Hi Chegg experts! Please help me answer these questions in complete/step by step solution. Will uprate once answered ASAP. Thank you.

3.4 More Formal Utility Maximization ( 2 points) Chino has a quasi-linear utility function given by U(x1,x2)=x1+6x232, where prices of goods 1 and 2 are given by p1 and p2, respectively. If Chino's budget is given by m, - Solve for the utility-maximizing quantities of x1,x2, and - Find the maximum utility. - Show that the change in maximum utility due to a peso change in income m is equal to the Lagrange multiplier you got in the first bullet. 3.5 Conceptual Wage ( 2 points) A firm pays a price w for each unit it employs of its labor x. It also incurs fixed costs equal to F. If the firm receives a price p for each unit of output produced, and it produces output given by f(x)=4x1/4, how much of labor x should it employ to maximize profits? Verify whether your answer is indeed a maximum. 3.4 More Formal Utility Maximization ( 2 points) Chino has a quasi-linear utility function given by U(x1,x2)=x1+6x232, where prices of goods 1 and 2 are given by p1 and p2, respectively. If Chino's budget is given by m, - Solve for the utility-maximizing quantities of x1,x2, and - Find the maximum utility. - Show that the change in maximum utility due to a peso change in income m is equal to the Lagrange multiplier you got in the first bullet. 3.5 Conceptual Wage ( 2 points) A firm pays a price w for each unit it employs of its labor x. It also incurs fixed costs equal to F. If the firm receives a price p for each unit of output produced, and it produces output given by f(x)=4x1/4, how much of labor x should it employ to maximize profits? Verify whether your answer is indeed a maximum