The planning department of Abstract Office Supplies has been asked to determine whether the company should introduce a new computer desk next year. The department estimates that bsp $ 16 comma 000 $16,000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $ 250.$250. The department also estimates that the revenue from each desk will be $ 650.$650.
a. Determine the revenue function R(x) from the sale of x desks. R(x)equals=nothing
b. Determine the cost function C(x) for manufacturing x desks. C(x)equals=nothing
c. Find the number of desks that must be sold for the company to break even. nothing

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wifilethbridge wifilethbridge · Answer 1 · 2019-11-18T07:44:00+01:00

Answer:

a) R(x)=650x

b)C(x)=16000+250x

c)the number of desks that must be sold for the company to break even is 40

Step-by-step explanation:

Cost of manufacturing equipment = $16000

Let the no. of desks be x

Cost of constructing 1 desk = $250

Cost of constructing x desks = 250x

Total cost = 16000+250x

Let C(x) denotes the cost function of x desks

So, C(x)=16000+250x

Revenue from 1 desk = $650

Revenue from x desks = $650x

Let the revenue function be R(x) for x desks

So, R(x)=650x

a) R(x)=650x

b)C(x)=16000+250x

c) Find the number of desks that must be sold for the company to break even.

So, C(x)=R(x)

[tex]16000+250x=650x[/tex]

[tex]16000=400x[/tex]

[tex]40=x[/tex]

c)So, the number of desks that must be sold for the company to break even is 40