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Business, 18.10.2021 21:50 Javanese5987

The grading of roadways requires both labor and machine time. Assume that from empirical experience, the number of miles of roadway H that can be graded as a function of L hours of labor and M hours of machine time is given by: H = 0.6L0.25 M0.6 Labor costs $70/hr, machine time costs $400/hr, and 24 miles of road must be graded. a) State this problem in terms of an objective function and constraint(s). b) Solve this problem by hand using the Lagrange multiplier method. Find the optimal values of L, M, and the Lagrange multiplier. c) Check your answer by enumeration using a programming language (Python) and by using Excel Solver. d) At the last minute, before your total cost estimate must be delivered, y

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