WRITE THIS ON C

Problem Statement: 1.(30 points) Bounded-buffer Producer/Consumer problem: Implement a solution to the boundedbuffer producer/consumer problem. Implement the solution using synchronization primitives (pthread mutex_t for mutual exclusion and sem t for minding the buffer size) provided by the POSIX threads. Your implementation will consist of a control program that (i) initializes the buffer and the synchronization variables and (ii) creates and terminates the threads for the producer and the consumer. The producer generates printable characters and places them into the buffer and the consumer pulls the characters out of the buffer one at a time and prints them out. Let the control program simulate all possible conditions: buffer empty (consumer waiting), buffer full (producer waiting), buffer not empty (both producer and consumer working). Assume that production and consumption per character take the same amount of time