SOLUTION: A furniture manufacturing company has been asked to determine whether the company should introduce a new computer desk next year. The company estimated that $6000 of new manufactur

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Question 520591: A furniture manufacturing company has been asked to determine whether the company should introduce a new computer desk next year. The company estimated that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The department also estimates that the revenue from each desk will be $450.

a. Determine the revenue function R(x) from the sale of the x desks
b. Determine the cost function C(x) for manufacturing x desks.
c. Find the break-even point.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A furniture manufacturing company has been asked to determine whether the company should introduce a new computer desk next year. The company estimated that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The department also estimates that the revenue from each desk will be $450.
a. Determine the revenue function R(x) from the sale of the x desks
R(x) = 450x
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b. Determine the cost function C(x) for manufacturing x desks.
C(x) = 6000 + 200x
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c. Find the break-even point.
Solve R(x) = C(x)
450x = 6000 + 200x
250x = 6000
x = 24 desks
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Cheers,
Stan H.
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