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ID: 2585651 • Letter: T

Question

takeAssignmentMain.do?invoker-assignments&takeAssignmentSessionLocator; assignment-take&inprogress; failse Print tem and Present Value Index 90% Equipment Company is considering an investment in one of two machines. The sewing machine will increase sewing 234 per hour. The contribution margin is $0.46 packing machine for the golf ball $280,400, have a seven-year life, and will per baseball. Assume that any increased production of basebals can be sold. The second machine is an automatic line. The packing machine will reduce hours per productivity from sewing 130 baseballs per hour to ne. The packing machine will reduce packing labor cost. The labor cost saved is equivelent to $19 per hour The sewing machine wil o operate for 1,400 hours per year. The packing machine will cost $91,000, have a seven-year life, and will operate for 1,200 hours Present Value of an Annuity of $1 at Compound on its Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.60s 3.353 2.991 4.917 4.355 4.111 3.78s 3.326 5.582 4.868 4564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.3606.145 5.650 5.019 4.192 for the two machines. Use the table of present values of an annuity of s1 above. Round to the nearest

Explanation / Answer

Answer:

Calculation of annual net cash flow

Sewing Machine

=(234-130) x 0.46 x 1400 hour

=$66,976

Packing machine

=$19 x1200

=22800

Calculation of the present value of annual cash inflow

Sewing Machine

Packing Machine

Annual cash Inflow

66976

22800

Multiplied by

Present value factor at the rate of 10% for 7 years

4.868

4.868

Present value of annual net cash flows

326039.168

110990.4

Now we will find the net present value as under

Sewing Machine

Packing Machine

Present value of annual net cash flows

326039.168

110990.4

Less amount to be invested

280,400

91,000

Net present value

45,639

19,990

___________________________________________________________

2

Present value index for the two machine

= Present value of annual net cash flows / Investment

Sewing Machine

Packing Machine

Present value of annual net cash flows

326039.168

110990.4

Divided by

Investment

280400

91000

Present value index

1.163

1.220

_____________________________________________

3

MVP should invest in packing machine as its Present value index is higher

Sewing Machine

Packing Machine

Annual cash Inflow

66976

22800

Multiplied by

Present value factor at the rate of 10% for 7 years

4.868

4.868

Present value of annual net cash flows

326039.168

110990.4