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For​ February, the cost components of a picture frame include $0.45 for the​ glass, $0.68 for the wooden​ frame, and $0.95 for assembly. The assembly desk and tools cost $500. Two hundred fifty frames are expected to be produced in the coming year. What cost function best represents these​ costs?

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Answer: C(x) = 2.08 + 500x

Explanation:

Given the following :

Cost component of picture frame :

Glass = $0.45

Wooden frame = $0.68

Assembly = $0.95

Assembly desk and tools = $500

Using the linear cost function :

C(x) = mx + b

C(x) = total cost

b = fixed cost

mx = variable cost

b = cost of glass + wooden frame + assembly

b = $(0.45 + 0.68 + 0.95) =$2.08

mx = (cost of assembly desk and tools * number produced) = 500x

C(x) = 2.08 + 500x

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