SOLUTION: A office supply store has been asked to determine weather or not the company should introduce a new computer desk next year. The store estimates that $6000 of new manufacturing equ

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Question 1083836: A office supply store has been asked to determine weather or not the company should introduce a new computer desk next year. The store estimates that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The store estimates that the revenue from each desk will be $450.
A) Determine the revenue function R (x) from the sale of x desks.
B) Determine the cost function C (x) for manufacturing x desks.
C) Find the break-even point.

Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
R = 450x-(6000+200x)
C = 6000+200x
BE = 450x = 6000+200x; 250x = 6000; x = 24 units
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A office supply store has been asked to determine weather or not the company should introduce a new computer desk next year. The store estimates that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The store estimates that the revenue from each desk will be $450.
A) Determine the revenue function R (x) from the sale of x desks.
B) Determine the cost function C (x) for manufacturing x desks.
C) Find the break-even point. 
R(x) = 450x

C(x) = 200x + 6,000

BEP equation: 450x = 200x + 6,000

Solve for x to get the BEP, in units. 

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