Question

The Sweetwater Candy Company would like to buy a new machine that would automatically “dip” chocolates. The dipping operation currently is done largely by hand. The machine the company is considering costs $200,000. The manufacturer estimates that the machine would be usable for five years but would require the replacement of several key parts at the end of the third year. These parts would cost $11,200, including installation. After five years, the machine could be sold for $9,000.

The company estimates that the cost to operate the machine will be $9,200 per year. The present method of dipping chocolates costs $52,000 per year. In addition to reducing costs, the new machine will increase production by 8,000 boxes of chocolates per year. The company realizes a contribution margin of $1.60 per box. A 18% rate of return is required on all investments.

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.

Required:

1. What are the annual net cash inflows that will be provided by the new dipping machine?

2. Compute the new machine’s net present value.

Answer 1

Solution 1:

Saving in annual cost to operate = $52,000 - $9,200 = $42,800

Additional contribution margin for additonal production = 8000 * $1.60 = $12,800

Annual net cash inflows provided by new dipping machine =$42,800 + $12,800 = $55,600

Solution 2:

Computation of NPV - Sweet water candy Company
Particulars	Amount	Period	PV Factor	Present Value
Cash Outflows:
Cost of Investment	$200,000.00	0	1	$200,000.00
Replacement of key parts	$11,200.00	3	0.608631	$6,816.67
Present Value of Cash Outflows (A)				$206,816.67
Cash Inflows:
Annual cash inflows	$55,600.00	1-5	3.127171	$173,870.71
Salvage Value	$9,000.00	5	0.437109	$3,933.98
Present Value of Cash Inflows (B)				$177,804.69
Net Present Value (B-A)				-$29,011.97