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?
