Q$3$: Use the following data to answer the questions that follows. Assume a perfectly competitive product market. Assume a Monopsony in the labor market.

$\backslash$table$[[\backslash$table$[[$Quantity of$],[$Labor$]],$Wage,$\backslash$table$[[$Total$],[$Wage Cost$]],\backslash$table$[[$Marginal$],[$Labor Cost$]],\backslash$table$[[$Total$],[$Product$]],$MP$,$MRP$],[1,$$$10,,,10,,],[2,$$$11,,,19,,],[3,$$$12,,,27,,],[4,$$$13,,,34,,],[5,$$$14,,,40,,],[6,$$$15,,,49,,],[7,$$$17,,,52,,],[8,,,,49,,]]$

a$.$ If the price of the product produced is selling for $$3,$ what will be the quantity of labor hired? Show all your math

b$.$ Using your answer to part $($a$),$ compare the firm't total revenue to the total amount paid for labor?

c$.$ If a union could successfully negotiate a wage increase for its members without increasing or decreasing the number of workers employed, what would the worker wage be$?$ Please fill in graph and answer a b and c