Question

In: Finance

To solve the bid price problem presented in the text, we set the project NPV equal...

To solve the bid price problem presented in the text, we set the project NPV equal to zero and found the required price using the definition of OCF. Thus the bid price represents a financial break-even level for the project. This type of analysis can be extended to many other types of problems.

      Romo Enterprises needs someone to supply it with 115,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. It will cost you $820,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. You estimate that, in five years, this equipment can be salvaged for $65,000. Your fixed production costs will be $320,000 per year, and your variable production costs should be $9.80 per carton. You also need an initial investment in net working capital of $70,000. Assume your tax rate is 35 percent and you require a 12 percent return on your investment.

  

a.

Assuming that the price per carton is $16.50, what is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

  

  NPV $   

  

b.

Assuming that the price per carton is $16.50, find the quantity of cartons per year you need to supply to break even. (Do not round intermediate calculations and round your answer to nearest whole number.)

  

  Quantity of cartons   

  

c.

Assuming that the price per carton is $16.50, find the highest level of fixed costs you could afford each year and still break even. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

  

  Fixed costs $   

Solutions

Expert Solution

a) Statement showing NPV

Particulars 0 1 2 3 4 5 NPV
Cost of machine -820000
WC required -70000
SPPU 16.5 16.5 16.5 16.5 16.5
VCPU 9.8 9.8 9.8 9.8 9.8
CPU 6.7 6.7 6.7 6.7 6.7
No of units 115000 115000 115000 115000 115000
Total contribution 770500 770500 770500 770500 770500
Fixed cost 320000 320000 320000 320000 320000
Depreciation 164000 164000 164000 164000 164000
PBT 286500 286500 286500 286500 286500
Tax @ 35% 100275 100275 100275 100275 100275
PAT 186225 186225 186225 186225 186225
Add: depreciation 164000 164000 164000 164000 164000
Cash flow 350225 350225 350225 350225 350225
Salvage value(65000-35%) 42250.00
WC release 70000
Total cash flow -890000 350225 350225 350225 350225 462475
PVIF @ 12% 1 0.892857143 0.797193878 0.711780248 0.635518078 0.5674269
Present value -890000 312701 279197 249283 222574 262421 436176

b) Break even point = Fixed cost/CPU

=Fixed cost+ depreciation/ CPU

=320000+164000/6.7

=484000/6.7

=72238.81 ie 72239 units

C) Highest level of fixed cost = units * CPU

=115000*6.7

= 770500


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