CERAMICS Josh has 8 days to make pots and plates to sell at a local fair. Each potweighs 2 pounds and each plate weighs 1 pound. Josh cannot carry more than 50 poundsto the fair. Each day, he can make at most 5 plates and at most 3 pots. He will make $12profit for every plate and $25 profit for every pot that he sells. a. Write linear inequalities to represent the number of pots p and plates a Josh maybring to the fair. b. List the coordinates of the vertices of the feasible region. c. How many pots and how many plates should Josh make to maximize his potentialprofit?