When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function cap l times h is equal to 28 point 7 5 h , 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 cap b times cap l is equal to 1 point 7 8 liters Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function cap m times cap b is equal to 1 point 4 3 cap b 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?
Answer
A
cap m times open paren cap b times h close paren is equal to 31 point 9 6 h
B
cap m times open paren cap b times h close paren is equal to 30 point 5 3 h
C
cap m times open paren cap b times h close paren is equal to 73 point 1 8 0 2 5 h
D
cap m times open paren cap b times h close paren is equal to 51 point 1 7 5 h
Explanation
Apply the three functions in order: labor cost is 28.75h, labor burden multiplies that by 1.78, and the selling-price calculation multiplies the result by 1.43. Thus the composite function is 1.43 × 1.78 × 28.75h = 73.18025h. The selling price is 73.18025h, which is choice C.
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