The cost to build an amusement park ride by a certain contractor is represented by the function: Cost = 2*x2 – 10/x + 36*y + 25 where x is the number of people able to be on the ride at once. For what value of x would unit cost be minimized? What is the minimum cost for this number of passengers? Show mathematically that the value found is truly a minimum and discuss whether this solution is feasible.

The minimum cost for this number of passengers is Rs.36.05

Step-by-step explanation:

The cost to build an amusement park ride by a certain contractor is represented by the function:

x : Number of people able to be on the ride at once.

Differentiate the function w.r.t x

x=-1.3572

Differentiate the function w.r.t y

Minimum cost =

Minimum cost =

Minimum cost = 36.05

Hence the minimum cost for this number of passengers is Rs.36.05

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step-by-step explanation: