5. (10 Points) The multivariable function C(x, y) = 431787.4 - 116.8x + 0.1x2 - 14.5y + 0.05y gives the cost, in dollars, for a company to manufacture x steel construction beams and y electrical panels. The company sells each steel construction beam for $900 and each electrical panel for $800. a.) The company is constrained by the requirement that a revenue of $1,000,000 must be achieved. Write this constraint as an equation. b.) Using the method of Lagrange Multipliers, find the number of units of steel construction beams and electrical panels that must be manufactured into order to minimize cost, subject to the constraint that $1,000,000 must be achieved. You do not need to verify this is a minimum. c.) The profit the company will yield is the difference between how much revenue they bring in and how much it costs them to manufacture those units. Given you answer from b), what is the maximum profit they can make? Note that you will need to know the cost of manufacturing the number of units you determined should be sold in part b)