Answer to Question #198827 in Calculus for Muhammad Asif

Question

A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delivery takes an average of 30 hours. Drivers are paid at the rate of $20 per hour up to maximum of 40 hours. If the trip requires more than 30 hours, the drivers receive compensation for only 30 hours. There is an incentive for drivers to make the trip in less (but not to much less) than 30 hours. For each hour under 30, the hourly wage increases by $1.25.

Determine the function w = f(x) where w equals the hourly wage in dollars and x equals the number of hours required to complete the trip. 

a) What trip time x will maximize the driver salary for the trip?

b) What is the hourly wage associated with this trip?

c) What is the maximum salary

d) How does this salary compare with that received for a 20 hours trip?

Answer 1

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