When estimating a job to bid, a contractor's estimator first determines the actual cost of labor using the function L (h) = 28.75h, where h is the number of estimated hours it will take to complete the job. Next, the estimator adds the labor burden, which accounts for taxes and insurance, using the function B (L) = 1.78L. Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function M (B) = 1.43B. Which composite function can be used to find the selling price for the labor portion of a bid based on the estimated number of hours?

Question

Mathematics

Marlee Shaw

27 September, 10:43

When estimating a job to bid, a contractor's estimator first determines the actual cost of labor using the function L (h) = 28.75h, where h is the number of estimated hours it will take to complete the job. Next, the estimator adds the labor burden, which accounts for taxes and insurance, using the function B (L) = 1.78L. Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function M (B) = 1.43B. Which composite function can be used to find the selling price for the labor portion of a bid based on the estimated number of hours?

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Answers (1)

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Bryce Dalton · Answer 1

M (h) = 73.18025h

Step-by-step explanation:

The composite function is ...

M (B (L (h))) = M (B (28.75h)) = M (1.78 (28.75h)) = M (51.175h)

= 1.43 (51.175h) = 73.18025h

The composite function is ...

M (h) = M (B (L (h))) = 73.18025h