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Fixed and Variable Costs

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Greg Morrison recently graduated from construction engineering school. He is considering opening his own construction business providing module housing. Providing module homes is a high-fixed cost business, as it requires considerable expenditures for facilities, labor, and equipment, no matter how many families are served. Assume the annual fixed cost of operations is $800,000. Further assume that the only significant variable cost relates to the module homes, themselves. An average module home costs $12,000. Greg's banker has asked a variety of questions in contemplation of providing a loan for this business:

(a) If the average family is charged $18,000 for installation of a module home, how many families must be served to clear the break-even point?
The annual fixed cost is $800,000 along with $12,000 per module home. $18,000 minus $12,000 is $6,000. As every home is purchased, it will take care of the $12,000 variable cost. The remaining revenue of $6,000 on every home will have to cover the $800,000. This will be done by dividing $800,000 by $6,000 and getting 133.33 houses. So, at least 134 families will have to be served to reach and clear break-even point.

(b) If the banker believes Greg will only serve 100 families during the first year in business, how much will the business lose during its first year of operation?
If Greg serves 100 families that means 100 x $18,000 - 100 x $12,000 will be the profit only looking at variable costs which is $600,000. This amount needs to be subtracted from the annual fixed cost of $800,000 which gives us $200,000 which will be the business loss.

(c) If Greg believes his profits will be at least $100,000 during the first year, how much is he anticipating for total revenue?
If profits will be at least $100,000 then the $18,000 times the amount of houses purchased and then subtracted by $12,000 times the amount

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