### Constructing a Finite State Machine for a Vending Machine**Problem Statement:**Construct a finite state machine that models a vending machine accepting only quarters that dispenses a container of orange juice when $0.50 has been deposited, followed by a button being pushed. The possible inputs are quarters and the button, and the possible outputs are nothing, orange juice, and a quarter. The machine returns any extra quarters.**Inputs:**- Quarters ($0.25 each)- Button press**Outputs:**- Nothing- Orange juice- A quarter**Behavior:**- The machine dispenses a container of orange juice once $0.50 has been deposited and the button is pushed.- Any extra quarters inserted are returned by the machine.To model this, we will consider the following states:1. **S0:** Initial state, no quarters inserted.2. **S1:** $0.25 inserted.3. **S2:** $0.50 inserted.4. **S3:** Accept button press and dispense orange juice.**Transitions:**1. **S0:** - On quarter input: move to S1 (balance = $0.25) - On button input: remain in S0 (no action)2. **S1:** - On quarter input: move to S2 (balance = $0.50) - On button input: remain in S1 (no action)3. **S2:** - On quarter input: remain in S2 (return quarter because balance exceeds $0.50) - On button input: move to S3 (dispense orange juice)4. **S3:** - On any input (either quarter or button press): return to S0 (reset state)**Transitions Table:**| Current State | Input | Next State | Output ||---------------|-----------|------------|-------------------------------|| S0 | Quarter | S1 | Nothing || S0 | Button | S0 | Nothing || S1 | Quarter | S2 | Nothing || S1 | Button | S1 | Nothing || S2 | Quarter | S2 | Return quarter || S2 | Button | S3 | Dispense orange juice || S3 | Quarter

The inputs are quarters and button. The outputs are nothing, orange juice and a quarter. The machine…

Answered: Construct a finite state machine that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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