question archive Maize Cookie Factory wants to expand its operations into a new line of cookies

Maize Cookie Factory wants to expand its operations into a new line of cookies

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Maize Cookie Factory wants to expand its operations into a new line of cookies. The company expects to sell $250,000 of the new product in the first year and $400,000 each year thereafter. The direct costs, which include labor and materials, will be 55% of sales. Indirect incremental costs will be estimated at $25,000 a year. With this project they will need new ovens that will cost a total of $350,000 and be depreciated straight line over five years. The marginal tax rate is 35% and the cost of capital is 10%. Assume revenue is collected right away and inventory is bought and paid for daily so there is no additional working capital. 

 

1)Show the incremental cash flows for this project over an eight year period. 

2)Calculate the payback period, NPV, and PI. 

3)Recommend either to accept or reject this plan. Why or why not? 

4)If the space to be used could otherwise be rented out for $25,000 a year how would you put that fact into the calculation? Would the project be acceptable in that case? Why or why not?

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Please find the answer in the explanation.

 

Feel free to ask in case of any doubt in the comment box. Thanks!

Step-by-step explanation

1)                    
Year 0 1 2 3 4 5 6 7 8  
Purchase of new oven -3,50,000                  
Sales revenue   2,50,000 4,00,000 4,00,000 4,00,000 4,00,000 4,00,000 4,00,000 4,00,000  
Less: Cost of goods sold          1,37,500         2,20,000         2,20,000         2,20,000         2,20,000         2,20,000         2,20,000         2,20,000   
Gross profit          1,12,500         1,80,000         1,80,000         1,80,000         1,80,000         1,80,000         1,80,000         1,80,000   
Less: Incremental costs   25,000 25,000 25,000 25,000 25,000 25,000 25,000 25,000  
Less: Depreciation (350,000 /5)   70,000 70,000 70,000 70,000 70,000        
Income before tax              17,500             85,000             85,000             85,000             85,000         1,55,000         1,55,000         1,55,000   
Less: Taxes@35%                6,125             29,750             29,750             29,750             29,750             54,250             54,250             54,250   
Income after tax              11,375             55,250             55,250             55,250             55,250         1,00,750         1,00,750         1,00,750   
Add: Depreciation   70,000 70,000 70,000 70,000 70,000        
Incremental cash flows -3,50,000            81,375         1,25,250         1,25,250         1,25,250         1,25,250         1,00,750         1,00,750         1,00,750   
Cumulative cash flows -3,50,000       -2,68,625        -1,43,375           -18,125         1,07,125         2,32,375         3,33,125         4,33,875         5,34,625   
                     
2)                    
Payback period Last period number with a negative cumulative cash flow + (Absolute value / Total cash inflow during the period)  
  3 + (-18,125 /125,250)                
  3 + 0.145 = 3.145 years                
                     
NPV  $   2,40,481.73  [NPV(10%,C12:J12) +B12]              
PI 1.6871 [NPV(10%,C12:J12) / B12]              
                     
3)                    
Project should be accepted as NPV is positive and PI is more than one.              
                     
4) If the space to be used then rent of $25,000 should be generated              
Year 1 2 3 4 5 6 7 8    
Rent revenue 25,000 25,000 25,000 25,000 25,000 25,000 25,000 25,000    
NPV   $   1,33,373.15  [NPV(10%,B29:I29)]              
                     
Project should be acceptable as NPV is lower, when the project is not accepted. So, the project is acceptable.