine will increase production by 2,000 boxes of chocolates per year. The company realizes a contribution margin of $1.50 per box. A 20% rate of return is required on all investments.
Click here to view Exhibit 10-1 and Exhibit 10-2, to determine the appropriate discount factor(s) using tables.
What are the net annual cash inflows that will be provided by the new dipping machine?
Net annual cash inflows ______
2. Compute the new machine's net present value using the incremental cost approach. (Round discount factor(s) to 3 decimal places.)
NET PRESENT VALUE ___________
The Sweetwater Candy Company would like to buy a new machine that would automatically dip chocolates. The dipping operation is currently done largely by hand. The machine the company is considering costs $90,000. The manufacturer estimates that the machine would be usable for 12 years, but would require the replacement of several key parts at the end of the sixth year. These parts would cost $5,400, including installation. After 12 years, the machine could be sold for about $4,500.
Explanation / Answer
The company has incremental cash inflow of 20000 (i.e. 26000- 6000) from cost reduction and 3000 (i.e. 1.5 * 2000) from increased production. Therefore yearly incresed flow = 23000.
The increased outflows are 90000 for purchase of machine and 5400 at the end of 6 yrs for repairs.
In addition the company has a terminal cash flow of 4500 from the sale of machine at the end of 12th year.
NPV of the Machine = PV of all inflows - PV of all outflows
= [ (23000/1.2 +23000/1.22 + 23000/1.23 + ....... + 23000 /1.212) +4500/1.212 ] - [ 90000 + 5400/1.26 ]
= [( 102102 ) + ( 504.705 ) ] - [ 90000 + 1808.449 ]
= 10798.24
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